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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…

高能物理 - 格点 · 物理学 2023-01-09 Shoto Aoki , Hidenori Fukaya

We report the details of our ongoing quenched calculations of weak matrix elements using the combination of domain-wall fermions and the DBW2 gauge action on lattices with $a^{-1}\approx 3$ GeV. A strategy to avoid the problem of fixed…

高能物理 - 格点 · 物理学 2015-06-25 J. Noaki

We consider two-flavor QCD in the lattice regularization with improved Wilson fermions. In this formulation chiral symmetry is explicitly broken at order a and hence the isovector axial currents require improvement as well as a finite…

高能物理 - 格点 · 物理学 2007-05-23 Roland Hoffmann

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…

高能物理 - 格点 · 物理学 2014-06-10 Jian Liang , Ying Chen , Ming Gong , Long-Cheng Gui , Keh-Fei Liu , Zhaofeng Liu , Yi-Bo Yang

We present a formulation of domain wall fermions in the Schroedinger functional by following the universality argument given by L\"uscher. To check whether the formulation works, we examine the lowest eigenmode of the free domain wall…

高能物理 - 格点 · 物理学 2010-11-05 Shinji Takeda

The fermion determinant is a highly non-local object and its logarithm is an extensive quantity. For these reasons it is widely believed that the determinant cannot be treated in acceptance steps of gauge link configurations that differ in…

高能物理 - 格点 · 物理学 2011-12-09 Jacob Finkenrath , Francesco Knechtli , Björn Leder

We investigate the dispersion relation of M\"obius domain-wall fermions in free field theory at finite $L_s$. We find that there are $L_s-1$ extra poles of M\"obius domain-wall fermions in addition to the pole which realizes the physical…

高能物理 - 格点 · 物理学 2018-04-18 Masaaki Tomii

We introduce a systematic method to derive the effective action for domain walls directly from the scalar field theory that gives rise to their solitonic solutions. The effective action for the Goldstone mode, which characterizes the…

Domain walls between different topological phases are one of the most interesting phenomena that reveal the non-trivial bulk properties of topological phases. Very recently, gapped domain walls between different topological phases have been…

强关联电子 · 物理学 2022-05-19 Chenfeng Bao , Shuo Yang , Chenjie Wang , Zheng-Cheng Gu

We have carried out a numerical simulation of a domain-wall model in $(2+1)$-dimensions, in the presence of a dynamical gauge field only in an extra dimension, corresponding to the weak coupling limit of a ( 2-dimensional ) physical gauge…

高能物理 - 格点 · 物理学 2009-10-28 S. Aoki , K. Nagai

We give a progress report of our new $a^{-1}\approx 3$ GeV quenched calculation of kaon matrix elements with domain-wall fermion and DBW2 gauge action. Our smaller lattice spacing allows us to address the effect of charmed quark on the…

高能物理 - 格点 · 物理学 2009-11-10 Junichi Noaki , RBC Collaboration

Quantum field theories underlie all of our understanding of the fundamental forces of nature. The are relatively few first principles approaches to the study of quantum field theories [such as quantum chromodynamics (QCD) relevant to the…

高能物理 - 格点 · 物理学 2010-03-04 F. D. R. Bonnet , Derek B. Leinweber , Anthony G. Williams

Lattice simulations of Quantum Chromodynamics (QCD) enable one to calculate the low-energy properties of the strong interaction among quarks and gluons based on the first principle. The most time-consuming part of the numerical simulations…

高能物理 - 格点 · 物理学 2026-02-17 Wei-Lun Chen , Issaku Kanamori , Hideo Matsufuru , Hartmut Neff

We investigate the origin and behavior of oscillations observed in the hadron correlators constructed from the domain wall fermion (DWF) for different parameters involved in lattice QCD simulations. This oscillatory behavior at early time…

高能物理 - 格点 · 物理学 2016-03-07 Raza Sabbir Sufian , Michael J. Glatzmaier , Yi-Bo Yang

We report on a sub-percent scale determination using the omega baryon mass and gradient-flow methods. The calculations are performed on 22 ensembles of $N_f=2+1+1$ highly improved, rooted staggered sea-quark configurations generated by the…

We present results for the b \bar b spectrum obtained using an O(M_bv^6)-correct non-relativistic lattice QCD action, where M_b denotes the bare b-quark mass and v^2 is the mean squared quark velocity. Propagators are evaluated on SESAM's…

高能物理 - 格点 · 物理学 2009-10-30 N. Eicker , J. Fingberg , S. Güsken , H. Hoeber , Th. Lippert , K. Schilling , A. Spitz , J. Viehoff

Domain Wall Fermions utilize an extra space time dimension to provide a method for restoring the regularization induced chiral symmetry breaking in lattice vector gauge theories even at finite lattice spacing. The breaking is restored at an…

高能物理 - 格点 · 物理学 2009-10-30 Pavlos M. Vranas

We investigate a chiral property of the domain-wall fermion (DWF) system using the four-dimensional hermitian Wilson-Dirac operator $H_W$. A formula expressing the Ward-Takahashi identity quark mass $m_{5q}$ with eigenvalues of this…

In this talk I will emphasize the role of the Truncated Overlap Fermions in showing the equivalence between the Domain Wall and Overlap Fermions up to an irrelevant factor in the fermionic integration measure. I will also show how Domain…

高能物理 - 格点 · 物理学 2007-05-23 Artan Borici

We present the leading order mixed-action effect $\Delta_{\rm mix}\equiv m_{\pi,{\rm vs}}^2-\frac{m_{\pi,{\rm vv}}^2+m_{\pi,{\rm ss}}^2}{2}$ using HISQ, clover or overlap valence fermion actions on gauge ensembles using various sea fermion…

高能物理 - 格点 · 物理学 2023-05-10 Dian-Jun Zhao , Gen Wang , Fangcheng He , Luchang Jin , Peng Sun , Yi-Bo Yang , Kuan Zhang