pinecone/core-2020-05-10-deduplication huggingface dataset:
Oscillating propagators in heavy-dense QCD

Using Monte Carlo simulations and extended mean field theory calculations we
show that the $3$-dimensional $Z_3$ spin model with complex external fields has
non-monotonic spatial correlators in some regions of its parameter space. This
model serves as a proxy for heavy-dense QCD in $(3+1)$ dimensions.
Non-monotonic spatial correlators are intrinsically related to a complex mass
spectrum and a liquid-like (or crystalline) behavior. A liquid phase could have
implications for heavy-ion experiments, where it could leave detectable signals
in the spatial correlations of baryons.Comment: 16 pages, 9 figures, updated to match published versio
Two-loop QED corrections to the Altarelli-Parisi splitting functions

We compute the two-loop QED corrections to the Altarelli-Parisi (AP)
splitting functions by using a deconstructive algorithmic Abelianization of the
well-known NLO QCD corrections. We present explicit results for the full set of
splitting kernels in a basis that includes the leptonic distribution functions
that, starting from this order in the QED coupling, couple to the partonic
densities. Finally, we perform a phenomenological analysis of the impact of
these corrections in the splitting functions.Comment: 17 pages, 5 figures. Typos corrected, 1 figure added. Final version
  published in JHEP. Comment added about Eq. (51
Resolved gravity duals of ${\cal N}=4$ quiver field theories in 2+1
  dimensions

We generalize the construction by Aharony, Hashimoto, Hirano, and Ouyang of
${\cal N}=4$ quiver gauge theory with gauge group $U(N+M) \times U(N)$, $k$
fundamentals charged under $U(N)$ and bi-fundamentals, to the case with gauge
group $\prod_{i=1}^{\hat k} U(N_i)$ with $k_i$ fundamentals charged under
$U(N_i)$. This construction is facilitated by considering the resolved
$ALE_{\hat k} \times TN_{k}$ background in M-theory including non-trivial
fluxes through the resolved 4-cycles in the geometry. We also describe the
M-theory lift of the IIA Page charge quantization condition. Finally, we
clarify the role of string corrections in various regimes of parameter space.Comment: 34 pages, 11 figure
Fermion masses through four-fermion condensates

Fermion masses can be generated through four-fermion condensates when
symmetries prevent fermion bilinear condensates from forming. This less
explored mechanism of fermion mass generation is responsible for making four
reduced staggered lattice fermions massive at strong couplings in a lattice
model with a local four-fermion coupling. The model has a massless fermion
phase at weak couplings and a massive fermion phase at strong couplings. In
particular there is no spontaneous symmetry breaking of any lattice symmetries
in both these phases. Recently it was discovered that in three space-time
dimensions there is a direct second order phase transition between the two
phases. Here we study the same model in four space-time dimensions and find
results consistent with the existence of a narrow intermediate phase with
fermion bilinear condensates, that separates the two asymptotic phases by
continuous phase transitions.Comment: 19 pages, 7 figure file
Scalar correlator, Higgs decay into quarks, and scheme variations of the
  QCD coupling

In this work, the perturbative QCD series of the scalar correlation function
$\Psi(s)$ is investigated. Besides ${\rm Im}\Psi(s)$, which is relevant for
Higgs decay into quarks, two other physical correlators, $\Psi^{"}(s)$ and
$D^L(s)$, have been employed in QCD applications like quark mass determinations
or hadronic $\tau$ decays. $D^L(s)$ suffers from large higher-order corrections
and, by resorting to the large-$\beta_0$ approximation, it is shown that this
is related to a spurious renormalon ambiguity at $u=1$. Hence, this correlator
should be avoided in phenomenological analyses. Moreover, it turns out
advantageous to express the quark mass factor, introduced to make the scalar
current renormalisation group invariant, in terms of the renormalisation
invariant quark mass $\hat m_q$. To further study the behaviour of the
perturbative expansion, we introduce a QCD coupling $\hat\alpha_s$, whose
running is explicitly renormalisation scheme independent. The scheme dependence
of $\hat\alpha_s$ is parametrised by a single parameter $C$, being related to
transformations of the QCD scale parameter $\Lambda$. It is demonstrated that
appropriate choices of $C$ lead to a substantial improvement in the behaviour
of the perturbative series for $\Psi^{"}(s)$ and ${\rm Im}\Psi(s)$.Comment: 29 pages, 4 figures; minor modifications, version to be published in
  JHE
Partition Functions with spin in AdS_2 via Quasinormal Mode Methods

