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We present results from simulations of two flavor QCD thermodynamics at N_t=4 with domain wall fermions. In contrast to other lattice fermion formulations, domain wall fermions preserve the full chiral symmetry of the continuum at finite…

High Energy Physics - Phenomenology · Physics 2009-10-31 George T. Fleming

We apply strong-coupling perturbation theory to gauge theories containing domain-wall fermions in Shamir's surface version. We construct the effective Hamiltonian for the color-singlet degrees of freedom that constitute the low-lying…

High Energy Physics - Lattice · Physics 2009-10-31 Richard C. Brower , Benjamin Svetitsky

We report on studies of the chiral properties of dynamical domain wall fermions combined with the DBW2 gauge action for different gauge couplings and fermion masses. For quenched theories, the DBW2 action gives a residual chiral symmetry…

High Energy Physics - Lattice · Physics 2010-11-15 L. Levkova , R. Mawhinney

We carry out a numerical simulation of a domain-wall model in (4+1) dimensions, in the presence of a quenched U(1) dynamical gauge field only in an extra dimension, corresponding to the weak coupling limit of a (4-dimensional) physical…

High Energy Physics - Lattice · Physics 2009-10-28 S. Aoki , K. Nagai

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…

High Energy Physics - Lattice · Physics 2011-04-11 Richard C. Brower , Hartmut Neff , Kostas Orginos

We consider Kaplan's domain wall fermions in the presence of an Anti-de Sitter (AdS) background in the extra dimension. Just as in the flat space case, in a completely vector-like gauge theory defined after discretizing this extra…

High Energy Physics - Lattice · Physics 2009-09-17 Tanmoy Bhattacharya , Csaba Csaki , Matthew R. Martin , Yuri Shirman , John Terning

We study a parameter optimization of domain-wall fermions to improve chiral symmetry based on machine learning. Domain-wall fermions involve coefficients along the fifth dimension, which can be treated as trainable parameters to reduce the…

High Energy Physics - Lattice · Physics 2026-03-18 Shunsuke Yasunaga , Kenta Yoshimura , Akio Tomiya , Yuki Nagai

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…

High Energy Physics - Lattice · Physics 2009-11-07 Yoshio Kikukawa

A magnetic field applied to a cross linked ladder compound can generate isolated electronic states bound to the ends of the chain. After exploring the interference phenomena responsible, I discuss a connection to the domain wall approach to…

High Energy Physics - Lattice · Physics 2009-10-31 Michael Creutz

We construct domain wall fermions with a staggered kernel and investigate their spectral and chiral properties numerically in the Schwinger model. In some relevant cases we see an improvement of chirality by more than an order of magnitude…

High Energy Physics - Lattice · Physics 2016-12-21 Christian Hoelbling , Christian Zielinski

In the domain wall fermion formulation, chiral symmetry breaking in full QCD is expected to fall exponentially with the length of the extra dimension. We measure the chiral symmetry breaking due to a finite extra dimension in two ways,…

High Energy Physics - Lattice · Physics 2015-06-25 George R. Fleming

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…

High Energy Physics - Lattice · Physics 2026-05-19 Thomas Blum , Yigal Shamir

We consider interactions of fermions with the domain wall bubbles produced during a first order phase transition. A new exact solution of the Dirac equations is obtained for a wall profile incorporating a position dependent phase factor.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Emilio Torrente-Lujan

The chiral fermion model with local multifermion interactions proposed in Nucl. Phys. B486 (1997) 282 and Phys. Rev. D61 (2000) 054502 processes an exact SU_L(2) chiral gauge symmetry and SU_L(2) by U_R(1) chiral flavour symmetry on a…

High Energy Physics - Lattice · Physics 2009-10-31 She-Sheng Xue

Domain wall fermions are a new lattice fermion formulation which preserves the full chiral symmetry of the continuum at finite lattice spacing, up to terms exponentially small in an extra parameter. We discuss the main features of the…

High Energy Physics - Lattice · Physics 2007-05-23 George Tamminga Fleming

We consider a spinor domain wall embedded in a five-dimensional spacetime with a nondiagonal metric. The corresponding plane symmetric solutions for linear and nonlinear spinor fields with different parameters are obtained. It is shown that…

General Relativity and Quantum Cosmology · Physics 2023-07-31 Vladimir Dzhunushaliev , Vladimir Folomeev , Dina Zholdakhmet

We consider a Dirac field in 2+1 dimensions with a domain wall like defect in its mass, minimally coupled to a dynamical Abelian vector field. The mass of the fermionic field is assumed to have just one linear domain wall, which is…

High Energy Physics - Theory · Physics 2009-11-07 L. Da Rold , C. D. Fosco , A. Lopez

We investigate the properties of domain wall fermions on a set of quenched configurations at non-zero temperature. In particular, we compute the low lying eigenvalues of the DWF operator and study their relation with topology, level…

High Energy Physics - Lattice · Physics 2014-11-17 J. -F. Lagae , D. K. Sinclair

Dirac fermions coupled to gauge fields can exhibit the chiral anomaly even on a finite spatial lattice. A careful description of this phenomenon yields new insights into the nature of spin-charge relations and on-site symmetries (symmetries…

High Energy Physics - Theory · Physics 2018-11-16 Djordje Radicevic

In this paper we address the problem of localizing fermion states on stable domain walls junctions. The study focus on the consequences of intersecting six independent 8d domain walls to form 4d junctions in a ten-dimensional spacetime.…

High Energy Physics - Theory · Physics 2009-12-07 D. Bazeia , F. A. Brito , R. C. Fonseca