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In this work we consider the $SU(N)$ gauge theory with two Dirac fermions in the adjoint representation, in the limit of large $N$. In this limit the infinite-volume physics of this model can be studied by means of the corresponding twisted…

High Energy Physics - Lattice · Physics 2016-08-08 Margarita García Pérez , Antonio González-Arroyo , Liam Keegan , Masanori Okawa

We point out that the dynamical fermion mass generation in the 3D compact U(1) lattice gauge theory with charged fermion and scalar fields (chi-U-phi_3 model) may be of relevance for the spinon-holon theory with local gauge symmetry in the…

High Energy Physics - Lattice · Physics 2009-10-31 Jiri Jersak

We introduce a duality between two-dimensional XY-spin models with symmetry-breaking perturbations and certain four-dimensional SU(2)and SU(2)/Z_2 gauge theories, compactified on a small spatial circle R^(1,2) x S^1, and considered at…

High Energy Physics - Theory · Physics 2012-04-17 Mohamed M. Anber , Erich Poppitz , Mithat Unsal

We consider magnetic catalysis in a field-theoretic system of (3+1)-dimensional Dirac fermions with anisotropic kinetic term. By placing the system in a strong external magnetic field, we examine magnetically-induced fermion mass…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Alexandre , K. Farakos , G. Koutsoumbas , N. E. Mavromatos

There has been substantial progress in understanding confinement in a class of four-dimensional SU(N) gauge theories using semiclassical methods. These models have one or more compact directions, and much of the analysis is based on the…

High Energy Physics - Theory · Physics 2014-10-08 Michael C. Ogilvie

We study a model of four reduced staggered fields transforming in the bifundamental representation of a $SU(2)\times SU(2)$ symmetry group where just one of the SU(2) factors is gauged. This field content and symmetries are similar to a…

High Energy Physics - Lattice · Physics 2018-11-05 Nouman Butt , Simon Catterall

We review the recent results in the physics of the magnetic monopoles in gluodynamics and a dual formulation of non-Abelian theories, relevant to the physics of the confinement. It occurs that the dual gluon is a U(1) gauge boson, despite…

High Energy Physics - Lattice · Physics 2017-08-23 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov , V. I. Zakharov

The spectra of two-dimensional $su(2)$ gauge theories coupled to a single massless Majorana fermion in integer representations, $J$, are numerically investigated using the Discrete Light-Cone Hamiltonian. One of our aims is to explore the…

High Energy Physics - Theory · Physics 2023-10-11 Rajamani Narayanan , Sruthi A. Narayanan

Because of the problems arising from the fermion unification in the traditional Grand Unified Theory and the mass hierarchy between the 4-dimensional Planck scale and weak scale, we suggest the low energy gauge unification theory with low…

High Energy Physics - Theory · Physics 2009-11-07 Tianjun Li , Wei Liao

We study in detail the issue of gauge-fixing in theories with one universal extra dimension, i.e. theories where both bosons and fermions display Kaluza-Klein (KK) excitations. The extra dimension is compactified using the standard orbifold…

High Energy Physics - Phenomenology · Physics 2009-11-07 Joannis Papavassiliou , Arcadi Santamaria

It is known that the model based on U(1)$_{L_\mu-L_\tau}$ gauge symmetry can explain not only the discrepancy between the measured value of muon $g-2$ and the theoretical prediction, but also the structure of the neutrino mass and mixings.…

High Energy Physics - Phenomenology · Physics 2024-12-10 Kento Asai , Coh Miyao , Shohei Okawa , Koji Tsumura

We study dynamical gauge symmetry breaking via compactified space in the framework of SU(N) gauge theory in M^{d-1}\times S^1 (d=4,5,6) space-time. In particular, we study in detail the gauge symmetry breaking in SU(2) and SU(3) gauge…

High Energy Physics - Theory · Physics 2008-11-26 Hisaki Hatanaka

Earlier, two of us and M. Unsal [arXiv:1112.6389] showed that some 4d gauge theories, compactified on a small spatial circle of size L and considered at temperatures 1/beta near deconfinement, are dual to 2d "affine" XY-spin models. We use…

High Energy Physics - Theory · Physics 2015-06-12 Mohamed M. Anber , Scott Collier , Erich Poppitz

We study discrete fluxes in four dimensional SU(N) gauge theories with a mass gap by using brane compactifications which give ${\cal{N}} = 1$ or ${\cal{N}} = 0$ supersymmetry. We show that when such theories are compactified further on a…

High Energy Physics - Theory · Physics 2010-11-19 Z. Guralnik

Gauge theories in 2+1 dimensions whose gauge symmetry is spontaneously broken to a finite group enjoy a quantum group symmetry which includes the residual gauge symmetry. This symmetry provides a framework in which fundamental excitations…

High Energy Physics - Theory · Physics 2009-11-07 F. A. Bais , B. J. Schroers , J. K. Slingerland

In this work we investigate the presence of magnetic monopoles that engender multimagnetic structures, which arise from an appropriate extension of the $\rm{SU(2)}$ gauge group. The investigation is based on a modified relativistic theory…

High Energy Physics - Theory · Physics 2021-08-04 D. Bazeia , M. A. Liao , M. A. Marques

We study some of the local CP-odd and magnetic properties of the non-Abelian vacuum with use of overlap fermions within the quenched lattice gauge theory. Among these properties are the following: inhomogeneous spatial distribution of the…

High Energy Physics - Lattice · Physics 2013-03-01 V. V. Braguta , P. V. Buividovich , T. Kalaydzhyan , M. I. Polikarpov

A numerical study of low-lying glueball masses of compact U(1) lattice gauge theory in (2+1) dimensions is performed using Standard Path integral Monte Carlo techniques. The masses are extracted, at fixed (low) temperature, from simulations…

High Energy Physics - Lattice · Physics 2007-05-23 Mushtaq Loan , Michael Brunner , Chris Hamer

We build a gauge model based on the SU(3)_c x SU(4)_L x U(1)_X symmetry where the scalar spectrum needed to generate gauge boson and fermion masses has a smaller scalar content than usually assumed in literature. We compute the running of…

High Energy Physics - Phenomenology · Physics 2014-08-13 A. G. Dias , P. R. D. Pinheiro , C. A. de S. Pires , P. S. Rodrigues da Silva

We study the phase diagram of the SU(2) lattice gauge theory with fundamental-adjoint Wilson plaquette action. We confirm the presence of a first order bulk phase transition and we estimate the location of its end-point in the bare…

High Energy Physics - Lattice · Physics 2013-02-21 Enrico Rinaldi , Giuseppe Lacagnina , Biagio Lucini , Agostino Patella , Antonio Rago