We extend the results of arXiv:1401.7016, computing one loop partition
functions for massive fields with spin half in AdS_2 using the quasinormal mode
method proposed by Denef, Hartnoll, and Sachdev in arXiv:0908.2657. We find the
finite representations of SO(2,1) for spin zero and spin half, consisting of a
highest weight state |h\rangle and descendants with non-unitary values of h.
These finite representations capture the poles and zeroes of the one loop
determinants. Together with the asymptotic behavior of the partition functions
(which can be easily computed using a large mass heat kernel expansion), these
are sufficient to determine the full answer for the one loop determinants. We
also discuss extensions to higher dimensional AdS_{2n} and higher spins.Comment: 18 pages + appendix; V2 has an extended section 5, following a
  suggestion by the refere
The Wilson Flow and the finite temperature phase transition

We consider the determination of the finite temperature phase transition in
the Yang--Mills SU(3) gauge theory. We compute the difference of the spatial
and temporal energy density at a physical Wilson flow time. This difference is
zero in the confined phase and becomes non zero in the deconfined phase. We
locate the phase transition by using a new technique based on an exponential
smoothing spline. This method is an alternative to the determination of the
phase transition based on the Polyakov loop susceptibility and can also be used
with dynamical fermions.Comment: 13 pages, 6 figures; clarification added in section 2.4; version
  accepted for publication in JHE
Aspects of Defects in 3d-3d Correspondence

In this paper we study supersymmetric co-dimension 2 and 4 defects in the
compactification of the 6d $(2,0)$ theory of type $A_{N-1}$ on a 3-manifold
$M$. The so-called 3d-3d correspondence is a relation between complexified
Chern-Simons theory (with gauge group $SL(N, \mathbb{C})$) on $M$ and a 3d
$\mathcal{N}=2$ theory $T_{N}[M]$. We establish a dictionary for this
correspondence in the presence of supersymmetric defects, which are knots/links
inside the 3-manifold. Our study employs a number of different methods:
state-integral models for complex Chern-Simons theory, cluster algebra
techniques, domain wall theory $T[SU(N)]$, 5d $\mathcal{N}=2$ SYM, and also
supergravity analysis through holography. These methods are complementary and
we find agreement between them. In some cases the results lead to highly
non-trivial predictions on the partition function. Our discussion includes a
general expression for the cluster partition function, in particular for
non-maximal punctures and $N>2$. We also highlight the non-Abelian description
of the 3d $\mathcal{N}=2$ $T_N[M]$ theory with defect included, as well as its
Higgsing prescription and the resulting `refinement' in complex CS theory. This
paper is a companion to our shorter paper arXiv:1510.03884, which summarizes
our main results.Comment: 129 pages (sorry), 22 figure
Correlations in Double Parton Distributions: Perturbative and
  Non-Perturbative effects

The correct description of Double Parton Scattering (DPS), which represents a
background in several channels for the search of new Physics at the LHC,
requires the knowledge of double parton distribution functions (dPDFs). These
quantities represent also a novel tool for the study of the three-dimensional
nucleon structure, complementary to the possibilities offered by
electromagnetic probes. In this paper we analyze dPDFs using Poincar\'e
covariant predictions obtained by using a Light-Front constituent quark model
proposed in a recent paper, and QCD evolution. We study to what extent
factorized expressions for dPDFs, which neglect, at least in part, two-parton
correlations, can be used. We show that they fail in reproducing the calculated
dPDFs, in particular in the valence region. Actually measurable processes at
existing facilities occur at low longitudinal momenta of the interacting
partons; to have contact with these processes we have analyzed correlations
between pairs of partons of different kind, finding that, in some cases, they
are strongly suppressed at low longitudinal momenta, while for other
distributions they can be sizeable. For example, the effect of gluon-gluon
correlations can be as large as 20 $\%$. We have shown that these behaviors can
be understood in terms of a delicate interference of non-perturbative
correlations, generated by the dynamics of the model, and perturbative ones,
generated by the model independent evolution procedure. Our analysis shows that
at LHC kinematics two-parton correlations can be relevant in DPS, and therefore
we address the possibility to study them experimentally.Comment: 34 pages, 20 figure
Transverse-momentum-dependent gluon distributions from JIMWLK evolution

