Geometrical aspects of magnetic monopoles
The possible topological structures of elementary particles have been investigated to explore the possibility of the existence of magnetic monopoles. It is pointed out that when an elementary charged particle is depicted as an extended body such that the orientation of the internal space (“internal helicity”) defines the fermion number, the global conservation of this does not allow the existence of a magnetic monopole. Again it is argued that when anisotropy is introduced in the microlocal space-time depicting the internal space of hadrons, this gives rise to the internal symmetry algebra and no non-Abelian gauge fields and Higgs scalars are necessary to have a grand unified scheme of interactions. This avoids theSU2 and GUT monopoles. Besides, in this formalism, baryon number corresponds to the orientation or internal helicity of the composite system and the global conservation of this quantum number is found to be a consequence of Lorentz invariance. This forbids the existence of any sort of cosmological monopole in this Lorentz invariant Universe.

title: A LIE GROUP FRAMEWORK FOR COMPOSITE PARTICLES AND HARMONIC OSCILLATOR MASS SPECTRUM
abstract: A harmonic oscillator mass spectrum is developed through a relativistic covariant method in unifying the external and internal variables of a hadron leading to a dynamical Lie algebra. It is shown that through the introduction of an internal variable ξμ, which behaves as a 'direction vector', attached to each space-time point, χμ, and the spatial extension, Xi, of the composite system, we can uniquely determine a harmonic oscillator mass spectrum. This is valid even when the constituents are taken to be massless. Moreover, when these internal variables are associated with the internal symmetry, the mass splitting due to the internal symmetry breaking is incorporated in this formalism and no adhoc consideration is necessary. The mass spectrum of the neutral isovector and isoscalar mesons is computed in this framework.

title: AREA PRESERVING DIFFEOMORPHISM, QUANTUM GROUP AND BERRY PHASE
abstract: We study here the relationship between the area preserving diffeomorphism and quantum group with the deformation of symplectic structure and Berry phase in the Landau problem of 2D electron gas in a magnetic field. It is argued that while the area preserving diffeomorphism leads to the quantization of the symmetry , the deformation of the symplectic structure leads to the quantization of the system having the relation Δp. Δ q=2πnℏ, n being an odd integer giving rise to the Berry phase ei2πμ with n=2μ. A possible link between the deformation parameter q of the deformed algebra with the Berry phase factor arising out of the quantization procedure has been suggested. Finally, the latticization of space associated with the quantum group and its connection with the Zp spin system is discussed.

title: Quantum solitons in a linear chain
abstract: SummaryThe properties of quantum solitons in a linear chain are studied here when a soliton (massive thirring fermion) is quantized stochastically. It is shown that quantum solitons interact with a potential of the form exp [—2mR], whereR is the interdistance of the solitons.

title: Spin system, gauge theory, and renormalization group equation
abstract: The gauge theoretical formulation of a spin system is studied here. It is pointed out that a quantum spin can be associated with a gauge bundle where the gauge group is SU(2). The Ising spin is obtained by breaking the group to U(1) coupled with a Z2 symmetry giving rise to a Z2 gauge theory in three dimension. The gauge structure of a spin system helps us to reformulate the block‐variable transformation in terms of a gauge transformation.

title: Lepton-hadron relation and a new KNO-type of scaling
abstract: SummaryA new model of hadrons has here been applied to study the property of topological cross-sectionsvis à vis the conventional KNO scaling. The model suggests a new form of scaling involving the variablesn, Pn and  in terms ofz=n/ which is well supported by the existing experimental data.RiassuntoSi è applicato in questo lavoro un nuovo modello di adroni per studiare la proprietà di sezioni d’urto topologiche,vis à vis la variazione di scala convenzionale KNO. Il modello suggerisce una nuova forma di variazione di scala, comprendente le variabilin, Pn e  in termini diz=n/, che è ben convalidata dai dati sperimentali esistenti.

title: Clan structure and intermittency in proton-nucleus interactions at high energy
abstract: In this paper we examine the similarity between clan structure and self-similar cascading in high energy proton-nucleus interactions at 70 GeV/c in emulsion. The investigation shows that the negative bionomial fitting parameterk can be used for the evaluation of factorial moments in intermittency studies and that these exhibit similar behaviour with those derived from nonstatistical procedure. The results of our study signify compatibility between clan cascading and self-similar cascading in soft hadroization processes.

title: Signature of void probability scaling in high energy hadronic interactions
abstract: The rapidity gap probability in the p-AgBr interactions at 2.00 GeV/c and π-AgBr interactions at 200 and 350 GeV/c have been studied in detail. The data indicate scaling behaviour of the void probability in the central rapidity domain, which hints the validity of the linked-pair approximation for the N-particle cumulant correlation function.

title: Search for Higgs bosons of the universal extra dimensions at the large Hadron collider
abstract: The Higgs sector of the Universal Extra Dimensions (UED) has a rather involved setup. With one extra space dimension, the main ingredients to the construct are the higher Kaluza-Klein (KK) excitations of the Standard Model Higgs boson and the fifth components of the gauge fields which on compactification appear as scalar degrees of freedom and can mix with the former thus leading to physical KK-Higgs states of the scenario. In this work, we explore in detail the phenomenology of such a Higgs sector of the UED with the Large Hadron Collider (LHC) in focus. We work out relevant decay branching fractions involving the KK-Higgs excitations. Possible production modes of the KK-Higgs bosons are then discussed with an emphasis on their associated production with the third generation KK-quarks and that under the cascade decays of strongly interacting UED excitations which turn out to be the only phenomenologically significant modes. It is pointed out that the collider searches of such Higgs bosons face generic hardship due to soft end-products which result from severe degeneracies in the masses of the involved excitations in the minimal version of the UED (MUED). Generic implications of either observing some or all of the KK-Higgs bosons at the LHC are discussed.

title: Probing Higgs bosons via the type III seesaw mechanism at the LHC
abstract: We show that the type III seesaw mechanism opens up a promising possibility of searching the Higgs boson in the $b \bar b$ channel through the Higgs production associated with a charged lepton coming from the decay of the triplet seesaw particle. In particular we look for the $2b$ signals with trileptons or same-sign dileptons to construct the Higgs and the triplet fermion mass and calculate the reach with the integrated luminosity of 10 fb$^{-1}$ at the 14 TeV LHC.

title: Displaced Higgs production in type III seesaw
abstract: We point out that the type III seesaw mechanism introducing fermion triplets predicts peculiar Higgs boson signatures of displaced vertices with two b jets and one or two charged particles which can be cleanly identified. In a supersymmetric theory, the scalar partner of the fermion triplet contains a neutral dark matter candidate which is almost degenerate with its charged components. A Higgs boson can be produced together with such a dark matter triplet in the cascade decay chain of a strongly produced squark or gluino. When the next lightest supersymmetric particle (NLSP) is bino/wino-like, there appears a Higgs boson associated with two charged tracks of a charged lepton and a heavy charged scalar at a displacement larger than about 1 mm. The corresponding production cross-section is about 0.5 fb for the squark/gluino mass of 1 TeV. In the case of the stau NLSP, it decays mainly to a Higgs boson and a heavy charged scalar whose decay length is larger than 0.1 mm for the stau NLSP mixing with the left-handed stau smaller than 0.3. As this process can have a large cascade production ∼2 pb for the squark/gluino mass ∼1 TeV, one may be able to probe it at the early stage of the LHC experiment.