A comparison of the cut-off effects for Twisted Mass, Overlap and Creutz fermions at tree-level of Perturbation Theory

Abstract

In this paper we investigate the cutoff effects at tree-level of perturbation theory for three different lattice regularizations of fermions -- maximally twisted mass Wilson, overlap and Creutz fermions. We show that all three kinds of fermions exhibit the expected $O(a^2)$ scaling behaviour in the lattice spacing. Moreover, the size of these cutoff effects for the considered quantities i.e. the pseudoscalar correlation function $C_{PS}$, the mass $m_{PS}$ and the decay constant $f_{PS}$ is comparable for all of them.

arXiv comment11 pages, 3 figures, presented at the 48. Cracow School of Theoretical Physics: Aspects of Duality, Zakopane, Poland, 13-22 June 2008

References in corpus (3)

• Twisted Mass, Overlap and Creutz Fermions: Cut-off Effects at Tree-level of Perturbation Theory
• Going chiral: overlap versus twisted mass fermions
• Cutoff effects for Wilson twisted mass fermions at tree-level of perturbation theory

Cited by in corpus (4)

• Lattice Fermions Based on Higher-Dimensional Hyperdiamond Lattices
• Continuum Limit of Overlap Valence Quarks on a Twisted Mass Sea
• The influence of magnetic field on the superconducting properties and the BCS-BEC crossover in systems with local fermion pairing
• $N_f=2+1+1$ flavours of twisted mass quarks: cut-off effects at tree-level of perturbation theory