Transverse-momentum-dependent (TMD) gluon distributions have different
operator definitions, depending on the process under consideration. We study
that aspect of TMD factorization in the small-x limit, for the various
unpolarized TMD gluon distributions encountered in the literature. To do this,
we consider di-jet production in hadronic collisions, since this process allows
to be exhaustive with respect to the possible operator definitions, and is
suitable to be investigated at small x. Indeed, for forward and nearly
back-to-back jets, one can apply both the TMD factorization and Color Glass
Condensate (CGC) approaches to compute the di-jet cross-section, and compare
the results. Doing so, we show that both descriptions coincide, and we show how
to express the various TMD gluon distributions in terms of CGC correlators of
Wilson lines, while keeping Nc finite. We then proceed to evaluate them by
solving the JIMWLK equation numerically. We obtain that at large transverse
momentum, the process dependence essentially disappears, while at small
transverse momentum, non-linear saturation effects impact the various TMD gluon
distributions in very different ways. We notice the presence of a geometric
scaling regime for all the TMD gluon distributions studied: the "dipole" one,
the Weizs\"acker-Williams one, and the six others involved in forward di-jet
production.Comment: 21 pages, 7 figures, version published in JHE
Bounding the Space of Holographic CFTs with Chaos

Thermal states of quantum systems with many degrees of freedom are subject to
a bound on the rate of onset of chaos, including a bound on the Lyapunov
exponent, $\lambda_L\leq 2\pi /\beta$. We harness this bound to constrain the
space of putative holographic CFTs and their would-be dual theories of AdS
gravity. First, by studying out-of-time-order four-point functions, we discuss
how $\lambda_L=2\pi/\beta$ in ordinary two-dimensional holographic CFTs is
related to properties of the OPE at strong coupling. We then rule out the
existence of unitary, sparse two-dimensional CFTs with large central charge and
a set of higher spin currents of bounded spin; this implies the inconsistency
of weakly coupled AdS$_3$ higher spin gravities without infinite towers of
gauge fields, such as the $SL(N)$ theories. This fits naturally with the
structure of higher-dimensional gravity, where finite towers of higher spin
fields lead to acausality. On the other hand, unitary CFTs with classical
$W_{\infty}[\lambda]$ symmetry, dual to 3D Vasiliev or hs[$\lambda$] higher
spin gravities, do not violate the chaos bound, instead exhibiting no chaos:
$\lambda_L=0$. Independently, we show that such theories violate unitarity for
$|\lambda|>2$. These results encourage a tensionless string theory
interpretation of the 3D Vasiliev theory. We also perform some CFT calculations
of chaos in Rindler space in various dimensions.Comment: 50+18 pages. v3: Section 3 clarified and reorganized, related
  improvement
Einstein-Yang-Mills from pure Yang-Mills amplitudes

We present new relations for scattering amplitudes of color ordered gluons
and gravitons in Einstein-Yang-Mills theory. Tree-level amplitudes of arbitrary
multiplicities and polarizations involving up to three gravitons and up to two
color traces are reduced to partial amplitudes of pure Yang-Mills theory. In
fact, the double-trace identities apply to Einstein-Yang-Mills extended by a
dilaton and a B-field. Our results generalize recent work of Stieberger and
Taylor for the single graviton case with a single color trace. As the
derivation is made in the dimension-agnostic Cachazo-He-Yuan formalism, our
results are valid for external bosons in any number of spacetime dimensions.
Moreover, they generalize to the superamplitudes in theories with 16
supercharges.Comment: 28 pages, v2: references and appendix added, published versio
Complementarity of DM Searches in a Consistent Simplified Model: the
  Case of Z'

