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In the domain wall fermion formulation, chiral symmetry breaking in full QCD is expected to fall exponentially with the length of the extra dimension. We measure the chiral symmetry breaking due to a finite extra dimension in two ways,…

High Energy Physics - Lattice · Physics 2015-06-25 George R. Fleming

We study on-shell decays of light vector meson resonances $\rho$, $K^*$ and $\phi$ in the framework of chiral constituent quark model using resummation calculations. Such studies are necessary for showing that chiral dynamics works well at…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yi-Bin Huang , Xiao-Jun Wang , Mu-Lin Yan

We perform a lattice study, in the quenched approximation, of dynamical mass generation in a system of relativistic (Dirac) fermions, coupled to an Abelian gauge field in (2+1)-dimensions, in the presence of an external (constant) magnetic…

High Energy Physics - Lattice · Physics 2009-10-31 K. Farakos , G. Koutsoumbas , N. E. Mavromatos

In this paper we study how dynamical chiral symmetry breaking is affected by nonzero chiral chemical potential in Dirac semimetals. To perform this study we applied lattice quantum Monte Carlo simulations of Dirac semimetals. Within lattice…

Strongly Correlated Electrons · Physics 2019-08-14 V. V. Braguta , M. I. Katsnelson , A. Yu. Kotov , A. M. Trunin

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…

High Energy Physics - Phenomenology · Physics 2015-05-28 A. Doff , F. A. Machado , A. A. Natale

Taking inspiration from lattice QCD results, we argue that a non-perturbative mass term for fermions can be generated as a consequence of the dynamical phenomenon of spontaneous chiral symmetry breaking, in turn triggered by the explicitly…

High Energy Physics - Lattice · Physics 2013-12-06 Roberto Frezzotti , GianCarlo Rossi

The chiral phase dependence of fermion partition function in spherically symmetric U(1) gauge field background is analyzed in two dimensional space-time. A well-defined method to calculated the path integral which apply to the continuous…

High Energy Physics - Theory · Physics 2007-05-23 Hisashi Kikuchi

In this paper we develop a new method that is different from Schwinger proper time method to deduce the fermion propagator with a constant external magnetic field. In the NJL model, we use this method to find out the gap equation at zero…

High Energy Physics - Phenomenology · Physics 2015-03-03 Song Shi , You-Chang Yang , Yong-Hui Xia , Zhu-Fang Cui , Xiao-Jun Liu , Hong-Shi Zong

We construct effective one-loop vertices and propagators in the linear sigma model at finite temperature, satisfying the chiral Ward identities and thus respecting chiral symmetry, treating the pion momentum, pion mass and temperature as…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alejandro Ayala , Sarira Sahu

A survey is given on selected topics concerning the role of spontaneous chiral symmetry breaking in low-energy QCD, and its dynamical implications for nuclear systems. This includes aspects of chiral thermodynamics (the temperature and…

Nuclear Theory · Physics 2014-11-18 Wolfram Weise

Spontaneous symmetry breaking generally circumvents one-dimensional systems with local interactions in thermal equilibrium. Here, we analyze a category of one-dimensional Hermitian models via local non-Hermitian constructions. Notably,…

Quantum Physics · Physics 2025-06-30 Jia-Bao Wang , Zi-Hao Dong , Yi Zhang

In three-dimensional QED with a Chern--Simons term we study the phase structure associated with chiral-symmetry breaking in the framework of the Schwinger--Dyson equation. We give detailed analyses on the analytical and numerical solutions…

High Energy Physics - Phenomenology · Physics 2016-09-01 K. --I. Kondo , P. Maris

A chiral fermion action allows one to do very clean studies of chiral symmetry breaking in QCD. I will briefly describe how to compute with the overlap action (relatively) cheaply, and then turn to physics: Low modes of the Dirac operator…

High Energy Physics - Lattice · Physics 2007-05-23 Thomas DeGrand

We study dynamical mass generation in QED in (2+1) dimensions using Hamiltonian lattice methods. We use staggered fermions, and perform simulations with explicit dynamical fermions in the chiral limit. We demonstrate that a recently…

High Energy Physics - Lattice · Physics 2009-11-07 Pieter Maris , Dean Lee

The one-loop fermionic contribution to the probability of an instanton transition with fermion number violation is calculated in the chiral Abelian Higgs model in 1+1 dimensions, where the fermions have a Yukawa coupling to the scalar…

High Energy Physics - Phenomenology · Physics 2009-11-11 Y. Burnier , M. Shaposhnikov

Dynamical fermion mass generation is studied in the three-dimensional Thirring model reformulated as a gauge theory by introducing hidden local symmetry. The analysis by use of Schwinger-Dyson equation is shown to exhibit a critical…

High Energy Physics - Phenomenology · Physics 2007-05-23 Taichi Itoh , Yoonbai Kim , Masaki Sugiura , Koichi Yamawaki

The coupling of spin 0 and spin 1 external fields to Dirac fermions defines a theory which displays gauge chiral symmetry. Quantum mechanically, functional integration of the fermions yields the determinant of the Dirac operator, known as…

High Energy Physics - Theory · Physics 2008-12-18 L. L. Salcedo

An exact representation of the Euclidean fermion determinant in two dimensions for centrally symmetric, finite-ranged Abelian background fields is derived. Input data are the wave function inside the field's range and the scattering phase…

High Energy Physics - Theory · Physics 2009-11-10 M. P. Fry

The gap equation is a cornerstone in understanding dynamical chiral symmetry breaking and may also provide clues to confinement. A symmetry-preserving truncation of its kernel enables proofs of important results and the development of an…

Nuclear Theory · Physics 2010-03-04 P. Maris , A. Raya , C. D. Roberts , S. M. Schmidt

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