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Title: Staggered fermions, zero modes, and flavor-singlet mesons

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 HISQ action, whether these conditions hold on realistic lattice gauge fields. We find that the needed structure does indeed emerge.
Authors:
 [1] ;  [1] ;  [2] ;  [3]
  1. Univ. of Glasgow, Scotland (United Kingdom). SUPA
  2. Univ. of Zaragoza (Spain). Dept. of Theoretical Physics
  3. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States). et al.
Publication Date:
OSTI Identifier:
1018355
Report Number(s):
FERMILAB-PUB--11-305-T
Journal ID: ISSN 1550-7998; arXiv eprint number arXiv:1106.2412; TRN: US1103374
Grant/Contract Number:
AC02-07CH11359
Type:
Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Research Org:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Contributing Orgs:
HPQCD and Fermilab Lattice Collaborations
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DIRAC OPERATORS; EIGENVALUES; EIGENVECTORS; FERMIONS; MESONS; QUARKS; SEAS Lattice