Infrared Behavior of 3-Point Functions in Landau Gauge Yang-Mills Theory
The three-gluon and ghost-gluon vertices of Landau gauge Yang-Mills theory are investigated in the low momentum regime. Due to ghost dominance in the infrared we can use the known power law behavior for the propagators to determine analytically the complete momentum dependence of the dressing functions. Besides a uniform, i. e. all momenta going to zero, divergence, we find additional singularities, if one momentum alone goes to zero, while the other two remain constant. At these asymmetric points we can extract additional infrared exponents, which corroborate previous results and expand the known fixed point solution of Landau gauge Yang-Mills theory, where the uniform infrared exponents for all vertex functions are known. Calculations in two and three dimensions yield qualitatively similar results.

title: Infrared analysis of Dyson-Schwinger equations taking into account the Gribov horizon in Landau gauge
abstract: The low momentum behavior of the Landau gauge Gribov-Zwanziger action is investigated using the respective Dyson-Schwinger equations. Because of the mixing of the gluon and the auxiliary fields four scenarios can be distinguished for the infrared behavior. Two of them lead to inconsistencies and can be discarded. Another one corresponds to the case where the auxiliary fields behave exactly like the Faddeev-Popov ghosts and the same scaling relation as in standard Landau gauge, {kappa}{sub A}+2{kappa}{sub c}=0, is valid. Even the parameter {kappa} is found to be the same, 0.595. The mixed propagators, which appear, are suppressed in all loops, and their anomalous infrared exponent can also be determined. A fourth case provides an even stricter scaling relation that includes also the mixed propagators, but possesses the same qualitative feature, i.e. the propagators of the Faddeev-Popov ghost and the auxiliary fields are infrared enhanced and the mixed and the gluon propagators are infrared suppressed. In this case the system of equations to obtain the parameter {kappa} is nonlinear in all variables.

title: Infrared Behavior of 3-Point Functions in Landau Gauge Yang-Mills Theory
abstract: The three-gluon and ghost-gluon vertices of Landau gauge Yang-Mills theory are investigated in the low momentum regime. Due to ghost dominance in the infrared we can use the known power law behavior for the propagators to determine analytically the complete momentum dependence of the dressing functions. Besides a uniform, i. e. all momenta going to zero, divergence, we find additional singularities, if one momentum alone goes to zero, while the other two remain constant. At these asymmetric points we can extract additional infrared exponents, which corroborate previous results and expand the known fixed point solution of Landau gauge Yang-Mills theory, where the uniform infrared exponents for all vertex functions are known. Calculations in two and three dimensions yield qualitatively similar results.

title: Vertex functions of Coulomb gauge Yang-Mills theory
abstract: The canonical recursive Dyson--Schwinger equations for the three-gluon and ghost-gluon vertices are solved numerically. The employed truncation includes several previously neglected diagrams and includes back-coupling effects. We find an infrared finite ghost-gluon vertex and an infrared diverging three-gluon vertex. We also compare our results with those obtained in previous calculations, where bare vertices were used in the loop diagrams.

title: Confinement and Green functions in Landau-gauge QCD
abstract: Institut fur Physik, Karl-Franzens-Universitat, Universitatsplatz 5, A-8010 Graz, AustriaIn a functionalapproachto QCD the infraredbehaviourof LandaugaugeGreenfunctionsis inves-tigated. Positivity violation for, and thus conﬁnement of, gluons is demonstrated, and the analyticstructure of the gluon propagator is studied. Quark conﬁnem ent is related to an infrared diver-gence of the quark-gluon vertex. In the latter various components are dynamically induced dueto the spontaneous breaking of chiral symmetry. As a result an infrared ﬁnite running coupling inthe Yang-Mills sector is derived whereas the running coupling related to the quark-gluonvertex isinfrared divergent. Based on a truncation for the quark-gluon vertex Dyson-Schwinger equation,which respects the analytically determined infrared behavior, numerical results for the coupledsystem of the quark propagator and vertex Dyson-Schwinger equations are presented. The result-ing quark mass function as well as the vertex function show only a very weak dependence on thecurrent quark mass in the deep infrared. From this we infer by an analysis of the quark-quarkscattering kernel a linearly rising quark potential with an almost mass independent string tensionin the case of broken chiral symmetry.8th Conference Quark Conﬁnement and the Hadron SpectrumSeptember 1-6, 2008Mainz, Germany

