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A study of two-dimensional QCD on a spatial circle with Majorana fermions in the adjoint representation of the gauge groups SU(2) and SU(3) has been performed. The main emphasis is put on the symmetry properties related to the homotopically…

High Energy Physics - Theory · Physics 2009-10-28 F. Lenz , M. Shifman , M. Thies

An extension of the Standard Model to the local gauge group $SU(3)_c\otimes SU(4)_L\otimes U(1)_X$ as a three-family model is presented. The model does not contain exotic electric charges and we obtain a consistent mass spectrum by…

High Energy Physics - Phenomenology · Physics 2011-03-23 Luis A. Sanchez , Felipe A. Perez , William A. Ponce

The vacuum dynamics of SU(2) lattice gauge theory is studied by means of a gauge-invariant effective action, both at zero and finite temperature. Working with lattices up to 32^4 we check the scaling of the energy density with the magnetic…

High Energy Physics - Lattice · Physics 2009-10-31 Paolo Cea , Leonardo Cosmai

We examine the mechanical matrix model that can be derived from the SU(2) Yang-Mills light-cone field theory by restricting the gauge fields to depend on the light-cone time alone. We use Dirac's generalized Hamiltonian approach. In…

High Energy Physics - Theory · Physics 2007-05-23 V. P. Gerdt , A. M. Khvedelidze , D. M. Mladenov

We plan to translate the successful description of three-dimensional gravity as a gauge theory in the noncommutative framework, making use of the covariant coordinates. We consider two specific three-dimensional fuzzy spaces based on SU(2)…

General Relativity and Quantum Cosmology · Physics 2018-09-12 D. Jurman , G. Manolakos , P. Manousselis , G. Zoupanos

Recent lattice results on Dirac low-mode removed $J=1,2$ mesons and $J=\frac{1}{2}$ baryons reveal the appearance of a new $SU(4)$ symmetry of confinement. Here the degeneracy of all $J=2$ iso-vector states within an irreducible…

High Energy Physics - Lattice · Physics 2015-11-02 M. Denissenya , L. Glozman , M. Pak

We test in a simplified 5-dimensional model with SU(3) gauge symmetry, the evolution equations of the gauge couplings of a model containing bulk fields, gauge fields and one pair of fermions. In this model we assume that the fermion doublet…

High Energy Physics - Theory · Physics 2017-04-05 Mohammed Omer Khojali , A. S. Cornell , Aldo Deandrea

We analyze the vacuum structure of an eight-dimensional non-abelian gauge theory with a compactified four-dimensional torus as the extra dimensions. As a non-trivial background configuration of the gauge field of an $SU(n)$ gauge group, we…

High Energy Physics - Phenomenology · Physics 2024-07-22 Kentaro Kojima , Yuri Okubo , Carolina Sayuri Takeda

We build a supersymmetric version of a recently proposed SU(3)xSU(3)xU(1)X model with heavy charged lepton and no bilepton gauge bosons.The model is an anomaly free, three generation extension of the Standard model with SU(3)L x U(1)gauge…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sutapa Sen , Aparna Dixit

We propose the tube model as a first step in solving the bound state problem in light-front QCD. In this approach we neglect transverse variations of the fields, producing a model with 1+1 dimensional dynamics. We then solve the two, three,…

High Energy Physics - Theory · Physics 2016-08-24 Brett van de Sande , Matthias Burkardt

The 1+1 dimensional bosonised Schwinger model with a generalized gauge invariant regularisation has been studied in a noncommutative scenario to investigate the fate of the transition from confinement to deconfinement observed in the…

High Energy Physics - Theory · Physics 2008-12-25 Anirban Saha , Pradip Mukherjee , Anisur Rahaman

We study a few two-dimensional models with massive and massless fermions in the hamiltonian framework and in both conventional and light-front forms of field theory. The new ingredient is a modification of the canonical procedure by taking…

High Energy Physics - Theory · Physics 2011-11-30 Lubomir Martinovic

We describe a non-perturbative procedure for solving from first principles the light-front Hamiltonian problem of SU(N) pure gauge theory in D spacetime dimensions (D>2), based on enforcing Lorentz covariance of observables. A transverse…

High Energy Physics - Theory · Physics 2016-08-25 S. Dalley , B. van de Sande

We couple fermion fields in the adjoint representation (gluinos) to the SU(2) gauge field of unit charge calorons defined on R^3 x S_1. We compute corresponding zero-modes of the Dirac equation. These are relevant in semiclassical studies…

High Energy Physics - Theory · Physics 2009-11-11 Margarita Garcia Perez , Antonio Gonzalez-Arroyo

We study the SO(3)-invariant relevant deformations of N=4 SU(N) gauge theory using the methods of Polchinski and Strassler. We present the region of parameter space where the non-supersymmetric vacuum is still described by stable…

High Energy Physics - Theory · Physics 2009-10-31 Frederic Zamora

We study a three dimensional non-commutative space emerging in the context of three dimensional Euclidean quantum gravity. Our starting point is the assumption that the isometry group is deformed to the Drinfeld double D(SU(2)). We…

High Energy Physics - Theory · Physics 2009-06-12 E. Joung , J. Mourad , K. Noui

We investigate and contrast the non-perturbative infra red structure of N=1 and N=2 supersymmetric non-compact U(1) gauge field theory in three space-time dimensions with N matter flavours. We study the Dyson-Schwinger equations in a…

High Energy Physics - Theory · Physics 2016-08-25 A. Campbell-Smith , N. E. Mavromatos

We introduce a model of SU(2) and U(1) vector fields with a local U(2) symmetry. Its action can be obtained in the London limit of a gauge invariant regularization involving two scalar fields. Evidence from lattice simulations of the model…

High Energy Physics - Lattice · Physics 2010-12-28 Bernd A. Berg

We study the light-front covariance of a vector-meson decay constant using a manifestly covariant fermion field theory model in $(3+1)$ dimensions. The light-front zero-mode issues are analyzed in terms of polarization vectors and method of…

High Energy Physics - Phenomenology · Physics 2013-08-22 Ho-Meoyng Choi , Chueng-Ryong Ji

A reformulation of the Thirring model as a gauge theory on both continuum spacetime and discretized lattice is reviewed. In (1+1) dimensions, our result reproduces consistently the bosonization of the massless Thirring model. In (2+1)…

High Energy Physics - Theory · Physics 2007-05-23 Yoonbai Kim