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We construct a model in which the hierarchies of the quark and lepton masses and mixing are explained by the $\Gamma_6^\prime$ modular flavor symmetry. The hierarchies are realized by the Froggatt-Nielsen-like mechanism due to the residual…

高能物理 - 唯象学 · 物理学 2023-07-06 Yoshihiko Abe , Tetsutaro Higaki , Junichiro Kawamura , Tatsuo Kobayashi

Based on the self-consistent scheme beyond mean-field approximation in the large $N_c$ expansion, including current quark mass explicitly, a general scheme of SU(2) NJL model is developed. To ensure the quark self-energy expanded in the…

高能物理 - 唯象学 · 物理学 2018-01-17 Mei Huang , Pengfei Zhuang , Weiqin Chao

We study properties of asymptotically free vectorial gauge theories with gauge groups $G={\rm SO}(N_c)$ and $G={\rm Sp}(N_c)$ and $N_f$ fermions in a representation $R$ of $G$, at an infrared (IR) zero of the beta function, $\alpha_{IR}$,…

高能物理 - 理论 · 物理学 2017-11-29 Thomas A. Ryttov , Robert Shrock

In the context of the free-fermionic formulation of the heterotic superstring, we construct a three generation N=1 supersymmetric SU(4)xSU(2)LxSU(2)R model supplemented by an SU(8) hidden gauge symmetry and five Abelian factors. The…

高能物理 - 理论 · 物理学 2008-11-26 G. K. Leontaris , J. Rizos

Numerical data of the SU(3) gauge theory with $N_f=8$ fermions in the fundamental representation suggest the existence of a large-mass regime, where the fermion mass is not small relative to the confinement scale, but nevertheless the…

高能物理 - 唯象学 · 物理学 2018-10-03 Maarten Golterman , Yigal Shamir

We study chiral symmetry breaking in QCD-like gauge theories introducing a confining effective propagator, as proposed recently by Cornwall, and considering the effect of dynamical gauge boson mass generation. The effective confining…

高能物理 - 唯象学 · 物理学 2015-05-28 A. Doff , F. A. Machado , A. A. Natale

We report on Monte Carlo simulations focused on elucidating the phase structure of a SU(2) gauge theory containing $N_f$ Dirac fermion flavors transforming in the fundamental representation of the group and interacting through an additional…

高能物理 - 格点 · 物理学 2012-11-16 Simon Catterall , Aarti Veernala

We study SU(2) lattice gauge theory with two flavours of Dirac fermions in the adjoint representation. We measure the running of the coupling in the Schroedinger Functional (SF) scheme and find it is consistent with existing results. We…

高能物理 - 唯象学 · 物理学 2010-04-06 Francis Bursa , Luigi Del Debbio , Liam Keegan , Claudio Pica , Thomas Pickup

Superconformal indices of 4d \N=1 SYM theories with SU(N) and SP(2N) gauge groups are investigated for N_f=N and N_f=N+1 flavors, respectively. These indices vanish for generic values of the flavor fugacities. However, for a singular…

高能物理 - 理论 · 物理学 2015-06-18 V. P. Spiridonov , G. S. Vartanov

We investigate the conformal window of four-dimensional gauge theories with fermionic matter fields in multiple representations. Of particularly relevant examples are the ultra-violet complete models with fermions in two distinct…

高能物理 - 唯象学 · 物理学 2020-03-11 Byung Su Kim , Deog Ki Hong , Jong-Wan Lee

In this paper we study the large N_c limit of SO(N_c) gauge theory coupled to a Majorana field and a real scalar field in 1+1 dimensions extending ideas of Rajeev. We show that the phase space of the resulting classical theory of bilinears,…

高能物理 - 理论 · 物理学 2009-11-07 E. Toprak , O. T. Turgut

We explore the phase diagram for an $SU(N)$ gauge theory in $2 + 1$ dimensions with three families of fermions with different masses, all in the fundamental representation. The phase diagram is three dimensional and contains cuboid, planar…

高能物理 - 理论 · 物理学 2021-03-12 Abdullah Khalil , Radu Tatar

The observed replication of fermions in three families is undoubtedly a reflection of a deeper symmetry underlying the standard model. In this paper we investigate one very elementary possibility, that physics above the grand unification…

高能物理 - 唯象学 · 物理学 2009-10-22 Michael Joyce , Neil Turok

I present a numerical study of the crossover between the low temperature chirally broken phase and the high temperature chirally restored phase in $SU(N_c)$ gauge theory with $N_c=3-5$ colors and $N_f=2$ degenerate fermion flavors. Fermion…

高能物理 - 格点 · 物理学 2021-06-02 Thomas DeGrand

Motivated by recent progress on the understanding of the Eguchi-Kawai (EK) volume equivalence and growing interest in conformal window, we simultaneously use the large-Nc volume reduction and Chiral Random Matrix Theory (chRMT) to study the…

高能物理 - 格点 · 物理学 2013-01-03 Jong-Wan Lee , Masanori Hanada , Norikazu Yamada

$SU(N_c)$ lattice gauge theories with $N_f$ flavors of massless staggered fermions are considered at high quark chemical potential $\mu$ and any temperature $T$. In the strong coupling regime (sufficiently small $\beta$) they have been…

高能物理 - 格点 · 物理学 2015-11-13 E. T. Tomboulis

We consider a supersymmetric SO(10) model with a SU(3) symmetry of flavour in which fermion masses emerge via the see-saw mixing with superheavy fermions in 16+16bar representations. In this model the dangerous D=5 operators of proton decay…

高能物理 - 唯象学 · 物理学 2009-11-11 Z. Berezhiani , F. Nesti

We test a candidate for a four-dimensional C-function. This is done by considering all asymptotically free, vectorlike gauge theories with N_f flavors and fermions in arbitrary representations of any simple Lie group. Assuming spontaneous…

高能物理 - 理论 · 物理学 2009-11-07 Jesper Levinsen

We demonstrate that the chiral gauge flavor $SU(3)_f$ dynamics spontaneously generates the chiral symmetry breaking fermion self energies $\Sigma(p^2)$ resulting in wide and wild spectra of lepton and quark masses. The Goldstone theorem…

高能物理 - 唯象学 · 物理学 2014-01-30 Jiří Hošek

We calculate the ultraviolet to infrared evolution and analyze possible types of infrared behavior for several asymptotically free chiral gauge theories with gauge group SU($N$) and massless chiral fermions transforming according to a…

高能物理 - 理论 · 物理学 2015-02-05 Yan-Liang Shi , Robert Shrock