Twisted Mass, Overlap and Creutz Fermions: Cut-off Effects at Tree-level of Perturbation Theory

Abstract

We study cutoff effects at tree-level of perturbation theory for maximally twisted mass Wilson, overlap and the recently proposed Creutz fermions. We demonstrate that all three kind of lattice fermions exhibit the expected O(a^2) scaling behaviour in the lattice spacing. In addition, the sizes of these cutoff effects are comparable for the three kinds of lattice fermions considered here. Furthermore, we analyze situations when twisted mass fermions are not exactly at maximal twist and when overlap fermions are studied in comparison to twisted mass fermions when the quark masses are not matched.

19 pages, 5 figures, 3 tables. Minor modifications. Results and conclusions unchanged. Accepted for publication on Nucl. Phys. B

References in corpus (4)

• Twisted mass lattice QCD
• Creutz Fermions on an Orthogonal Lattice
• Broken Symmetries from Minimally Doubled Fermions
• Cutoff effects for Wilson twisted mass fermions at tree-level of perturbation theory

Cited by in corpus (12)

• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• Computing K and D meson masses with N_f = 2+1+1 twisted mass lattice QCD
• Creutz Fermions on an Orthogonal Lattice
• Classification of Minimally Doubled Fermions
• Phase structure for lattice fermions with flavored chemical potential terms
• The flavor dependence of $m_{\varrho }/f_{\pi }$
• Continuum Limit of Overlap Valence Quarks on a Twisted Mass Sea
• A comparison of the cut-off effects for Twisted Mass, Overlap and Creutz fermions at tree-level of Perturbation Theory
• Mixed action with Borici-Creutz fermions on staggered sea
• Spin-taste representation of minimally doubled fermions from first principles: Karsten-Wilczek fermions
• Minimally doubled fermions and their renormalization
• More on the flavor dependence of $m_{\varrho }/f_{\pi }$