Staggered fermions, zero modes, and flavor-singlet mesons

Donald, G.C., Davies, C.T.H. , Follana, E. and Kronfeld, A.S. (2011) Staggered fermions, zero modes, and flavor-singlet mesons. Physical Review D, 84(5), 054504. (doi: 10.1103/PhysRevD.84.054504)

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Abstract

We examine the taste structure of eigenvectors of the staggered-fermion Dirac operator. We derive a set of conditions on the eigenvectors of modes with small eigenvalues (near-zero modes), such that staggered fermions reproduce the ’t Hooft vertex in the continuum limit. We also show that, assuming these conditions, the correlators of flavor-singlet mesons are free of contributions singular in 1/m, where m is the quark mass. This conclusion holds also when a single flavor of sea quark is represented by the fourth root of the staggered-fermion determinant. We then test numerically, using the highly improved staggered-quark action, whether these conditions hold on realistic lattice gauge fields. We find that the needed structure does indeed emerge.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Follana, Dr Eduardo and Davies, Professor Christine
Authors: Donald, G.C., Davies, C.T.H., Follana, E., and Kronfeld, A.S.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review D
Publisher:American Physical Society
ISSN:1550-7998
Published Online:12 September 2011

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