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Related papers: Chiral Defect Fermions and the Layered Phase

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A mean field analysis of finite density QCD is presented including the effects of additional chiral invariant four-fermion interactions. A lattice regularization is used with N_f=4 flavors of staggered fermions. The use of the four-fermion…

High Energy Physics - Lattice · Physics 2016-09-01 Michael Chavel

We investigate the implications of the quantized vectorial and axial charges in the lattice Hamiltonian of multi-flavor staggered fermions in $(1+1)$ dimensions. These lattice charges coincide with those of the $U(1)_V$ and $U(1)_A$ global…

High Energy Physics - Lattice · Physics 2025-03-07 Ling-Xiao Xu

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

The effective action induced by chiral fermions can be written, formally, as an overlap of two states. These states are the Fock ground states of Hamiltonians for fermions in even dimensional space with opposite sign mass terms coupled to…

High Energy Physics - Lattice · Physics 2009-10-22 Rajamani Narayanan , Herbert Neuberger

We carry out a numerical simulation of a domain-wall model in (4+1) dimensions, in the presence of a quenched U(1) dynamical gauge field only in an extra dimension, corresponding to the weak coupling limit of a (4-dimensional) physical…

High Energy Physics - Lattice · Physics 2009-10-28 S. Aoki , K. Nagai

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

Framing anomaly is a key property of $(2+1)d$ chiral topological orders, for it reveals that the chirality is an intrinsic bulk property of the system, rather than a property of the boundary between two systems. Understanding framing…

High Energy Physics - Theory · Physics 2026-01-09 Ze-An Xu , Jing-Yuan Chen

We propose a new formulation of chiral fermions on a lattice, on the basis of a lattice extension of the covariant regularization scheme in continuum field theory. The species doublers do not emerge. The real part of the effective action is…

High Energy Physics - Theory · Physics 2016-08-25 Kiyoshi Okuyama , Hiroshi Suzuki

The chiral U(1) anomalies associated with a fermion of spin 1/2 interacting with nonabelian vector and axial-vector fields in four- and six-dimensional curved space are given in tensorial form.

High Energy Physics - Theory · Physics 2017-06-26 S. Yajima , K. Eguchi , M. Fukuda , T. Oka , H. Taira , S. Yamashita

Non-compact three-dimensional QED is studied by computer simulations to understand its chiral symmetry breaking features for different values of the number of fermion flavors N_f. We consider the four-component formulation for the fermion…

High Energy Physics - Lattice · Physics 2008-11-26 Costas Strouthos , John B. Kogut

Chiral gauge groups acting on a lattice fermion field are constructed such that all fermion modes (doublers) have the same charge. Details are given for an abelian axial gauge group within a perturbative framework. An action based on this…

High Energy Physics - Lattice · Physics 2007-05-23 Alan Horowitz

We study the chiral symmetry structure in a linear sigma model with fermions in the presence of an external, uniform magnetic field in the 'effective potential' approach at the one loop level. We also study the chiral phase transition as a…

High Energy Physics - Phenomenology · Physics 2011-02-19 Ashok Goyal , Meenu Dahiya

We study the effective action for strong-coupling lattice QCD with one-component staggered fermions in the case of nonzero chemical potential and zero temperature. The structure of this action suggests that at large chemical potentials its…

High Energy Physics - Lattice · Physics 2010-02-03 Barak Bringoltz

We investigate the chiral phase transition at finite temperature (T) in colour SU(Nc=3) Quantum Chromodynamics (QCD) with six species of fermions (Nf=6) in the fundamental representation by using lattice QCD with improved staggered…

High Energy Physics - Lattice · Physics 2012-03-30 Kohtaroh Miura , Maria Paola Lombardo , Elisabetta Pallante

In the last century the non-perturbative regularization of chiral fermions was a long-standing problem. We review how this problem was finally overcome by the formulation of a modified but exact form of chiral symmetry on the lattice. This…

High Energy Physics - Lattice · Physics 2011-09-28 Wolfgang Bietenholz

We present an update of the light meson spectrum with $N_f$=2+1 overlap fermions on a $16^3\times 48$ lattice at five different up and down quark masses and two strange quark masses. Based on our experience with the previous simulation with…

High Energy Physics - Lattice · Physics 2012-08-27 JLQCD , TWQCD Collaborations , : , J. Noaki , S. Aoki , T. W. Chiu , H. Fukaya , S. Hashimoto , T. H. Hsieh , T. Kaneko , H. Matsufuru , T. Onogi , E. Shintani , N. Yamada

A lattice derivative is defined as a discrete Fourier transform of momentum on a finite lattice. Species doublers are removed with anti-periodic boundary conditions. U(1) chiral transformation is modified to reproduce chiral anomaly. Chiral…

High Energy Physics - Lattice · Physics 2007-05-23 Takanori Sugihara

We study strongly coupled lattice QCD with $N$ colors of staggered fermions in 3+1 dimensions. While mean field theory describes the low temperature behavior of this theory at large $N$, it fails in the scaling region close to the finite…

High Energy Physics - Lattice · Physics 2009-11-10 Shailesh Chandrasekharan , Costas G. Strouthos

We continue our earlier study of the phase structure of a SU(2) gauge theory whose action contains additional chirally invariant four fermion interactions. Our lattice theory uses a reduced staggered fermion formalism to generate two Dirac…

High Energy Physics - Lattice · Physics 2015-06-15 Simon Catterall , Aarti Veernala

Inspired by the Dirac model model of graphene, we consider a $(2+1)$-dimensional fermionic system in which fermions are described by four-component spinors. These fermions are proposed to interact with an electromagnetic field originating…

High Energy Physics - Theory · Physics 2025-04-04 Sergey N. Solodukhin