title: Infrared behavior of vertex functions in d-dimensional Yang-Mills theory

title: Relativistic entanglement of two massive particles
abstract: We describe the spin and momentum degrees of freedom of a system of two massive spin-(1/2) particles as a four-qubit system. Then we explicitly show how the entanglement changes between different partitions of the qubits, when considered by different inertial observers. Although the two particle entanglement corresponding to a partition into Alice's and Bob's subsystems is, as often stated in the literature, invariant under Lorentz boosts, the entanglement with respect to other partitions of the Hilbert space on the other hand, is not. It certainly does depend on the chosen inertial frame and on the initial state considered. The change of entanglement arises, because a Lorentz boost on the momenta of the particles causes a Wigner rotation of the spin, which in certain cases entangles the spin with the momentum states. We systematically investigate the situation for different classes of initial spin states and different partitions of the four-qubit space. Furthermore, we study the behavior of Bell inequalities for different observers and demonstrate how the maximally possible degree of violation, using the Pauli-Lubanski spin observable, can be recovered by any inertial observer.

title: The Cryogenic Dark Matter Search test stand warm electronics card
abstract: A card which does the signal processing for four SQUID amplifiers and two charge sensitive channels is described. The card performs the same functions as is presently done with two custom 9U × 280 mm Eurocard modules, a commercial multichannel VME digitizer, a PCI to GPIB interface, a PCI to VME interface and a custom built linear power supply. By integrating these functions onto a single card and using the power over Ethernet standard, the infrastructure requirements for instrumenting a Cryogenic Dark Matter Search (CDMS) detector test stand are significantly reduced.

title: Measuring the neutron's mean square charge radius using neutron interferometry
abstract: The neutron is electrically neutral, but its substructure consists of charged quarks so it may have an internal charge distribution. In fact it is known to have a negative mean square charge radius (MSCR), the second moment of the radial charge density. In other words the neutron has a positive core and negative skin. In the first Born approximation the neutron MSCR can be simply related to the neutron–electron scattering length b ne . In the past this important quantity has been extracted from the energy dependence of the total transmission cross-section of neutrons on high-Z targets, a very difficult and complicated process. A few years ago S.A. Werner proposed a novel approach to measuring b ne from the neutron's dynamical phase shift in a perfect crystal close to the Bragg condition. We are conducting an experiment based on this method at the NIST neutron interferometer which may lead to a five-fold improvement in precision of b ne and hence the neutron MSCR.

title: Quark excitations of nuclei - A new frontier in nuclear research -
abstract: The investigation of nuclei in the energy domain of the elementary N*-resonances (i.e. for 200 MeV < Eexc < 2 GeV) opens up a new and important domain of nuclear research for essentially two reasons: (i) the quark structure of the nuclear constituent, the nucleon, leads to new nuclear phenomena; their investigation appears to be of fundamental importance for the understanding of complex hadronic systems; (ii) the nucleus can be used as a unique laboratory to test QCD in the nonasymptotic region where perturbative approaches fail. This is of particular interest, e.g. for the confinement problem. — Some specific aspects of subnuclear research are discussed in connection with the analysis of recent experiments and, in particular, in view of a possible strategy for a systematic investigation of nuclear quark excitations.

title: Baryon resonances as bound (q)3-states coupled to meson fields
abstract: Within the framework of the non-relativistic quark model (NRQM) we discuss the influence of the coupling between baryonic excitations and meson fields. This leads to the interpretation of the baryon resonances as bound (q)3-configurations embedded in the corresponding meson-baryon continua. This concept is formulated analytically and applied to the description of the low-lying (N=0)- and (N=1)-multiplets with strangeness (S=0) and (S=−1). It turns out that the effects of this coupling are comparable in size to the effects induced by the hyperfine interaction. In particular, a remarkable cancellation of the spin-orbit forces of theqq-interaction and the meson-baryon interaction is observed. The implications of the strong baryon-meson coupling on the baryon-baryon interaction and on the formulation of the Hamiltonian for a multibaryon system are briefly discussed.