New Ways to Determine Low-Energy Constants with Wilson Fermions

Poul Henrik Damgaard; U.M. Heller; Kim Splittorff

doi:10.1103/PhysRevD.86.094502

New Ways to Determine Low-Energy Constants with Wilson Fermions

Poul Henrik Damgaard, U.M. Heller, Kim Splittorff

Theoretical high energy, astroparticle and gravitational physics

14 Citations (Scopus)

Abstract

We show how the leading physical and Wilson low-energy constants associated with Wilson fermions in lattice gauge theory can be determined individually by using spectral information of the Wilson Dirac operator with fixed index at finite volume. The methods are demonstrated in simulations with leading-order improved Wilson fermions. In addition to the expected suppression of the leading term in Wilson chiral perturbation theory we observe a substantial reduction also of the higher-order Wilson low-energy constants.

Original language	English
Journal	Physical Review D (Particles, Fields, Gravitation and Cosmology)
Volume	86
Issue number	9
Pages (from-to)	094502
Number of pages	8
ISSN	1550-7998
DOIs	https://doi.org/10.1103/PhysRevD.86.094502
Publication status	Published - 5 Nov 2012

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title = "New Ways to Determine Low-Energy Constants with Wilson Fermions",

abstract = "We show how the leading physical and Wilson low-energy constants associated with Wilson fermions in lattice gauge theory can be determined individually by using spectral information of the Wilson Dirac operator with fixed index at finite volume. The methods are demonstrated in simulations with leading-order improved Wilson fermions. In addition to the expected suppression of the leading term in Wilson chiral perturbation theory we observe a substantial reduction also of the higher-order Wilson low-energy constants.",

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AU - Splittorff, Kim

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N2 - We show how the leading physical and Wilson low-energy constants associated with Wilson fermions in lattice gauge theory can be determined individually by using spectral information of the Wilson Dirac operator with fixed index at finite volume. The methods are demonstrated in simulations with leading-order improved Wilson fermions. In addition to the expected suppression of the leading term in Wilson chiral perturbation theory we observe a substantial reduction also of the higher-order Wilson low-energy constants.

AB - We show how the leading physical and Wilson low-energy constants associated with Wilson fermions in lattice gauge theory can be determined individually by using spectral information of the Wilson Dirac operator with fixed index at finite volume. The methods are demonstrated in simulations with leading-order improved Wilson fermions. In addition to the expected suppression of the leading term in Wilson chiral perturbation theory we observe a substantial reduction also of the higher-order Wilson low-energy constants.

U2 - 10.1103/PhysRevD.86.094502

DO - 10.1103/PhysRevD.86.094502

M3 - Journal article

SN - 1550-7998

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JO - Physical Review D (Particles, Fields, Gravitation and Cosmology)

JF - Physical Review D (Particles, Fields, Gravitation and Cosmology)

IS - 9

ER -

New Ways to Determine Low-Energy Constants with Wilson Fermions

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