Staggered fermions, zero modes, and flavorsinglet mesons
We examine the taste structure of eigenvectors of the staggeredfermion Dirac operator. We derive a set of conditions on the eigenvectors of modes with small eigenvalues (nearzero modes), such that staggered fermions reproduce the 't Hooft vertex in the continuum limit. We also show that, assuming these conditions, the correlators of flavorsinglet 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 staggeredfermion 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]}
 Univ. of Glasgow, Scotland (United Kingdom). SUPA
 Univ. of Zaragoza (Spain). Dept. of Theoretical Physics
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States). et al.
 Publication Date:
 Report Number(s):
 FERMILABPUB11305T
Journal ID: ISSN 15507998; arXiv eprint number arXiv:1106.2412; TRN: US1103374
 Grant/Contract Number:
 AC0207CH11359
 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 15507998
 Publisher:
 American Physical Society (APS)
 Research Org:
 Fermi National Accelerator Lab. (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
 OSTI Identifier:
 1018355
 Alternate Identifier(s):
 OSTI ID: 1100752
Donald, Gordon C, Davies, Christine T.H., Follana, Eduardo, and Kronfeld, Andreas S.. Staggered fermions, zero modes, and flavorsinglet mesons. United States: N. p.,
Web. doi:10.1103/PhysRevD.84.054504.
Donald, Gordon C, Davies, Christine T.H., Follana, Eduardo, & Kronfeld, Andreas S.. Staggered fermions, zero modes, and flavorsinglet mesons. United States. doi:10.1103/PhysRevD.84.054504.
Donald, Gordon C, Davies, Christine T.H., Follana, Eduardo, and Kronfeld, Andreas S.. 2011.
"Staggered fermions, zero modes, and flavorsinglet mesons". United States.
doi:10.1103/PhysRevD.84.054504. https://www.osti.gov/servlets/purl/1018355.
@article{osti_1018355,
title = {Staggered fermions, zero modes, and flavorsinglet mesons},
author = {Donald, Gordon C and Davies, Christine T.H. and Follana, Eduardo and Kronfeld, Andreas S.},
abstractNote = {We examine the taste structure of eigenvectors of the staggeredfermion Dirac operator. We derive a set of conditions on the eigenvectors of modes with small eigenvalues (nearzero modes), such that staggered fermions reproduce the 't Hooft vertex in the continuum limit. We also show that, assuming these conditions, the correlators of flavorsinglet 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 staggeredfermion 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.},
doi = {10.1103/PhysRevD.84.054504},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = ,
volume = ,
place = {United States},
year = {2011},
month = {9}
}