We analyze the constraints from direct and indirect detection on fermionic
Majorana Dark Matter (DM). Because the interaction with the Standard Model (SM)
particles is spin-dependent, a priori the constraints that one gets from
neutrino telescopes, the LHC, direct and indirect detection experiments are
comparable. We study the complementarity of these searches in a particular
example, in which a heavy $Z'$ mediates the interactions between the SM and the
DM. We find that for heavy dark matter indirect detection provides the
strongest bounds on this scenario, while IceCube bounds are typically stronger
than those from direct detection. The LHC constraints are dominant for smaller
dark matter masses. These light masses are less motivated by thermal relic
abundance considerations. We show that the dominant annihilation channels of
the light DM in the Sun and the Galactic Center are either $b\bar b$ or $t\bar
t$, while the heavy DM annihilation is completely dominated by $Zh$ channel.
The latter produces a hard neutrino spectrum which has not been previously
analyzed. We study the neutrino spectrum yielded by DM and recast IceCube
constraints to allow proper comparison with constraints from direct and
indirect detection experiments and LHC exclusions. Note that the original
version of the paper contains an important error: the contribution of the
$Z$-mediated processes was overlooked. This changes some of the results of the
paper. For the details and the correct results please see the erratum attached
to this file as an appendix.Comment: v1: 38 pages, 8 figures; v2: added references; v3: matches published
  version: added a recast of the indirect constraints from Fermi-LAT
  observations of Dwarf Spheroidal Galaxies; v4: corrected an important error,
  by including the Z exchange, updating the result and attaching an erratu
Cosmic Decoherence: Massive Fields

We study the decoherence of massive fields during inflation based on the
Zurek's density matrix approach. With the cubic interaction between inflaton
and massive fields, the reduced density matrix for the massive fields can be
calculated in the Schr\"odinger picture which is related to the variance of the
non-Gaussian exponent in the wave functional. The decoherence rate is computed
in the one-loop form from functional integration. For heavy fields with
$m\gtrsim \mathcal{O}(H)$, quantum fluctuations will easily stay in the quantum
state and decoherence is unlikely. While for light fields with mass smaller
than $\mathcal{O}(H)$, quantum fluctuations are easily decohered within
$5\sim10$ e-folds after Hubble crossing. Thus heavy fields can play a key role
in studying problems involving inflationary quantum information.Comment: 26 pages, 3 figures; added references and corrected typo
On the Holography of Free Yang-Mills

We study the AdS$_5$/CFT$_4$ duality where the boundary CFT is free
Yang-Mills theory with gauge group SU(N). At the planar level we use the
spectrum and correlation functions of the boundary theory to explicate features
of the bulk theory. Further, by computing the one-loop partition function of
the bulk theory using the methods of arXiv:1603.05387, we argue that the bulk
coupling constant should be shifted to $N^2$ from $N^2-1$. Similar conclusions
are reached by studying the dualities in thermal AdS$_5$ with $S^1\times S^3$
boundary.Comment: 44 pages, version to appear in JHE
Non-geometric branes are DFT monopoles

The double field theory monopole solution by Berman and Rudolph is shown to
reproduce non-geometric backgrounds with non-vanishing Q- and R-flux upon an
appropriate choice of physical and dual coordinates. The obtained backgrounds
depend non-trivially on dual coordinates and have only trivial monodromies.
Upon smearing the solutions along the dual coordinates one reproduces the known
$5^2_2$ solution for the Q-brane and co-dimension 1 solution for the R-brane.
The T-duality invariant magnetic charge is explicitly calculated for all these
backgrounds and is found to be equal to the magnetic charge of (unsmeared)
NS5-brane.Comment: 26 pages and appendi
W-symmetry, topological vertex and affine Yangian

We discuss the representation theory of non-linear chiral algebra
$\mathcal{W}_{1+\infty}$ of Gaberdiel and Gopakumar and its connection to
Yangian of $\hat{\mathfrak{u}(1)}$ whose presentation was given by Tsymbaliuk.
The characters of completely degenerate representations of
$\mathcal{W}_{1+\infty}$ are for generic values of parameters given by the
topological vertex. The Yangian picture provides an infinite number of
commuting charges which can be explicitly diagonalized in
$\mathcal{W}_{1+\infty}$ highest weight representations. Many properties that
are difficult to study in $\mathcal{W}_{1+\infty}$ picture turn out to have a
simple combinatorial interpretation
The D3-probe-D7 brane holographic fractional topological insulator

The D3-probe-D7 brane system, oriented so as to have 2+1-dimensional Poincare
symmetry, is argued to be the holographic representation of a strongly
correlated fractional topological insulator which exhibits a zero-field
quantized Hall effect with half-units of Hall conductivity. The phase diagram
of the system with charge density and external magnetic field is found and, as
well as charge gapped quantum Hall states, it exhibits metallic and
semi-metallic phases with interesting behaviours. The relationship of this to
other models of fractional topological insulators is discussed.Comment: 22 pages, 2 figures, text restructured, five additional plots
  included, published versio
Anomalies, Renormalization Group Flows, and the a-Theorem in
  Six-Dimensional (1,0) Theories

