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We investigate chiral properties of the domain-wall fermion (DWF) system. After a brief introduction for the DWF, we summarize the recent numerical results on the chiral properties of the domain-wall QCD (DWQCD), which seem mutually…

High Energy Physics - Lattice · Physics 2009-11-07 Sinya Aoki

We derive the effective Lagrangian for mesons in lattice gauge theory with domain-wall fermions in the strong-coupling and large-N_c limits. We use the formalism of supergroups to deal with the Pauli-Villars fields, needed to regulate the…

High Energy Physics - Lattice · Physics 2009-11-07 Federico Berruto , Richard C. Brower , Benjamin Svetitsky

I discretize axion string configuration coupled to a Dirac fermion, which in the continuum binds a massless chiral fermion in its core when the winding is one. I show that such a configuration can host one or more chiral fermions when…

High Energy Physics - Theory · Physics 2023-01-25 Srimoyee Sen

We discuss a self-consistent solution for a fermion coupled to static scalar field in the form of a kink (domain wall). In particular, we study the case when the fermion occupies an excited non-zero frequency level in the presence of the…

High Energy Physics - Theory · Physics 2017-01-04 V. A. Gani , V. G. Ksenzov , A. E. Kudryavtsev

Perturbation theory for lattice fermions with domain wall mass terms is developed and is applied to investigate the chiral Schwinger model formulated on the lattice by Kaplan's method. We calculate the effective action for gauge fields to…

High Energy Physics - Lattice · Physics 2009-10-22 S. Aoki , H. Hirose

We study the effective quark mass induced by the finite separation of the domain walls in the domain-wall formulation of chiral fermion as the function of the size of the fifth dimension ($L_s$), the gauge coupling ($\beta$) and the…

High Energy Physics - Lattice · Physics 2008-11-26 Chulwoo Jung , Robert G. Edwards , Xiangdong Ji , Valeriya Gadiyak

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…

High Energy Physics - Lattice · Physics 2017-08-23 Shoichi Sasaki

We propose a regularization of four dimensional chiral gauge theories using six-dimensional Dirac fermions. In our formulation, we consider two different mass terms having domain-wall profiles in the fifth and the sixth directions,…

High Energy Physics - Theory · Physics 2019-12-06 Hidenori Fukaya , Tetsuya Onogi , Shota Yamamoto , Ryo Yamamura

In Kaluza-Klein theory, gauge fields on $M_4$ arise as components of a higher-dimensional metric defined on $M_4 \times K$. The traditional expectation is that all the gauge fields of the Standard Model are linked to exact Killing vector…

High Energy Physics - Theory · Physics 2026-05-20 Joao Baptista

We investigate a single spherical domain-wall embedded in a three-dimensional Euclidean lattice. We employ the Shamir-type domain-wall fermion formulation, where the negative mass region is confined inside the $S^2$ domain-wall, while the…

High Energy Physics - Lattice · Physics 2025-02-06 Shoto Aoki , Hidenori Fukaya , Naoto Kan

We present a class of models in which dark matter (DM) is a fermionic singlet under the Standard Model (SM) gauge group but is charged under a symmetry of flavour that acts as well on the SM fermions. Interactions between DM and SM…

High Energy Physics - Phenomenology · Physics 2015-07-22 Lorenzo Calibbi , Andreas Crivellin , Bryan Zaldivar

We examine the chiral limit of domain wall fermions in quenched QCD. One expects that in a quenched simulation, exact fermion zero modes will give a divergent, 1/m behavior in the chiral condensate for sufficiently small valence quark…

Massless fermions on scalar domain walls are considered. Two walls are established, corresponding to 5-dimensional static spacetime asymptotically Anti de-Sitter, differentiated by the symmetry around the wall, and in each case massless…

High Energy Physics - Theory · Physics 2019-08-05 Rommel Guerrero , R. Omar Rodriguez , Francisco Carreras

The smallness and hierarchy of the fermion parameters could be explained in theories with extra dimensions where doublets and singlets are localized at slightly separated points. Scattering cross sections for collisions of such fermions…

High Energy Physics - Phenomenology · Physics 2015-06-25 Yuval Grossman

We follow up on a suggestion by Adams and construct explicit domain wall fermion operators with staggered kernels. We compare different domain wall formulations, namely the standard construction as well as Borici's modified and Chiu's…

High Energy Physics - Lattice · Physics 2016-07-06 Christian Hoelbling , Christian Zielinski

The response to a magnetic flux is considered of the vacuum state of charged Dirac fermions interacting with a domain wall made of a neutral spinless field in (3+1) dimensions with the fermion mass having a phase variation across the wall.…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. B. Voloshin

We investigate a possibility that the rough gauge problem, which have appeared to be a main reason for failures of lattice chiral gauge theories, is cured by an asymptotic-free dynamics. Taking the domain-wall model in 2(+1) dimensions with…

High Energy Physics - Lattice · Physics 2009-10-30 S. Aoki , K. Nagai

We show how the standard domain wall action can be simply modified to allow arbitrarily exact chiral symmetry at finite fifth dimensional extent. We note that the method can be used for both quenched and dynamical calculations. We test the…

High Energy Physics - Lattice · Physics 2014-11-17 R. G. Edwards , U. M. Heller

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,…

High Energy Physics - Theory · Physics 2009-10-09 J. Polchinski , L. Thorlacius

We propose a nonperturbative gauge invariant regulator for d-dimensional chiral gauge theories on the lattice. The method involves simulating domain wall fermions in d + 1 dimensions with quantum gauge fields that reside on one…

High Energy Physics - Lattice · Physics 2016-06-23 Dorota M. Grabowska , David B. Kaplan
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