Power-counting theorem for staggered fermions

Abstract

Lattice power-counting is extended to QCD with staggered fermions. As preparation, the difficulties encountered by Reisz's original formulation of the lattice power-counting theorem are illustrated. One of the assumptions that is used in his proof does not hold for staggered fermions, as was pointed out long ago by Luscher. Finally, I generalize the power-counting theorem, and the methods of Reisz's proof, such that the difficulties posed by staggered fermions are overcome.

29 pages, added 2 figures, one more example, clarifying remarks and one reference; misstatement regarding irrelevant vertices corrected

References in corpus (7)

• High-Precision Lattice QCD Confronts Experiment
• Actions for dynamical fermion simulations: are we ready to go?
• Perturbative Corrections for Staggered Fermion Bilinears
• Less naive about supersymmetric lattice quantum mechanics
• Perturbative Corrections for Staggered Four-Fermion Operators
• Testing universality and the fractional power prescription for the staggered fermion determinant
• Renormalization of Matter Field Theories on the Lattice and the Flow Equation

Cited by in corpus (10)

• $B$- and $D$-meson leptonic decay constants from four-flavor lattice QCD
• Light Hadron Masses from Lattice QCD
• Effective field theories for QCD with rooted staggered fermions
• Progress in four-dimensional lattice supersymmetry
• 't Hooft vertices, partial quenching, and rooted staggered QCD
• Rooted staggered fermions: good, bad or ugly?
• Quark Hadron Duality at Finite Temperature
• Logarithmic corrections to O($a$) and O($a^2$) effects in lattice QCD with Wilson or Ginsparg-Wilson quarks
• Brief Review of Saturation Physics
• Two Lectures on QCD at Short Distances: Jets and Factorization