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We study 4-dimensional SU(N) gauge theory with one adjoint Weyl fermion and fundamental matter - either bosonic or fermionic. Symmetries, their 't Hooft anomalies, and the Vafa-Witten-Weingarten theorems strongly constrain the possible bulk…

High Energy Physics - Theory · Physics 2023-11-22 Mohamed M. Anber , Nakarin Lohitsiri , Tin Sulejmanpasic

We study quark confinement in a system of two parallel domain walls interpolating different color dielectric media. We use the phenomenological approach in which the confinement of quarks appears considering the QCD vacuum as a color…

High Energy Physics - Theory · Physics 2009-11-07 D. Bazeia , F. A. Brito , W. Freire , R. F. Ribeiro

We study the spectrum of 1+1 dimensional large $N$ QCD coupled to an adjoint Majorana fermion of mass $m$. As $m\to 0$ this model makes a transition from confinement to screening. We argue that in this limit the spectrum becomes continuous…

High Energy Physics - Theory · Physics 2016-08-25 David J. Gross , Akikazu Hashimoto , Igor R. Klebanov

We study a model of fermions on the square lattice at half-filling coupled to an Ising gauge theory, that was recently shown in Monte Carlo simulations to exhibit $\mathbb{Z}_2$ topological order and massless Dirac fermion excitations. On…

Strongly Correlated Electrons · Physics 2018-07-27 Snir Gazit , Fakher F. Assaad , Subir Sachdev , Ashvin Vishwanath , Chong Wang

A phenomenological model for the quark structure of mesons is considered. The model is based on the tube model for QCD, where all quanta with nonzero transverse momenta are neglected. In the limit that the mass term of the gluons goes to…

High Energy Physics - Phenomenology · Physics 2009-10-30 Matthias Burkardt

A composite non-abelian model $SU(N) \times SU(N)$ is proposed as possible extension of the Yang-Mills symmetry. We obtain the corresponding gauge symmetry of the model and the most general lagrangian invariant by $SU(N) \times SU(N)$. The…

High Energy Physics - Theory · Physics 2016-12-23 M. J. Neves , R. Doria

An overarching scientific challenge for the coming decade is to discover the meaning of confinement, its relationship to dynamical chiral symmetry breaking (DCSB) - the origin of visible mass - and the connection between them. In…

Nuclear Theory · Physics 2016-06-22 Craig D. Roberts

We study supersymmetric $SO(N_c)$ gauge theories with $N_f$ flavors of quarks in the vector representation. Among the phenomena we find are dynamically generated superpotentials with physically inequivalent branches, smooth moduli spaces of…

High Energy Physics - Theory · Physics 2009-09-15 K. Intriligator , N. Seiberg

In this paper we consider confinement and screening of the electric field. We study the behavior of a static electric field coupled to a dielectric function with the intent of obtaining an electrical confinement similar to what happens with…

High Energy Physics - Theory · Physics 2015-06-23 F. A. Brito , M. L. F. Freire , W. Serafim

Dependence of the confinement transition parameters on the fermion content provides information on the mechanism of confinement. Recent progress in lattice gauge theories has allowed to study it for light flavor number $N_f\sim O(10)$ and…

High Energy Physics - Phenomenology · Physics 2015-06-05 Jinfeng Liao , Edward Shuryak

The quark-antiquark potential and the chromoelectric fields generated by ``quarks'' in the adjoint representation of SU(2) color are analyzed in the scaling region of the theory. New results with interesting implications for our…

High Energy Physics - Lattice · Physics 2009-10-28 Howard D. Trottier

We consider a SU(2) lattice gauge theory on the square lattice, with a single fundamental complex fermion and a single fundamental complex boson on each lattice site. Projective symmetries of the gauge-charged fermions are chosen so that…

Strongly Correlated Electrons · Physics 2024-07-03 Maine Christos , Henry Shackleton , Subir Sachdev , Zhu-Xi Luo

We study $SU(N_c)$ gauge theories with Dirac fermions in representations ${\cal{R}}$ of nonzero $N$-ality, coupled to axions. These theories have an exact discrete chiral symmetry, which has a mixed 't Hooft anomaly with general…

High Energy Physics - Theory · Physics 2020-04-22 Mohamed M. Anber , Erich Poppitz

We consider N=2 supersymmetric QCD with the gauge group SU(N_c)=SU(N+1) and N_f number of quark matter multiplets, being perturbed by a small mass term for the adjoint matter, so that its Coulomb branch shrinks to a number of isolated…

High Energy Physics - Theory · Physics 2010-03-18 A. Marshakov , A. Yung

The mechanism of non-Abelian color confinement is studied in SU(2) lattice gauge theory in terms of the Abelian fields and monopoles extracted from non-Abelian link variables without adopting gauge fixing. Firstly, the static…

High Energy Physics - Lattice · Physics 2014-11-20 T. Suzuki , M. Hasegawa , K. Ishiguro , Y. Koma , T. Sekido

The dual Meissner effect is the promising mechanism for quark confinement. We have proposed a new formulation of SU(N) Yang-Mills (YM) theory on a lattice, which can extract the dominant mode for quark confinement in the gauge independent…

High Energy Physics - Lattice · Physics 2012-04-26 Akihiro Shibata , Kei-Ichi Kondo , Toru Shinohara

We study by non perturbative techniques a vector, axial--vector theory characterized by a parameter which interpolates between pure vector and chiral Schwinger models. Main results are two windows in the space of parameters which exhibit…

High Energy Physics - Theory · Physics 2009-10-22 A. Bassetto , L. Griguolo , P. Zanca

We have carried out a Schrodinger-functional calculation for the Abelian gauge theory with Nf=2 four-component fermions in three dimensions. We find no fixed point in the beta function, meaning that the theory is confining rather than…

High Energy Physics - Lattice · Physics 2014-10-02 Benjamin Svetitsky , Ohad Raviv , Yigal Shamir

The strong interaction between quarks inside hadrons in curved spacetime is investigated in the presence of a new non-abelian gauge potential based on the $SU(3)$ group. This potential presented both chromo-electric and chromo-magnetic…

High Energy Physics - Phenomenology · Physics 2025-08-08 Abdellah Touati , Soufiane Boukhalfa

We show that abelian bosonization of 1+1 dimensional fermion systems can be interpreted as duality transformation and, as a conseguence, it can be generalized to arbitrary dimensions in terms of gauge forms of rank $d-1$, where $d$ is the…

High Energy Physics - Theory · Physics 2007-05-23 P. A. Marchetti