Chiral anomalies and rooted staggered fermions
Abstract
A popular approximation in lattice gauge theory is an extrapolation in the number of fermion species away from the four fold degeneracy natural with the staggered fermion formulation. I show that the procedure mutilates the expected continuum holomorphic behavior in the quark masses. This is due to a chiral symmetry group that is of a higher rank than desired. The conventional resolution proposes canceling the unphysical singularities with a plethora of extra states appearing at finite lattice spacing. This unproven conjecture requires an explicit loss of unitarity and locality. Even if correct, the approach implies large cutoff effects in the lowenergy flavorneutral sector.
 Publication:

Physics Letters B
 Pub Date:
 May 2007
 DOI:
 10.1016/j.physletb.2007.03.065
 arXiv:
 arXiv:heplat/0701018
 Bibcode:
 2007PhLB..649..230C
 Keywords:

 11.15.Ha;
 11.30.Rd;
 12.38.Gc;
 12.39.Fe;
 Lattice gauge theory;
 Chiral symmetries;
 Lattice QCD calculations;
 Chiral Lagrangians;
 High Energy Physics  Lattice
 EPrint:
 10 pages, no figures