Quantum Physics Division
Faculty of PhysicsAdam Mickiewicz University
Publications

A comparison of the cut-off effect for twisted mass, overlap and creutz fermions at three-level of perturbation theory

K. Cichy1 , L. J. Gonzalez2,3 , A. Kujawa1

1 Institute of Physics, Adam Mickiewicz University, ul. Umultowska 85, PL 61-614 Poznań, Poland
2 Humboldt-Universität zu Berlin, Institut für Physik, Newtonstrasse 15, 12489 Berlin, Germany
3 DESY, Zeuthen, Platanenallee 6, D-15738 Zeuthen, Germany

Acta Physica Polonica B, 39, 3463 (2008)

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.

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