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相关论文: Recent Developments of Domain-wall/Overlap Fermion…

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I review the lattice formulations of vector-like gauge theories (e.g. QCD) with domain-wall fermions, and discuss how to optimize the chiral symmetry for any finite N_s (in the fifth dimension), as well as to eliminate its dependence on…

高能物理 - 格点 · 物理学 2017-08-23 Ting-Wai Chiu

We briefly review the overlap formalism for chiral gauge theories, the overlap Dirac operator for massless fermions and its connection to domain wall fermions. We describe properties of the overlap Dirac operator, and methods to implement…

高能物理 - 格点 · 物理学 2007-05-23 Robert G. Edwards , Urs M. Heller , Joe Kiskis , Rajamani Narayanan

Two transparent layers are introduced at the boundaries of the fifth dimension for the optimal domain-wall fermions. For the quark fields defined in terms of these two transparent layers, they obey the usual chiral projection rule in the…

高能物理 - 格点 · 物理学 2012-09-14 Ting-Wai Chiu

Critical slowing down for the Krylov Dirac solver presents a major obstacle to further advances in lattice field theory as it approaches the continuum solution. We propose a new multi-grid approach for chiral fermions, applicable to both…

高能物理 - 格点 · 物理学 2020-12-30 Richard C. Brower , M. A. Clark , Dean Howarth , Evan S. Weinberg

Applications of Domain Wall fermions to various vector-like lattice theories are reviewed with an emphasis on QCD thermodynamics. Methods for improving their chiral properties at strong coupling are discussed and results from implementing…

高能物理 - 格点 · 物理学 2007-05-23 P. Vranas

The Overlap-Dirac operator provides a lattice regularization of massless vector gauge theories with an exact chiral symmetry. Practical implementations of this operator and recent results in quenched QCD using this Overlap-Dirac operator…

高能物理 - 格点 · 物理学 2007-05-23 Robert G. Edwards , Urs M. Heller , Rajamani Narayanan

We review the status of the domain wall fermion approach to construct chiral gauge theories on the lattice. In this model an extra, fifth dimension is added and our 4-dimensional world lives on a domainwall induced by a soliton shaped mass…

高能物理 - 格点 · 物理学 2015-06-25 Karl Jansen

It is shown that the effective 4D lattice Dirac operator of optimal lattice domain-wall fermions with finite N_s (in the fifth dimension) is exponentially local for sufficiently smooth gauge background.

高能物理 - 格点 · 物理学 2014-11-17 Ting-Wai Chiu

We investigate the eigenvalues of nearly chiral lattice Dirac operators constructed with five-dimensional implementations. Allowing small violation of the Ginsparg-Wilson relation, the HMC simulation is made much faster while the…

高能物理 - 格点 · 物理学 2013-11-20 H. Fukaya , S. Aoki , G. Cossu , S. Hashimoto , T. Kaneko , J. Noaki

We construct a model in which four dimensional chiral fermions arise on the boundaries of a five dimensional lattice with free boundary conditions in the fifth direction. The physical content is similar to Kaplan's model of domain wall…

高能物理 - 格点 · 物理学 2009-10-22 Yigal Shamir

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…

Domain wall fermions provide a complimentary alternative to traditional lattice fermion approaches. By introducing an extra dimension, the amount of chiral symmetry present in the lattice theory can be controlled in a linear way. This…

高能物理 - 格点 · 物理学 2009-10-31 Pavlos Vranas

I review domain wall fermions in vector gauge theories. Following a brief introduction, the status of lattice calculations using domain wall fermions is presented. I focus on results from QCD, including the light quark masses and spectrum,…

高能物理 - 格点 · 物理学 2009-10-31 T. Blum

We summarize our recent investigations of lattice QCD with dynamical overlap fermions. We sketch algorithmic issues and our approach to solving them. We show our measurement of the topological susceptibility. We describe a computation of…

高能物理 - 格点 · 物理学 2007-05-23 Stefan Schaefer , Thomas DeGrand

We perform hybrid Monte Carlo simulation of (2+1+1)-flavors lattice QCD with the optimal domain-wall fermion (which has the effective 4D Dirac operator exactly equal to the Zolotarev optimal rational approximation of the overlap Dirac…

高能物理 - 格点 · 物理学 2017-02-09 Yu-Chih Chen , Ting-Wai Chiu

We introduce the formulation of domain wall fermions in the context of lattice QCD. We prove the recovery of exact chiral symmetry in the limit of an infinite fifth direction, and derive the effective four-dimensional operator satisfying…

高能物理 - 格点 · 物理学 2026-05-19 Thomas Blum , Yigal Shamir

A new formulation of chiral fermions on the lattice is presented. It is a version of overlap fermions, but built from the computationally efficient staggered fermions rather than the previously used Wilson fermions. The construction reduces…

高能物理 - 格点 · 物理学 2011-05-18 David H. Adams

The inverse of the fermion matrix squared is used to define a transfer matrix for domain-wall fermions. When the domain-wall height $M$ is bigger than one, the transfer matrix is complex. Slowly suppressed chiral symmetry violations may…

高能物理 - 格点 · 物理学 2016-08-25 Yigal Shamir

We present preliminary results for the D_s meson spectroscopy study on the 2+1 flavour domain wall fermion lattice configurations, generated with the Iwasaki gauge action at beta=2.13 by the RBC-UKQCD collaboration. The simulations are on…

高能物理 - 格点 · 物理学 2008-11-26 Chris Allton , Chris Maynard , Aurora Trivini , Robert Tweedie

We discuss how to construct anomaly-free chiral gauge theories on the lattice with exact gauge invariance in the framework of domain wall fermion. Chiral gauge coupling is realized by introducing a five-dimensional gauge field which…

高能物理 - 格点 · 物理学 2009-11-07 Yoshio Kikukawa
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