The 't Hooft vertex for staggered fermions and flavor-singlet mesons

Conference · Sat Jan 01 00:00:00 EST 2011 · PoS

OSTI ID:1423264

Donald, Gordon C. ^[1]; Davies, Christine T.H. ^[1]; Follana, Eduardo ^[2]; Kronfeld, Andreas S. ^[3]

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1. Glasgow U.
2. Zaragoza U.
3. Fermilab

We derive the ’t Hooft vertex for staggered fermions and examine its symmetries for nonzero lattice spacing. We also derive a set of structural properties for the eigenvectors of the staggered Dirac operator, which should emerge in the continuum limit, if staggered fermions yield four species. This property also is needed for flavor-taste-singlet correlators to behave correctly. We then test numerically whether the needed structure arises: it does. This structure and symmetry of (unrooted) staggered fermions also imply that Creutz’s (latest) objections to the rooted determinant are without foundation.

• Research Organization: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• DOE Contract Number: AC02-07CH11359
• OSTI ID: 1423264
• Report Number(s): FERMILAB-CONF-11-855-T; 1120556
• Journal Information: PoS, Vol. LATTICE2011; Conference: 29th International Symposium on Lattice Field Theory, Squaw Valley, Lake Tahoe, California, 07/10-07/16/2011
• Country of Publication: United States
• Language: English