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.

arXiv comment19 pages, 5 figures, 3 tables. Minor modifications. Results and conclusions unchanged. Accepted for publication on Nucl. Phys. B

References in corpus (10)

• Exactly massless quarks on the lattice
• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• Locality properties of Neuberger's lattice Dirac operator
• Chirally improving Wilson fermions - I. O(a) improvement
• Exact chiral symmetry, topological charge and related topics
• Twisted mass lattice QCD
• Creutz Fermions on an Orthogonal Lattice
• Broken Symmetries from Minimally Doubled Fermions
• Going chiral: overlap versus twisted mass fermions
• Cutoff effects for Wilson twisted mass fermions at tree-level of perturbation theory

Cited by in corpus (24)

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• Meson masses and decay constants from unquenched lattice QCD
• Renormalization of minimally doubled fermions
• O(a^2) cutoff effects in lattice Wilson fermion simulations
• Lattice Fermions Based on Higher-Dimensional Hyperdiamond Lattices
• Classification of Minimally Doubled Fermions
• Revisiting symmetries of lattice fermions via spin-flavor representation
• Phase structure for lattice fermions with flavored chemical potential terms
• Topological Aspects of Fermions on a Honeycomb Lattice
• The flavor dependence of $m_{\varrho }/f_{\pi }$
• Cutoff effects of Wilson fermions on the QCD equation of state to O(g^2)
• Dispersion relation and spectral range of Karsten-Wilczek and Borici-Creutz fermions
• 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
• Minimally doubled fermions and their renormalization
• Spin-taste representation of minimally doubled fermions from first principles: Karsten-Wilczek fermions
• The influence of magnetic field on the superconducting properties and the BCS-BEC crossover in systems with local fermion pairing
• Non-${\gamma }_5$hermiticity fermions in two dimensions
• $N_f=2+1+1$ flavours of twisted mass quarks: cut-off effects at tree-level of perturbation theory
• More on the flavor dependence of $m_{\varrho }/f_{\pi }$