TY - JOUR

T1 - Localization properties of lattice fermions with plaquette and improved gauge actions

AU - Golterman, Maarten

AU - Shamir, Yigal

AU - Svetitsky, Benjamin

PY - 2005/8/1

Y1 - 2005/8/1

N2 - We determine the location λc of the mobility edge in the spectrum of the Hermitian Wilson operator in pure-gauge ensembles with plaquette, Iwasaki, and DBW2 gauge actions. The results allow mapping a portion of the (quenched) Aoki phase diagram. We use Green function techniques to study the localized and extended modes. Where λc>0 we characterize the localized modes in terms of an average support length and an average localization length, the latter determined from the asymptotic decay rate of the mode density. We argue that, since the overlap operator is commonly constructed from the Wilson operator, its range is set by the value of λc-1 for the Wilson operator. It follows from our numerical results that overlap simulations carried out with a cutoff of 1 GeV, even with improved gauge actions, could be afflicted by unphysical degrees of freedom as light as 250 MeV.

AB - We determine the location λc of the mobility edge in the spectrum of the Hermitian Wilson operator in pure-gauge ensembles with plaquette, Iwasaki, and DBW2 gauge actions. The results allow mapping a portion of the (quenched) Aoki phase diagram. We use Green function techniques to study the localized and extended modes. Where λc>0 we characterize the localized modes in terms of an average support length and an average localization length, the latter determined from the asymptotic decay rate of the mode density. We argue that, since the overlap operator is commonly constructed from the Wilson operator, its range is set by the value of λc-1 for the Wilson operator. It follows from our numerical results that overlap simulations carried out with a cutoff of 1 GeV, even with improved gauge actions, could be afflicted by unphysical degrees of freedom as light as 250 MeV.

UR - http://www.scopus.com/inward/record.url?scp=33749159460&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.72.034501

DO - 10.1103/PhysRevD.72.034501

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AN - SCOPUS:33749159460

SN - 1550-7998

VL - 72

SP - 1

EP - 19

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

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

IS - 3

M1 - 034501

ER -