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It is shown numerically, in a chiral U(1) gauge Higgs theory in which the left and right-handed fermion components have opposite U(1) charges, that the spectrum of gauge and Higgs fields surrounding a static fermion contains both a ground…

High Energy Physics - Lattice · Physics 2021-09-08 Jeff Greensite

Due to the attractive features that domain wall fermions possess with respect to chiral symmetry, we continue our investigation of the light quark masses with this discretization. Achieving reliable results, especially for $(m_u + m_d)/2$,…

High Energy Physics - Lattice · Physics 2015-06-25 Matthew Wingate

We investigate chiral properties of the domain-wall fermion (DWF) system. After a brief introduction for the DWF, we summarize the recent numerical results on the chiral properties of the domain-wall QCD (DWQCD), which seem mutually…

High Energy Physics - Lattice · Physics 2009-11-07 Sinya Aoki

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…

High Energy Physics - Phenomenology · Physics 2020-03-11 Byung Su Kim , Deog Ki Hong , Jong-Wan Lee

We investigate a Lorentz-violating chiral model composed by two fermions, a complex scalar field and a gauge field. We show that by convenientely adjusting the parameters of the model, it is possible to generate an unambiguous…

High Energy Physics - Theory · Physics 2016-01-20 A. P. Baêta Scarpelli , M. Gomes , A. Yu. Petrov , A. J. da Silva

We pursue further an approach to lattice chiral fermions in which the fermions are treated in the continuum. To render the effective action gauge invariant, counterterms have to be introduced. We determine the counterterms for smooth gauge…

High Energy Physics - Lattice · Physics 2009-10-30 V. Bornyakov , G. Schierholz , A. Thimm

Domain wall fermions use a $2n$-dimensional spacetime defect embedded in $(2n+1)$-dimensional spacetime to realize massless lattice Dirac fermions. Recent work has extended this idea to realize a single unpaired Weyl fermion in a finite…

High Energy Physics - Theory · Physics 2025-06-06 Jonathan D. Kroth , Srimoyee Sen

Defining a Chiral Fermion Theory on a lattice has presented an ongoing challenge both in Condensed Matter physics and in Lattice Gauge Theory. In this paper, we demonstrate that a chiral free-fermion theory can live on an ultra-local…

High Energy Physics - Lattice · Physics 2018-06-08 Michael DeMarco , Xiao-Gang Wen

In order to enhance our understanding of spectral functions in lattice QCD obtained with the help of the Maximum Entropy Method, we study meson spectral functions for lattice fermions with chiral symmetry. In particular we analyse lattice…

High Energy Physics - Lattice · Physics 2010-10-27 Gert Aarts , Justin Foley

We report new results on the lattice regularization of the chiral Schwinger model and the chiral U(1) model in four dimensions in the CFA.

High Energy Physics - Lattice · Physics 2009-10-31 V. Bornyakov , A. Hoferichter , G. Schierholz , A. Thimm

We study four dimensional field theory from the low-energy effective theory of Type I, II or heterotic string theories. Chiral fermions in four dimensions are obtained by several mechanisms. Especially, the background flux is one of the…

High Energy Physics - Theory · Physics 2010-03-29 Hiroshi Ohki

We consider a Dirac field in 2+1 Euclidean dimensions, in the presence of a linear domain wall defect in its mass, and a constant electromagnetic field. We evaluate the exact fermionic determinant for the situation where the defect is…

High Energy Physics - Theory · Physics 2014-11-18 L. Da Rold , C. D. Fosco , A. P. C. Malbouisson

We show that noncommutative U(r) gauge theories with a chiral fermion in the adjoint representation can be constructed on the lattice with manifest star-gauge invariance in arbitrary even dimensions. Chiral fermions are implemented using a…

High Energy Physics - Theory · Physics 2009-11-07 J. Nishimura , M. A. Vazquez-Mozo

We investigate the eigenmodes of the massless Dirac operator to extract the scale-dependent fermion mass anomalous dimension gamma_m(mu). By combining simulations on multiple lattice volumes, and when possible several gauge couplings, we…

High Energy Physics - Lattice · Physics 2013-07-16 Anqi Cheng , Anna Hasenfratz , Gregory Petropoulos , David Schaich

A serious difficulty in conventional lattice field theory calculations is the coupling between the chiral and continuum limits. With both staggered and Wilson fermions, the chiral limit cannot be realized without first taking the limit of…

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

We perform hybrid Monte-Carlo simulation of $N_f=2+1+1 $ lattice QCD with domain-wall quarks at the physical point. The simulation is carried out on the $ L^3 \times T = 64^3 \times 64 $ lattice with lattice spacing $a \sim 0.064 $ fm ($ L…

High Energy Physics - Lattice · Physics 2022-09-21 Ting-Wai Chiu

We present renormalization constants of overlap quark bilinear operators on 2+1-flavor domain wall fermion configurations. Both overlap and domain wall fermions have chiral symmetry on the lattice. The scale independent renormalization…

High Energy Physics - Lattice · Physics 2013-12-03 Zhaofeng Liu , Ying Chen , Yi-Bo Yang , Shao-Jing Dong , Michael Glatzmaier , Ming Gong , Keh-Fei Liu , Anyi Li , Jian-Bo Zhang

We derive the effective Lagrangian for mesons in lattice gauge theory with domain-wall fermions in the strong-coupling and large-N_c limits. We use the formalism of supergroups to deal with the Pauli-Villars fields, needed to regulate the…

High Energy Physics - Lattice · Physics 2009-11-07 Federico Berruto , Richard C. Brower , Benjamin Svetitsky

I discretize axion string configuration coupled to a Dirac fermion, which in the continuum binds a massless chiral fermion in its core when the winding is one. I show that such a configuration can host one or more chiral fermions when…

High Energy Physics - Theory · Physics 2023-01-25 Srimoyee Sen