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We present a study of chiral behavior of light meson form factors in QCD with three flavors of overlap quarks. Gauge ensembles are generated at single lattice spacing 0.12 fm with pion masses down to 300 MeV. The pion and kaon…

High Energy Physics - Lattice · Physics 2016-01-29 JLQCD Collaboration , T. Kaneko , S. Aoki , G. Cossu , X. Feng , H. Fukaya , S. Hashimoto , J. Noaki , T. Onogi

We investigate the chiral dynamics of gauge theories developing an infrared stable fixed point. We determine the dependence of the bilinear fermion condensate on the underlying fermion mass and its anomalous dimension. We introduce the…

High Energy Physics - Phenomenology · Physics 2010-04-21 Francesco Sannino

I consider an Abelian gauge theory, with a complex scalar field and massless, chiral fermions, in the limit where the couplings and the interactions induce radiative symmetry breaking, and I derive and verify the Nielsen identities that…

High Energy Physics - Phenomenology · Physics 2021-04-14 Dimitrios Metaxas

We propose a Clifford algebra approach to chiral symmetry breaking and fermion mass hierarchies in the context of composite Higgs bosons. Standard model fermions are represented by algebraic spinors of six-dimensional binary Clifford…

High Energy Physics - Phenomenology · Physics 2017-09-28 Wei Lu

We investigate a proposal for the construction of models with chiral fermions on the lattice using staggered fermions. In this approach the gauge invariance is broken by the coupling of the staggered fermions to the gauge fields. We aim at…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

The gauge independence of the dynamical fermion mass generated through chiral symmetry breaking in QED in a strong, constant external magnetic field is critically examined. We show that the bare vertex approximation, in which the vertex…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. N. Leung , S. -Y. Wang

We consider a field theoretical model where a SU(2) fermion doublet, subjected to non-Abelian gauge interactions, is also coupled to a complex scalar field doublet via a Yukawa and an irrelevant Wilson-like term. Despite the presence of…

We study the effects of finite chemical potential and impurity scattering on dynamical fermion mass generation in (2+1)-dimensional quantum electrodynamics. In any realistic systems, these effects usually can not be neglected. The…

Strongly Correlated Electrons · Physics 2015-11-23 Wei Li , Guo-Zhu Liu

We study fermion number non-conservation (or chirality breaking) in Abelian gauge theories at finite temperature. We consider the presence of a chemical potential $\mu$ for the fermionic charge, and monitor its evolution with real-time…

High Energy Physics - Theory · Physics 2020-06-30 Daniel G. Figueroa , Adrien Florio , Mikhail Shaposhnikov

The possibility of radiative generation of fermion masses from soft supersymmetry breaking chiral flavor violation is explored. Consistent models are identified and classified. Phenomenological implications for electric dipole moments and…

High Energy Physics - Phenomenology · Physics 2009-10-30 F. M. Borzumati , G. R. Farrar , N. Polonsky , S. Thomas

A spontaneously broken SU(2)xU(1) gauge theory with just one "primordial" generation of fermions is formulated in the context of generally covariant theory which contains two measures of integration in the action: the standard…

High Energy Physics - Theory · Physics 2014-11-18 E. I. Guendelman , A. B. Kaganovich

We discuss the quantum computation of dynamical chirality production in lattice gauge theory. Although the chirality of a lattice fermion is complicated in general dimensions, it can be simply formulated on a one-dimensional lattice. The…

High Energy Physics - Lattice · Physics 2024-02-05 Tomoya Hayata , Katsumasa Nakayama , Arata Yamamoto

We compute the chiral symmetries of the Lagrangian for confining "vector-like" gauge theories with massless fermions in $d$-dimensional Minkowski space and, under a few reasonable assumptions, determine the form of the quadratic fermion…

High Energy Physics - Theory · Physics 2014-07-30 Richard DeJonghe , Kimberly Frey , Tom Imbo

The standard wisdom on the origin of massless bosons in the spectrum of a Quantum Field Theory $(QFT)$ describing the interaction of gauge fields coupled to matter fields is based on two well known features: gauge symmetry, and spontaneous…

High Energy Physics - Lattice · Physics 2019-10-30 Vicente Azcoiti

We study relativistic fermions in three euclidean dimensions with four- and six-fermion interactions of the Gross-Neveu type. In the limit of many fermion flavors, and besides the isolated free fixed point, the theory displays a line of…

High Energy Physics - Theory · Physics 2023-05-04 Charlie Cresswell-Hogg , Daniel F. Litim

The symmetric mass generation (SMG) approach to the construction of lattice chiral gauge theories attempts to use interactions to render mirror fermions massive without symmetry breaking, to obtain the desired chiral massless spectrum…

High Energy Physics - Lattice · Physics 2026-03-18 Maarten Golterman , Yigal Shamir

A model is constructed for a chiral abelian gauge-interaction of fermions and a potential of three higgses, so that the potential possesses a discrete symmetry of the vacuum state, which provides the introduction of three generations for…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Kiselev

We show that the assumption of non-zero topological susceptibility of the vacuum in a fermion-free version of a theory, such as gravity or QCD, suffices to conclude the following: Once N massless fermion flavors are added to the theory,…

High Energy Physics - Theory · Physics 2017-05-19 Gia Dvali

We construct a chiral gauge theory to describe fractionalization of fermions in graphene. Thereby we extend a recently proposed model, which relies on vortex formation. Our chiral gauge fields provide dynamics for the vortices and also…

Strongly Correlated Electrons · Physics 2009-11-13 R. Jackiw , S. -Y. Pi

A new mechanism is proposed to explain the appearance of the three known fermion generations in a natural way. The underlying idea is based on the discreteness of the spectrum of solutions of the gap equation appearing in models of…

High Energy Physics - Phenomenology · Physics 2008-02-03 George Triantaphyllou