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We consider interactions of fermions with the domain wall bubbles produced during the first order phase transitions. New exact solution of Dirac equations and reflection coefficient are obtained.

高能物理 - 唯象学 · 物理学 2007-05-23 Andro Barnaveli , Merab Gogberashvili

We present a formulation of domain-wall fermions in the Schr\"odinger functional by following a universality argument. To examine the formulation, we numerically investigate the spectrum of the free operator and perform a one-loop analysis…

高能物理 - 格点 · 物理学 2013-06-19 Shinji Takeda

The approximation for the NJL gap equation that was developed in our previous paper allows us to investigate vacuum inhomogeneities in the mean field approach. The simplest case of a domain wall is studied thoroughly. The Jackiw-Rebbi…

高能物理 - 理论 · 物理学 2011-07-12 Sergii Kutnii

A different lattice fermion method is introduced. Staggered domain wall fermions are defined in 2n+1 dimensions and describe 2^n flavors of light lattice fermions with exact U(1) x U(1) chiral symmetry in 2n dimensions. As the size of the…

高能物理 - 格点 · 物理学 2009-11-07 George T. Fleming , Pavlos M. Vranas

We study fermionic fields localized on topologically unstable domain walls bounded by strings in a grand unified theory theoretical framework. Particularly, we found that the localized fermionic degrees of freedom, which are up and down…

高能物理 - 理论 · 物理学 2015-06-16 V. K. Oikonomou

We present lattice calculations of kaon matrix elements with domain wall fermions. Using lattices with beta=5.85, 6.0, and 6.3, we estimate B_K(approx 2 GeV)=0.628(47) in quenched QCD which is consistent with previous calculations. At…

高能物理 - 格点 · 物理学 2009-10-30 T. Blum , A. Soni

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 compute non-perturbatively the renormalization coefficients of scalar and pseudoscalar operators, local vector and axial currents, conserved vector and axial currents, and $O^{\Delta S=2}_{LL}$ over a wide range of energy scales using a…

高能物理 - 格点 · 物理学 2009-10-31 Yuriy Zhestkov

We construct a domain wall solution in $F(R)$ gravity. We reconstruct a static domain wall solution in a scalar field theory. We also reconstruct an explicit $F(R)$ gravity model in which a static domain wall solution can be realized.…

高能物理 - 理论 · 物理学 2013-05-30 Kazuharu Bamba , Shin'ichi Nojiri , Sergei D. Odintsov

We employ the domain wall fermion (DWF) formulation of the Thirring model on a lattice in 2+1+1 dimensions and perform $N=1$ flavor Monte Carlo simulations. At a critical interaction strength the model features a spontaneous…

高能物理 - 格点 · 物理学 2023-01-05 Simon Hands , Johann Ostmeyer

The domain wall formulation of lattice fermions is expected to support accurate chiral symmetry, even at finite lattice spacing. Here we attempt to use this new fermion formulation to simulate two-flavor, finite temperature QCD near the…

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

The domain wall fermion formulation exhibits full chiral symmetry for finite lattice spacing except for the effects of mixing between the domain walls. Close to the continuum limit these symmetry breaking effects should be described by a…

高能物理 - 格点 · 物理学 2016-09-01 Lingling Wu

The intersection of two ferromagnetic domain walls placed on the surface of topological insulators provides a one-way beam splitter for domain-wall Dirac fermions. Based on an analytic expression for a static two-soliton magnetic texture we…

介观与纳米尺度物理 · 物理学 2014-01-17 René Hammer , Walter Pötz

Domain wall fermions (DWF) are a new fermion discretization scheme with greatly improved chiral symmetry. Our final goal is to study the nucleon spin structure through lattice simulation using DWF. In this paper, we present our current…

高能物理 - 格点 · 物理学 2017-08-23 Shoichi Sasaki

Using domain wall fermions, we estimate $B_K(\mu\approx 2 GeV)=0.628(47)$ in quenched QCD which is consistent with previous calculations. At $\gbeta=6.0$ and 5.85 we find the ratio $f_K/m_\rho$ in agreement with the experimental value,…

高能物理 - 格点 · 物理学 2009-10-30 T. Blum , A. Soni Brookhaven National Lab

An alternative to commonly used domain wall fermions is presented. Some rigorous bounds on the condition number of the associated linear problem are derived. On the basis of these bounds and some experimentation it is argued that domain…

高能物理 - 格点 · 物理学 2009-11-07 H. Neuberger

Domain walls between spatially periodic patterns with different wave numbers, can arise in pattern-forming systems with a neutral curve that has a double minimum. Within the framework of the phase equation, the interaction of such walls is…

patt-sol · 物理学 2008-02-03 David Raitt , Hermann Riecke

The analysis of domain wall dynamics is often simplified to one dimensional physics. For domain walls in thin films, more realistic approaches require the description as two dimensional objects. This includes the study of vortices and…

介观与纳米尺度物理 · 物理学 2018-04-25 Davi R. Rodrigues , Ar. Abanov , J. Sinova , K. Everschor-Sitte

We consider the (2n+1)-dimensional euclidean Dirac operator with a mass term that looks like a domain wall, recently proposed by Kaplan to describe chiral fermions in $2n$ dimensions. In the continuum case we show that the euclidean…

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

In perturbation theory, the wave function of domain-wall quarks decreases exponentially with the fifth coordinate. We show that, regardless of the quark's own momentum, the fall-off rate of the one-loop wave function is equal to the slowest…

高能物理 - 格点 · 物理学 2009-10-31 Yigal Shamir