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We consider the most general fractional background fluxes in the color, flavor, and baryon number directions, compatible with the faithful action of the global symmetry of a given theory. We call the obstruction to gauging symmetries…

高能物理 - 理论 · 物理学 2020-01-08 Mohamed M. Anber , Erich Poppitz

We present exact results in softly-broken supersymmetric $\text{SU}(N_C)$ chiral gauge theories with charged fermions in one antisymmetric, $N_F$ fundamental, and $N_C+N_F-4$ anti-fundamental representations. We achieve this by considering…

高能物理 - 理论 · 物理学 2025-05-08 Jacob M. Leedom , Hitoshi Murayama , Gup Singh , Bethany Suter , Jason Wong

The thesis is devoted to the problem of colour confinement in the non-Abelian Yang-Mills theory (gluon part of Quantum Chromodynamics). A generalisation of the 3-dimensional Fock-Schwinger gauge is proposed where the Gauss law constraint is…

统计力学 · 物理学 2024-05-24 E. G. Timoshenko

We present new results on chiral symmetry breaking in nearly conformal gauge theories with fermions in the fundamental representation of the SU(3) color gauge group. The number of fermion flavors is varied in an extended range below the…

高能物理 - 格点 · 物理学 2010-11-05 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

We give another derivation of quark confinement in QCD from the viewpoint of the low-energy effective Abelian gauge theory of QCD obtained via Abelian projection. It is based on the recently discovered Berezinskii-Kosterlitz-Thouless phase…

高能物理 - 理论 · 物理学 2009-10-31 Kei-Ichi Kondo

We explore the idea that in some class of strongly-coupled chiral $SU(N)$ gauge theories the infrared dynamics might be characterized by a bifermion condensate in the adjoint representation of the color gauge group. As an illustration, in…

高能物理 - 理论 · 物理学 2023-01-04 Stefano Bolognesi , Kenichi Konishi , Andrea Luzio

We analyze the finite temperature behavior of the Sakai-Sugimoto model, which is a holographic dual of a theory which spontaneously breaks a U(N_f)_L x U(N_f)_R chiral flavor symmetry at zero temperature. The theory involved is a 4+1…

高能物理 - 理论 · 物理学 2009-09-29 Ofer Aharony , Jacob Sonnenschein , Shimon Yankielowicz

We propose a regularization of four dimensional chiral gauge theories using six-dimensional Dirac fermions. In our formulation, we consider two different mass terms having domain-wall profiles in the fifth and the sixth directions,…

高能物理 - 理论 · 物理学 2019-12-06 Hidenori Fukaya , Tetsuya Onogi , Shota Yamamoto , Ryo Yamamura

We present a simple argument which seems to favor, when applied to a large class of strongly-coupled chiral gauge theories, a dynamical-Higgs-phase scenario, characterized by certain bifermion condensates. Flavor symmetric confining vacua…

高能物理 - 理论 · 物理学 2021-09-01 Stefano Bolognesi , Kenichi Konishi , Andrea Luzio

In a spontaneously dimerized quantum antiferromagnet, spin-1/2 excitations (spinons) are confined in pairs by strings akin to those confining quarks in non-abelian gauge theories. The system has multiple degenerate ground states (vacua) and…

高能物理 - 理论 · 物理学 2017-10-11 Tin Sulejmanpasic , Hui Shao , Anders W. Sandvik , Mithat Unsal

In ordinary QCD with light, degenerate, fundamental flavors, $CP$ symmetry is spontaneously broken at $\theta=\pi$, and domain wall solutions connecting the vacua can be constructed in chiral perturbation theory. In some cases the breaking…

高能物理 - 理论 · 物理学 2018-04-11 Patrick Draper

Spontaneous breaking of discrete symmetries play non-trivial role in many well-motivated particle physics models. However, it leads to a network of cosmologically unwanted domain walls (DWs) which can be made unstable by introducing a bias…

高能物理 - 唯象学 · 物理学 2026-04-06 Dipendu Bhandari , Debasish Borah , Indrajit Saha

We undertake a systematic study of the $4$-dimensional $SU(N)$ $2$-index chiral gauge theories and investigate their faithful global symmetries and dynamics. These are a finite set of theories with fermions in the $2$-index symmetric and…

高能物理 - 理论 · 物理学 2024-01-10 Mohamed M. Anber , Samson Y. L. Chan

In SU($N$) gauge theories with fermions in the fundamental or in a two-index (either symmetric or antisymmetric) representation formulated on a manifold with at least one compact dimension with non-trivial holonomy the discrete symmetries…

高能物理 - 理论 · 物理学 2009-07-09 Biagio Lucini , Agostino Patella

We carry out a systematic study of $SU(6)$ Yang-Mills theory endowed with fermions in the adjoint and $3$-index antisymmetric mixed-representation. The fermion bilinear in the $3$-index antisymmetric representation vanishes identically,…

高能物理 - 理论 · 物理学 2020-01-08 Mohamed M. Anber

We present a study of spectroscopy of SU(4) lattice gauge theory coupled to two flavors of Dirac fermions in the anti-symmetric two index representation. The fermion representation is real, and the pattern of chiral symmetry breaking is…

高能物理 - 格点 · 物理学 2016-11-22 Thomas DeGrand , Yuzhi Liu , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky

Noncommutative U(N) gauge theories at different N may be often thought of as different sectors of a single theory: the U(1) theory possesses a sequence of vacua labeled by an integer parameter N, and the theory in the vicinity of the N-th…

高能物理 - 理论 · 物理学 2009-11-10 S. L. Dubovsky , S. M. Sibiryakov

The symmetry breaking pattern of QCD features two seemingly disconnected phenomena: the spontaneous breakdown of the Z(3) center symmetry in the deconfinement transition of pure-gauge QCD, and the spontaneous breaking of chiral…

高能物理 - 唯象学 · 物理学 2014-11-20 Wolfram Weise

A qualitative mechanism for the emergence of domain structured background gluon fields due to singularities in gauge field configurations is considered, and a model displaying a type of mean field approximation to the QCD partition function…

高能物理 - 唯象学 · 物理学 2009-11-07 Alex C. Kalloniatis , Sergei N. Nedelko

We propose an electric-magnetic duality and conjecture an exact conformal window for a class of non-supersymmetric U(N_c) gauge theories with fermions in the (anti)symmetric representation of the gauge group and N_f additional scalar and…

高能物理 - 理论 · 物理学 2008-11-26 Adi Armoni , Dan Israel , Gregory Moraitis , Vasilis Niarchos