Localization with overlap fermions

نویسندگان
چکیده

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Continuum physics with overlap fermions

We calculate mud =(mu+md)/2, ms, fπ and fK in the quenched continuum limit with UV-filtered overlap fermions. We see rather small scaling violations on lattices as coarse as a ≃ 1GeV and conjecture that similar advantages would be manifest in unquenched studies.

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Numerical evaluation of the overlap Dirac operator is difficult since it contains the sign function e(Hw) of the Hermitian Wilson-Dirac operator Hw with a negative mass term. The problems are due to Hw having very small eigenvalues on the equilibrium background configurations generated in current day Monte Carlo simulations. Since these are a consequence of the lattice discretization and do not...

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UV-filtered overlap fermions

We discuss the kernel spectrum, locality properties and the axial-vector renormalization constant of UV-filtered overlap fermions. We find that UV-filtered overlap fermions have a better conditioned kernel, better locality and an axial-vector renormalization constant closer to 1 than their unfiltered counterparts, even if the shift parameter ρ is simply set to 1.

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ژورنال

عنوان ژورنال: Physical Review D

سال: 2020

ISSN: 2470-0010,2470-0029

DOI: 10.1103/physrevd.101.094511