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Related papers: Gap Domain Wall Fermions

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The effect of changing the lattice action for the gluon field on the recently observed [1] first order phase transition near zero quark mass is investigated by replacing the Wilson plaquette action by the DBW2 action. The lattice action for…

High Energy Physics - Lattice · Physics 2011-09-13 F. Farchioni , K. Jansen , I. Montvay , E. Scholz , L. Scorzato , A. Shindler , N. Ukita , C. Urbach , I. Wetzorke

We study a parameter optimization of domain-wall fermions to improve chiral symmetry based on machine learning. Domain-wall fermions involve coefficients along the fifth dimension, which can be treated as trainable parameters to reduce the…

High Energy Physics - Lattice · Physics 2026-03-18 Shunsuke Yasunaga , Kenta Yoshimura , Akio Tomiya , Yuki Nagai

A $U(1)$ gauge theory coupled to a Wilson fermion on a $2+1$ dimensional cubic lattice is known to exhibit Chern insulator like topological transitions as a function of the the ratio $M/R$ where $M$ is the fermion mass and $R$ is the Wilson…

High Energy Physics - Theory · Physics 2020-12-30 Srimoyee Sen

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

We extend the epsilon-expansion of continuum chiral perturbation theory to nonzero lattice spacing in the framework of Wilson Chiral Perturbation Theory. We distinguish various regimes by defining the relative power counting of the quark…

High Energy Physics - Lattice · Physics 2010-11-05 Oliver Bar , Silvia Necco , Stefan Schaefer

We discuss two modifications of domain-wall fermions, aimed to reduce the chiral-symmetry violations presently encountered in numerical simulations.

High Energy Physics - Lattice · Physics 2007-05-23 Yigal Shamir

We present a study of the Dirac eigenvalue spectrum near the region of the QCD phase transition. This study makes use of a sequence of ensembles with temperatures from 150 MeV to 200 MeV generated with $2 + 1$ flavors of dynamical domain…

High Energy Physics - Lattice · Physics 2011-11-07 Zhongjie Lin

We derive the axial Ward identity for lattice QCD with domain-wall fermions, and from which we obtain a formula for the residual mass (45)-(46), that can be used to measure the chiral symmetry breaking due to the finite extension Ns in the…

High Energy Physics - Lattice · Physics 2012-11-12 Yu-Chih Chen , Ting-Wai Chiu

We perform lattice simulations of two flavors QCD using the optimal domain-wall fermion, in which the chiral symmetry is preserved to a good precision ($ m_{res} \sim 0.3 $ MeV) on the $ 16^3 \times 32 $ lattice ($ L \sim 2 $ fm) with…

High Energy Physics - Lattice · Physics 2011-01-14 Yu-Chih Chen , Ting-Wai Chiu , Tian-Shin Guu , Tung-Han Hsieh , Chao-Hsi Huang , Yao-Yuan Mao

In perturbation theory, the wave function of domain-wall quarks decreases exponentially with the fifth coordinate. We show that, regardless of the quark's own momentum, the fall-off rate of the one-loop wave function is equal to the slowest…

High Energy Physics - Lattice · Physics 2009-10-31 Yigal Shamir

We investigate the effect of $U (1)$ gauge field on lattice fermion systems with a curved domain-wall mass term. In the same way as the conventional flat domain-wall fermion, the chiral edge modes appear localized at the wall, whose Dirac…

High Energy Physics - Lattice · Physics 2023-01-09 Shoto Aoki , Hidenori Fukaya

We report on the first large-scale study of two flavor QCD with domain wall fermions (DWF). Simulation has been carried out at three dynamical quark mass values about 1/2, 3/4, and 1 $m_{strange}$ on $16^3\times 32$ volume with $L_s=12$ and…

High Energy Physics - Lattice · Physics 2019-08-14 Taku Izubuchi

We study the eigenvalues of Dirac operators in QCD with two mass degenerate dynamical fermions. The gauge configurations have been obtained with HMC and the so-called Chirally Improved fermionic action. We compare eigenvalues obtained for…

High Energy Physics - Lattice · Physics 2009-04-14 Martina Joergler , C. B. Lang

We present results from simulations of two flavors of dynamical overlap fermions on 8^4 lattices at three values of the sea quark mass and a lattice spacing of about 0.16 fm. We measure the topological susceptibility and the chiral…

High Energy Physics - Lattice · Physics 2009-11-11 Thomas DeGrand , Stefan Schaefer

We address a long standing problem regarding topology in lattice simulations of QCD with unimproved Wilson fermions. Earlier attempt with unimproved Wilson fermions at \beta =5.6 to verify the suppression of topological susceptibility with…

High Energy Physics - Lattice · Physics 2015-05-30 Abhishek Chowdhury , Asit K. De , Sangita De Sarkar , A. Harindranath , Santanu Mondal , Anwesa Sarkar , Jyotirmoy Maiti

We investigate, in the framework of perturbation theory at finite $N_s$, the effectiveness of improved gauge actions in suppressing the chiral violations of domain-wall fermions. Our calculations show substantial reductions of the residual…

High Energy Physics - Lattice · Physics 2008-11-26 Stefano Capitani

In the generic domain wall fermion formulation of chiral fermions on the lattice, the zero modes of the four-dimensional Wilson fermion operator with the negative mass parameter $-M_5$ introduce unphysical massive modes propagating in the…

High Energy Physics - Lattice · Physics 2014-06-10 Jian Liang , Ying Chen , Ming Gong , Long-Cheng Gui , Keh-Fei Liu , Zhaofeng Liu , Yi-Bo Yang

The chiral properties of lattice fermions can be improved by altering either their fermion-gauge coupling or the pure gauge part of the action (or both). Using both perturbation theory and nonperturbative simulation, we compare a simple…

High Energy Physics - Lattice · Physics 2016-09-01 Thomas DeGrand , Anna Hasenfratz , Tamas G. Kovacs

We present results for the pseudoscalar meson masses and decay constants on 2+1 flavor DWF configurations with different sea quark masses and an inverse lattice spacing of 1.6(1) GeV, with a focus on chiral fits at small quark masses. The…

High Energy Physics - Lattice · Physics 2016-09-01 Meifeng Lin

We formulate the massive domain wall fermions on anisotropic lattices. For the massive domain wall fermion, we find that the dispersion relation assumes the usual form in the low momentum region when the bare parameters are properly tuned.…

High Energy Physics - Lattice · Physics 2016-09-01 Xu Feng , Xin Li , Wei Liu , Chuan Liu
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