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The domain wall approach to lattice fermions employs an additional dimension, in which gauge fields are merely replicated, to separate the chiral components of a Dirac fermion. It is known that in the limit of infinite separation in this…

高能物理 - 格点 · 物理学 2009-10-31 P. Chen , N. Christ , G. Fleming , A. Kaehler , C. Malureanu , R. Mawhinney , C. Sui , P. Vranas , Y. Zhestkov

We study a model of free fermions on a chain with dynamics generated by random unitary gates acting on nearest neighbor bonds and present an exact calculation of time-ordered and out-of-time-ordered correlators. We consider three distinct…

强关联电子 · 物理学 2021-02-22 Beatriz C. Dias , Masudul Haque , Pedro Ribeiro , Paul McClarty

The theory of a massless two-dimensional scalar field with a periodic boundary interaction is considered. At a critical value of the period this system defines a conformal field theory and can be re-expressed in terms of free fermions,…

高能物理 - 理论 · 物理学 2009-10-09 J. Polchinski , L. Thorlacius

We present an update on the study of the QCD phase transition with 3 flavors of M\"obius domain wall fermions at zero baryon density. We performed simulations on lattices of size $36^3\times12\times16$ and $24^3\times12\times32$ with a…

高能物理 - 格点 · 物理学 2024-01-11 Yu Zhang , Yasumichi Aoki , Shoji Hashimoto , Issaku Kanamori , Takashi Kaneko , Yoshifumi Nakamura

We consider the entanglement properties of free fermions in one dimension and review an approach which relates the problem to the solution of a certain differential equation. The single-particle eigenfunctions of the entanglement…

统计力学 · 物理学 2015-06-15 Viktor Eisler , Ingo Peschel

We study fermions in a domain wall backgrounds in five dimensional supergravity, which is similar to zero temperature limit of holographic superconductor. We find the fermionic operators for small charges in the dual four dimensional theory…

高能物理 - 理论 · 物理学 2019-04-15 Subir Mukhopadhyay , Nishal Rai

A new class of domain wall fermions is defined that interpolates between Shamir's and Bori\c{c}i's form without increasing the number of Dirac applications per CG iteration. This class represents a full (real) M\"obius transformation of the…

高能物理 - 格点 · 物理学 2011-04-11 Richard C. Brower , Hartmut Neff , Kostas Orginos

We calculate one loop corrections to the domain-wall quark propagator in QCD. We show how the wave function is renormalized in this theory. Especially we are interested in the behavior of the massless fermion mode, which exists near the…

高能物理 - 格点 · 物理学 2009-10-30 S. Aoki , Y. Taniguchi

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

We study thermal transitions in a Domain Wall AdS/QCD model. The model is based on the D5/probe D7 system with a discontinuous mass profile which restricts chiral fermions to 3+1 dimensional domain walls. Fluctuations on the domain wall are…

高能物理 - 理论 · 物理学 2022-11-17 Nick Evans , Jack Mitchell

We investigate the axial $U(1)$ symmetry restoration at finite temperature in two flavor QCD. We employ the M\"obius domain-wall formalism that is designed to achieve good chiral symmetry. We show the measurements of a difference of meson…

高能物理 - 格点 · 物理学 2014-12-19 JLQCD Collaboration , Guido Cossu , Hidenori Fukaya , Shoji Hashimoto , Takashi Kaneko , Jun-ichi Noaki , Akio Tomiya

Domain-wall Fermions represent a recent lattice approach to chiral symmetry that is receiving considerable attention. The method is presented in a somewhat unconventional manner, in terms of a ladder molecule subjected to a magnetic field.…

高能物理 - 格点 · 物理学 2007-05-23 Michael Creutz

We report on the progress of understanding spatial correlation functions in high temperature QCD. We study isovector meson operators in $N_f=2$ QCD using domain-wall fermions on lattices of $N_s=32$ and different quark masses. It has…

高能物理 - 格点 · 物理学 2018-10-08 C. Rohrhofer , Y. Aoki , G. Cossu , L. Ya. Glozman , S. Hashimoto , S. Prelovsek

We are using domain wall fermions to study $K \to \pi \pi$ matrix elements by measuring $K \to \pi$ and $K \to 0$ matrix elements on the lattice and employing chiral perturbation theory to relate these to the desired physical result. The…

高能物理 - 格点 · 物理学 2009-10-31 Robert D. Mawhinney

The overlap fermion propagator is calculated on 2+1 flavor domain wall fermion gauge configurations on 16^3 x 32, 24^3 x 64 and 32^3 x 64 lattices. With HYP smearing and low eigenmode deflation, it is shown that the inversion of the overlap…

高能物理 - 格点 · 物理学 2010-12-23 A. Li , A. Alexandru , Y. Chen , T. Doi , S. J. Dong , T. Draper , M. Gong , A. Hasenfratz , I. Horvath , F. X. Lee , K. F. Liu , N. Mathur , T. Streuer , J. B. Zhang

In the past year domain wall fermion simulations have moved from exploratory stages to the point where systematic effects can be studied with different gauge couplings, volumes, and lengths in the fifth dimension. Results are presented here…

高能物理 - 格点 · 物理学 2009-10-31 Matthew Wingate

We investigate the motion of fermions in the presence of an electro\-weak phase transition bubble wall. We derive and solve the Dirac equation for such fer\-mions, and compute the transmission and reflection coefficients for fermions…

高能物理 - 唯象学 · 物理学 2009-10-22 Alejandro Ayala , Jamal Jalilian--Marian , Larry McLerran , Axel P. Vischer

We construct positive-definite pseudofermion actions for one fermion flavor in lattice field theory, for Wilson and domain-wall fermions respectively. The positive definiteness of these actions ensures that they can be simulated with the…

高能物理 - 格点 · 物理学 2019-08-13 Kenji Ogawa , Ting-Wai Chiu , Tung-Han Hsieh

We report meson spectra obtained by using valence overlap fermion propagators generated on a background of 2+1 flavor domain wall fermion gauge configurations on 16^3 X 32, 24^3 X 64 and 32^3 X 64 lattices. We use many-to-all correlators…

高能物理 - 格点 · 物理学 2011-07-08 N. Mathur , A. Alexandru , Y. Chen , T. Doi , S. J. Dong , T. Draper , M. Gong , F. X. Lee , A. Li , K. -F. Liu , T. Streuer , J. B. Zhang

We construct a new holographic description of QCD using domain wall fermions. The construction consists of probe D7 branes in a D5 brane geometry describing quarks on a 4+1d defect in a 5+1d gauge theory. We then compactify one dimension of…

高能物理 - 理论 · 物理学 2021-11-24 Nick Evans , Jack Mitchell