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

Cichy, Krzysztof; Lopez, Jenifer Gonzalez; Kujawa, Agnieszka

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

Authors

Cichy, Krzysztof

Lopez, Jenifer Gonzalez

Kujawa, Agnieszka

Description

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