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We propose a mechanism displaying gluon confinement, as defined by the behavior of the propagators, in a model of SU(2) gauge fields. The model originates from an explicitly broken SU(3) gauge theory giving rise to a replica model composed…

High Energy Physics - Theory · Physics 2013-12-12 M. M. Amaral , M. A. L. Capri , Y. E. Chifarelli , V. E. R. Lemes

The axial anomaly arising from the fermion sector of $\U(N)$ or $\SU(N)$ reduced model is studied under a certain restriction of gauge field configurations (the ``$\U(1)$ embedding'' with $N=L^d$). We use the overlap-Dirac operator and…

High Energy Physics - Lattice · Physics 2009-11-10 Teruaki Inagaki , Yoshio Kikukawa , Hiroshi Suzuki

We review recent developments in our understanding of the dynamics of strongly-coupled chiral $SU(N)$ gauge theories in four dimensions, problems which are potentially important in our quest to go beyond the standard $SU(3)_{QCD} \times…

High Energy Physics - Theory · Physics 2024-03-26 Kenichi Konishi , Stefano Bolognesi , Andrea Luzio

If the space of minima of the effective potential of a weakly coupled 2d quantum field theory is not connected, then a mass gap will be nonpertubatively generated. As examples, we consider two sigma models compactified on a small circle…

High Energy Physics - Theory · Physics 2018-10-24 Jarah Evslin , Baiyang Zhang

Sp($2N$) gauge theories with fermonic matter provide an ideal laboratory to build extensions of the standard model based on novel composite dynamics. Examples include composite Higgs along with top partial compositeness and composite dark…

High Energy Physics - Lattice · Physics 2023-01-11 Jong-Wan Lee , Ed Bennett , Deog Ki Hong , Ho Hsiao , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

We propose a gauge-invariant description for the Higgs mechanism by which a gauge boson acquires the mass. We do not need to assume spontaneous breakdown of gauge symmetry signaled by a non-vanishing vacuum expectation value of the scalar…

High Energy Physics - Theory · Physics 2017-04-05 Kei-Ichi Kondo

We study whether broken dual gauge symmetry, as detected by a monopole order parameter introduced by the Pisa group, is necessarily associated with the confinement phase of a lattice gauge theory. We find a number of examples, including…

High Energy Physics - Lattice · Physics 2010-05-12 J. Greensite , B. Lucini

An effective monopole action is derived from vacuum configurations after abelian projection in the maximally abelian gauge in $SU(2)$ QCD. Entropy dominance over energy of monopole loops is seen on the renormalized lattice with the spacing…

High Energy Physics - Lattice · Physics 2009-10-22 Hiroshi Shiba , Tsuneo Suzuki

The question of whether confining effects are visible in correlation functions is a long-standing one. Complementing investigations on the propagators of fundamental and adjoint scalar matter particles here the quenched scalar-gluon vertex…

High Energy Physics - Lattice · Physics 2019-06-18 Axel Maas

With the advent of quantum simulators, exploring exotic collective phenomena in lattice models with local symmetries and unconventional geometries is at reach of near-term experiments. Motivated by recent progress in this direction, we…

Strongly Correlated Electrons · Physics 2026-03-05 Enrico C. Domanti , Alejandro Bermudez

By looking at cooled configurations on the lattice, we study the presence of peaks in the action density, or its electric and magnetic components, in the SU(2) gauge vacuum. The peaks are seen to be of instanton-like nature and their number…

High Energy Physics - Lattice · Physics 2008-11-26 A. Gonzalez Arroyo , P. Martinez , A. Montero

We consider a gauge symmetry extension of the standard model given by $SU(3)_C\otimes SU(2)_L\otimes U(1)_X\otimes U(1)_N\otimes Z_2$ with minimal particle content, where $X$ and $N$ are family dependent but determining the hypercharge as…

High Energy Physics - Phenomenology · Physics 2023-11-15 Duong Van Loi , Cao H. Nam , Phung Van Dong

SU(2) gauge theory in the nonlinear gauge of the Curci-Ferrari type is studied in low-energy region. We give a classical solution that connects color electric charges. Its dual solution, which has a configuration of monopole, is also…

High Energy Physics - Theory · Physics 2019-12-06 Hirohumi Sawayanagi

I review some aspects of BPS magnetic monopoles and of electric-magnetic duality in theories with arbitrary gauge groups. When the symmetry is maximally broken to a U(1)^r subgroup, all magnetically charged configurations can be understood…

High Energy Physics - Theory · Physics 2007-05-23 Erick J. Weinberg

In (2+1)-dimensional QED with a Chern-Simons term, we show that spontaneous magnetization occurs in the context of finite density vacua, which are the lowest Landau levels fully or half occupied by fermions. Charge condensation is shown to…

High Energy Physics - Theory · Physics 2011-06-16 Taichi Itoh , Hiroshi Kato

We examine the possibility of fermion mass generation in 2+1- dimensional gauge theory from the current algebra point of view.In our approach the critical behavior is governed by the fluctuations of pions which are the Goldstone bosons for…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. C. Diamantini G. W. Semenoff P. Sodano

We present a supersymmetric model of fermion masses with SU(4)*SU(2)^2*U(1)_X gauge group with matter in fundamental and antisymmetric tensor representations only. The up, down, charged lepton and neutrino Yukawa matrices are distinguished…

High Energy Physics - Phenomenology · Physics 2009-11-10 Thomas Dent , George Leontaris , John Rizos

We explore 4-dimensional SU(N) gauge theory with a Weyl fermion in an irreducible self-conjugate representation. This theory, in general, has a discrete chiral symmetry. We use 't Hooft anomaly matching condition of the center symmetry and…

High Energy Physics - Theory · Physics 2019-01-30 Satoshi Yamaguchi

A realistic extension of the minimal $SU(5)$ theory consisting of the addition of an adjoint fermion is known to predict light real fermion and scalar weak triplets, potentially accessible at the LHC. These particles, in addition to playing…

High Energy Physics - Phenomenology · Physics 2023-01-11 Goran Senjanović , Michael Zantedeschi

We present results on the masses of the low-lying baryons using ten ensembles of gauge configurations with $N_f =2+1+1$ dynamical twisted mass fermions, at three values of the lattice spacing, spanning a pion mass range from about 210 MeV…

High Energy Physics - Lattice · Physics 2014-12-03 C. Alexandrou , V. Drach , K. Hadjiyiannakou , K. Jansen , C. Kallidonis , G. Koutsou