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Mobius Fermions: Improved Domain Wall Chiral Fermions

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arxiv hep-lat/0409118 v1 pith:KGLN6OEN submitted 2004-09-19 hep-lat

classification hep-lat
keywords fermionschiralclassdomainnumberwallwilsonapplications
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abstract

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 Wilson kernel. Simulations on quenched Wilson lattices with $\beta = 6.0$ show that the number of lattice sites ($L_s$) in the fifth dimension can be reduced by a factor of 2 or more at fixed value of chiral symmetry violations measured by the residual mass ($m_{res}$).

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Cited by 1 Pith paper

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  1. Perturbative quantum electrodynamics with generalized domain wall fermions

    hep-lat 2026-07 conditional novelty 6.0 of 10

    For generalized domain-wall fermions, the O(e^2) electromagnetic expansion requires new local seagull and anti-quark contact vertices, derived here for the first time.

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