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Related papers: Large-scale simulations with chiral symmetry

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We discuss the problem of formulating the continuum limit of chiral gauge theories ($\chi$GT) in the absence of an explicitly gauge-invariant regulator for the fermions. A solution is proposed which is independent of the details of the…

High Energy Physics - Phenomenology · Physics 2008-02-03 Pilar Hernandez , Raman Sundrum

We report a first-of-its-kind analysis on post-Trotter simulation of U(1), SU(2) and SU(3) lattice gauge theories including fermions in arbitrary spatial dimension. We provide explicit circuit constructions as well as T-gate counts and…

Quantum Physics · Physics 2025-01-08 Mason L. Rhodes , Michael Kreshchuk , Shivesh Pathak

We give a pedagogical review of implications of chiral symmetry in QCD. First, we briefly discuss classical textbook subjects such as the axial anomaly, spontaneous breaking of the flavor-nonsinglet chiral symmetry, formation of light…

High Energy Physics - Phenomenology · Physics 2016-11-23 A. V. Smilga

A general precedure is outlined for an algorithmic implementation of the strong coupling expansion of lattice chiral models on arbitrary lattices. A symbolic character expansion in terms of connected values of group integrals on skeleton…

High Energy Physics - Lattice · Physics 2009-10-28 M. Campostrini , P. Rossi , E. Vicari

There exist chiral gauge models in two dimensions that have massless composite fermions. Two examples are presented and it is suggested that they be accepted as benchmark test-cases for generic proposals of non-perturbatively regulating…

High Energy Physics - Lattice · Physics 2009-10-28 R. Narayanan , H. Neuberger

This paper presents a formulation of lattice fermions applicable to all quark masses, large and small. We incorporate interactions from previous light-fermion and heavy-fermion methods, and thus ensure a smooth connection to these limiting…

High Energy Physics - Lattice · Physics 2008-11-26 Aida X. El-Khadra , Andreas S. Kronfeld , Paul B. Mackenzie

We present recent results on lattice simulations using chiral effective field theory. In particular we discuss lattice simulations for dilute neutron matter at next-to-leading order and three-body forces in light nuclei at…

Nuclear Theory · Physics 2009-06-25 Dean Lee

Unphysical effects associated with finite lattice spacing and partial quenching generally lead to to the presence of unphysical terms in chiral extrapolation formulae, which must be removed to make physical predictions. We use mixed action…

Nuclear Theory · Physics 2007-05-23 A. Walker-Loud

The $SU(N_f)_L \otimes SU(N_f)_R$ chiral symmetry of QCD is of central importance for the nonperturbative low-energy dynamics of light quarks and gluons. Lattice field theory provides a theoretical framework in which these dynamics can be…

High Energy Physics - Lattice · Physics 2009-11-10 S. Chandrasekharan , U. -J. Wiese

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

We report on the first master-field simulations of QCD with 2+1 dynamical quark flavours using non-perturbatively improved stabilised Wilson fermions. Our simulations are performed at a lattice spacing of 0.094 fm with 96 and 192 points in…

High Energy Physics - Lattice · Physics 2021-11-24 P. Fritzsch , J. Bulava , M. Cè , A. Francis , M. Lüscher , A. Rago

We implement a variational quantum algorithm to investigate the chiral condensate in a 1+1 dimensional SU(2) non-Abelian gauge theory. The algorithm is evaluated using a proposed Monte Carlo sampling method, which allows the extension to…

High Energy Physics - Phenomenology · Physics 2025-04-02 Guofeng Zhang , Xingyu Guo , Enke Wang , Hongxi Xing

We present a method for implementing gauge theories of chiral fermions on the lattice.

High Energy Physics - Lattice · Physics 2014-11-17 Geoffrey T. Bodwin

By bosonization of an extended NJL model we derive an effective meson theory which describes the interplay between chiral symmetry and heavy quark dynamics. This effective theory is worked out in the low-energy regime using the gradient…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Ebert , T. Feldmann , R. Friedrich , H. Reinhardt

Chiral perturbation theory predicts that in quantum chromodynamics (QCD), light dynamical quarks suppress the gauge-field topological susceptibility of the vacuum. The degree of suppression depends on quark multiplicity and masses. It…

Chiral perturbation theory gives direct and unambiguous predictions for the form of various two-point hadronic correlators at low momentum in terms of a finite set of couplings in a chiral Lagrangian. In this paper we study the feasibility…

High Energy Physics - Lattice · Physics 2016-09-01 A. Duncan , S. Pernice , J. Yoo

I demonstrate how chiral fermions with an exact gauge symmetry can appear on the d-dimensional boundary of a finite volume (d+1)-dimensional manifold, without any light mirror partners. The condition for the d-dimensional boundary theory to…

High Energy Physics - Lattice · Physics 2024-03-15 David B. Kaplan

We present a lattice simulation study of large $N_c$ regularities of meson and baryon spectroscopy in $SU(N_c)$ gauge theory with two flavors of dynamical fundamental representation fermions. Systems investigated include $N_c=2$, 3, 4, and…

High Energy Physics - Lattice · Physics 2017-01-04 Thomas DeGrand , Yuzhi Liu

We construct symmetry-preserving lattice regularizations of 2d QED with one and two flavors of Dirac fermions, as well as the `3450' chiral gauge theory, by leveraging bosonization and recently-proposed modifications of Villain-type lattice…

High Energy Physics - Lattice · Physics 2024-06-14 Evan Berkowitz , Aleksey Cherman , Theodore Jacobson

We perform lattice simulations of two-flavor QCD using Neuberger's overlap fermion, with which the exact chiral symmetry is realized at finite lattice spacings. The epsilon-regime is reached by decreasing the light quark mass down to 3 MeV…

High Energy Physics - Lattice · Physics 2008-11-26 JLQCD collaboration , H. Fukaya , S. Aoki , T. W. Chiu , S. Hashimoto , T. Kaneko , H. Matsufuru , J. Noaki , K. Ogawa , M. Okamoto , T. Onogi , N. Yamada
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