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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…

High Energy Physics - Lattice · Physics 2009-10-30 Pavlos M. Vranas

We present numerical methods to solve the Generalized Hartree-Fock theory for fermionic systems in lattices, both in thermal equilibrium and out of equilibrium. Specifically, we show how to determine the covariance matrix corresponding to…

Quantum Physics · Physics 2013-04-10 Christina V. Kraus , J. Ignacio Cirac

We perform a study the quark-gluon vertex function with a quenched Wilson gauge action and a variety of fermion actions. These include the domain wall fermion action (with exponentially accurate chiral symmetry) and the Wilson clover action…

High Energy Physics - Lattice · Physics 2009-11-11 Huey-Wen Lin

We derive the effective action for a domain wall with small thickness in curved spacetime and show that, apart from the Nambu term, it includes a contribution proportional to the induced curvature. We then use this action to study the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 C. Barrabes , B. Boisseau , M. Sakellariadou

We present a new regularization method, for d dim (Euclidean) quantum field theories in the continuum formalism, based on the domain wall configuration in (1+d) dim space-time. It is inspired by the recent progress in the chiral fermions on…

High Energy Physics - Lattice · Physics 2011-04-15 Shoichi Ichinose

We describe a random matrix model suitable for the simulation of the eigenvalues of the Dirac operator on the lattice for Wilson fermions. We compare the obtained global eigenvalue spectrum for various values of the hopping parameter \kappa…

High Energy Physics - Phenomenology · Physics 2009-10-31 Holger Hehl , Andreas Schäfer

We study a variant of the Schwarz-preconditioned HMC algorithm. In contrast to the original proposal of L\"uscher, we apply the domain decomposition in one lattice direction only. This is sufficient to reduce the condition number of the…

High Energy Physics - Lattice · Physics 2008-11-26 Martin Hasenbusch

We have investigated a proposal to construct chiral gauge theories on the lattice using domain wall fermions. The model contains two opposite chirality zeromodes, which live on two domain walls. We couple only one of them to a gauge field,…

High Energy Physics - Lattice · Physics 2009-10-22 M. Golterman , K. Jansen , D. Petcher , J. Vink

In this article we describe a multi-layered honeycomb lattice model of interacting fermions which supports a new kind of parity-preserving skyrmion superfluidity. We derive the low-energy field theory describing a non-BCS fermionic…

Strongly Correlated Electrons · Physics 2015-06-22 Giandomenico Palumbo , Mauro Cirio

In ferromagnetic materials, the rich dynamics of magnetic domain walls (DWs) under magnetic field or current have been successfully described using the well-known q-{\phi} analytical model. We demonstrate here that this simple…

Materials Science · Physics 2021-02-03 Eloi Haltz , Sachin Krishnia , Léo Berges , Alexandra Mougin , João Sampaio

We present a multi-level algorithm for the solution of five dimensional chiral fermion formulations, including domain wall and Mobius Fermions. The algorithm operates on the red-black preconditioned Hermitian operator, and directly…

High Energy Physics - Lattice · Physics 2014-02-12 P A Boyle

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…

High Energy Physics - Lattice · Physics 2009-11-07 George T. Fleming , Pavlos M. Vranas

The domain wall fermion formalism in lattice gauge theory is much investigated recently. This is set up by reducing 4+1 dimensional theory to low energy effective 4 dimensional one. In order to look around other possibilities of realizing…

High Energy Physics - Lattice · Physics 2008-11-26 Keiichi Nagao

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…

High Energy Physics - Theory · Physics 2019-04-15 Subir Mukhopadhyay , Nishal Rai

We perform hybrid Monte Carlo simulation of (2+1+1)-flavors lattice QCD with the optimal domain-wall fermion (which has the effective 4D Dirac operator exactly equal to the Zolotarev optimal rational approximation of the overlap Dirac…

High Energy Physics - Lattice · Physics 2017-02-09 Yu-Chih Chen , Ting-Wai Chiu

We propose using a mobile magnetic domain wall as a host of zero-energy Majorana fermions in a spin-orbit coupled nanowire sandwiched by two ferromagnetic strips and deposited on an $s$-wave superconductor. The ability to control domain…

Mesoscale and Nanoscale Physics · Physics 2015-10-30 Se Kwon Kim , Sumanta Tewari , Yaroslav Tserkovnyak

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 physical…

High Energy Physics - Lattice · Physics 2009-10-31 Chulwoo Jung , Valeriya Gadiyak , Xiangdong Ji , Robert G. Edwards

We derive the effective action of the light fermion field of the domain-wall fermion, which is referred as $q(x)$ by Furman and Shamir. The inverse of the effective Dirac operator turns out to be identical to the inverse of the truncated…

High Energy Physics - Lattice · Physics 2015-06-25 Y. Kikukawa , T. Noguchi

We report on an ongoing calculation of hadronic matrix elements needed to parameterize K-Kbar mixing in generic BSM scenarios, using domain wall fermions (DWF) at two lattice spacings. Recent work by the SWME collaboration shows a…

High Energy Physics - Lattice · Physics 2013-11-05 A. T. Lytle , P. A. Boyle , N. Garron , R. J. Hudspith , C. T. Sachrajda

The reweighting method is applied to improve the chiral property of domain-wall fermions. One way to achieve this is to enlarge $L_s$, the size of fifth dimension, which controls the size of the induced chiral symmetry breaking. While this…

High Energy Physics - Lattice · Physics 2010-03-11 Tomomi Ishikawa , Yasumichi Aoki , Taku Izubuchi
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