We establish a linear relation between the $a$-type Weyl anomaly and the 't
Hooft anomaly coefficients for the $R$-symmetry and gravitational anomalies in
six-dimensional $(1,0)$ superconformal field theories. For RG flows onto the
tensor branch, where conformal symmetry is spontaneously broken, supersymmetry
relates the anomaly mismatch $\Delta a$ to the square of a four-derivative
interaction for the dilaton. This establishes the $a$-theorem for all such
flows. The four-derivative dilaton interaction is in turn related to the
Green-Schwarz-like terms that are needed to match the 't Hooft anomalies on the
tensor branch, thus fixing their relation to $\Delta a$. We use our formula to
obtain exact expressions for the $a$-anomaly of $N$ small $E_8$ instantons, as
well as $N$ M5-branes probing an orbifold singularity, and verify the
$a$-theorem for RG flows onto their Higgs branches. We also discuss aspects of
supersymmetric RG flows that terminate in scale but not conformally invariant
theories with massless gauge fields.Comment: 38 pages, 3 figures; added references and an appendi
New constraints and discovery potential for Higgs to Higgs cascade
  decays through vectorlike leptons

One of the cleanest signatures of a heavy Higgs boson in models with
vectorlike leptons is $H\to e_4^\pm \ell^\mp \to h\ell^+\ell^-$ which, in two
Higgs doublet model type-II, can even be the dominant decay mode of heavy
Higgses. Among the decay modes of the standard model like Higgs boson, $h$, we
consider $b \bar b$ and $\gamma \gamma$ as representative channels with sizable
and negligible background, respectively. We obtained new model independent
limits on production cross section for this process from recasting existing
experimental searches and interpret them within the two Higgs doublet model. In
addition, we show that these limits can be improved by about two orders of
magnitude with appropriate selection cuts immediately with existing data sets.
We also discuss expected sensitivities with integrated luminosity up to 3
ab$^{-1}$ and present a brief overview of other channels.Comment: 17 pages, 9 figure
Spectrum in the presence of brane-localized mass on torus extra
  dimensions

The lightest mass eigenvalue of a six-dimensional theory compactified on a
torus is numerically evaluated in the presence of the brane-localized mass
term. The dependence on the cutoff scale $\Lambda$ is non-negligible even when
$\Lambda$ is two orders of magnitude above the compactification scale, which
indicates that the mass eigenvalue is sensitive to the size of the brane, in
contrast to five-dimensional theories. We obtain an approximate expression of
the lightest mass in the thin brane limit, which well fits the numerical
calculations, and clarifies its dependence on the torus moduli parameter
$\tau$. We find that the lightest mass is typically much lighter than the
compactification scale by an order of magnitude even in the limit of a large
brane mass.Comment: 21 pages, 13 figures, published version in JHE
From physical symmetries to emergent gauge symmetries

Gauge symmetries indicate redundancies in the description of the relevant
degrees of freedom of a given field theory and restrict the nature of
observable quantities. One of the problems faced by emergent theories of
relativistic fields is to understand how gauge symmetries can show up in
systems that contain no trace of these symmetries at a more fundamental level.
In this paper we start a systematic study aimed to establish a satisfactory
mathematical and physical picture of this issue, dealing first with abelian
field theories. We discuss how the trivialization, due to the decoupling and
lack of excitation of some degrees of freedom, of the Noether currents
associated with physical symmetries leads to emergent gauge symmetries in
specific situations. An example of a relativistic field theory of a vector
field is worked out in detail in order to make explicit how this mechanism
works and to clarify the physics behind it. The interplay of these ideas with
well-known results of importance to the emergent gravity program, such as the
Weinberg-Witten theorem, are discussed
Bulk Local States and Crosscaps in Holographic CFT

In a weakly coupled gravity theory in the anti-de Sitter space, local states
in the bulk are linear superpositions of Ishibashi states for a crosscap in the
dual conformal field theory. The superposition structure can be constrained
either by the microscopic causality in the bulk gravity or the bootstrap
condition in the boundary conformal field theory. We show, contrary to some
expectation, that these two conditions are not compatible to each other in the
weak gravity regime. We also present an evidence to show that bulk local states
in three dimensions are not organized by the Virasoro symmetry.Comment: 8 page