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We discuss locality in the domain-wall QCD through the effective four-dimensional Dirac operator which is defined by the transfer matrix of the five-dimensional Wilson fermion. We first derive an integral representation for the effective…

高能物理 - 格点 · 物理学 2009-10-31 Yoshio Kikukawa

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…

高能物理 - 格点 · 物理学 2022-09-21 Ting-Wai Chiu

Studying various thermodynamic quantities for the free domain wall fermions for both finite and infinite fifth dimensional extent N_5, we find that the lattice corrections are minimum for $N_T\geq10$ for both energy density and…

高能物理 - 格点 · 物理学 2009-11-06 R. V. Gavai , Sayantan Sharma

We extend work by Callan and Harvey and show how the phase of the chiral fermion determinant in four dimensions is reproduced by zeromodes bound to a domain wall in five dimensions. The analysis could shed light on the applicability of…

高能物理 - 理论 · 物理学 2019-08-15 David B. Kaplan , Martin Schmaltz

Random-lattice fermions have been shown to be free of the doubling problem if there are no interactions or interactions of a non-gauge nature. On the other hand, gauge interactions impose stringent constraints as expressed by the…

高能物理 - 格点 · 物理学 2009-10-22 C J Griffin , T D Kieu

We investigate the effects of the violation of the Ginsparg-Wilson (GW) relation in the M\"obius domain-wall fermion formulation on the lattice with finite fifth dimension. Using a decomposion in terms of the eigenmodes of its…

高能物理 - 格点 · 物理学 2016-03-02 JLQCD collaboration , Guido Cossu , Hidenori Fukaya , Shoji Hashimoto , Akio Tomiya

In the standard lattice domain-wall fermion formulation, one needs two flat domain-walls where both of the left- and right-handed massless modes appear. In this work we investigate a single domain-wall system with a nontrivial curved…

高能物理 - 格点 · 物理学 2024-05-22 Shoto Aoki , Hidenori Fukaya , Naoto Kan

Studies of non-interacting lattice fermions give an estimate of the size of discretization errors and finite size effects for more interesting problems like finite temperature QCD. We present a calculation of the thermodynamic equation of…

高能物理 - 格点 · 物理学 2009-10-31 George T. Fleming

We explore the heavy-quark mass region above the charm mass using M\"obius domain-wall fermions on fine lattices at $a = 0.080$, $0.055$, and $0.044$ fm. We examine masses and decay constants using a series of heavy quark masses up to 3…

高能物理 - 格点 · 物理学 2017-02-09 Brendan Fahy , Guido Cossu , Shoji Hashimoto

At a fixed lattice spacing, as determined by say m_\rho, adding additional fermion flavors to a dynamical simulation produces rougher gauge field configurations at the lattice scale. For domain wall fermions, these rough configurations lead…

高能物理 - 格点 · 物理学 2009-11-13 Meifeng Lin

We derive the effective action of the light fermion field of the domain-wall fermion, which is referred as q(x) and \bar q(x) by Furman and Shamir. The inverse of the effective Dirac operator turns out to be identical to the inverse of the…

高能物理 - 格点 · 物理学 2007-05-23 Yoshio Kikukawa

We investigate a U(1) chiral gauge model in 4+1 dimensions formulated on the lattice via the domain-wall method. We calculate an effective action for smooth background gauge fields at a fermion one loop level. From this calculation we…

高能物理 - 格点 · 物理学 2009-10-28 S. Aoki , H. Hirose

Presented is a quantum lattice gas algorithm to efficiently model a system of Dirac particles interacting through an intermediary gauge field. The algorithm uses a fixed qubit array to represent both the spacetime and the particles…

量子物理 · 物理学 2017-02-01 Jeffrey Yepez

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…

高能物理 - 格点 · 物理学 2026-03-18 Shunsuke Yasunaga , Kenta Yoshimura , Akio Tomiya , Yuki Nagai

Local interactions among electrons underlie many complex properties of correlated materials. While the Jordan-Wigner transformation can preserve this locality along one spatial dimension, interactions along the remaining dimensions…

量子物理 · 物理学 2026-05-14 Gregor Aigner , Berend Klaver , Martin Lanthaler , Wolfgang Lechner

First results from simulations of improved actions for both gauge fields and staggered fermion fields in three dimensional QCD are presented. This work provides insight into some issues of relevance to lattice theories in four dimensions.…

高能物理 - 格点 · 物理学 2011-07-19 Howard D. Trottier

We present our recent studies of the pseudo-critical temperature, $T_c$, of QCD using domain wall fermions. Domain wall fermions have the advantage that they preserve exact SU(2) chiral symmetry at finite lattice spacing in the limit that…

高能物理 - 格点 · 物理学 2010-01-21 Michael Cheng

A direct calculation of the mixed-action parameter $\Delta_{mix}$ with valence overlap fermions on a domain-wall fermion sea is presented. The calculation is performed on four ensembles of the 2+1-flavor domain-wall gauge configurations:…

高能物理 - 格点 · 物理学 2013-05-30 M. Lujan , A. Alexandru , T. Draper , W. Freeman , M. Gong , F. X. Lee , A. Li , K. F. Liu , N. Mathur

We have recently given a construction of the overlap Dirac operator at nonzero quark chemical potential. Here, we introduce a quark chemical potential in the domain-wall fermion formalism and show that our earlier result is reproduced if…

高能物理 - 格点 · 物理学 2008-11-26 Jacques Bloch , Tilo Wettig

We propose using the extra dimension separating the domain walls carrying lattice quarks of opposite handedness to gradually filter out the ultraviolet fluctuations of the gauge fields that are felt by the fermionic excitations living in…

高能物理 - 格点 · 物理学 2007-05-23 Oliver Baer , Rajamani Narayanan , Herbert Neuberger , Oliver Witzel