Automatic O(a) improvement for twisted-mass QCD in the presence of spontaneous symmetry breaking

Abstract

In this paper we present a proof for automatic O(a) improvement in twisted mass lattice QCD at maximal twist, which uses only the symmetries of the leading part in the Symanzik effective action. In the process of the proof we clarify that the twist angle is dynamically determined by vacuum expectation values in the Symanzik theory. For maximal twist according to this definition, we show that scaling violations of all quantities which have non-zero values in the continuum limit are even in a. In addition, using Wilson Chiral Perturbation Theory (WChPT), we investigate this definition for maximal twist and compare it to other definitions which were already employed in actual simulations.

arXiv comment36 pages, no figures

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Cited by in corpus (16)

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• The chirally rotated Schrödinger functional with Wilson fermions and automatic O(a) improvement
• On the consistency of the Aoki-phase
• The epsilon regime with Wilson fermions
• Chiral Ward identities, automatic O(a) improvement and the gradient flow
• Constraint on the Low Energy Constants of Wilson Chiral Perturbation Theory
• Chiral logs in twisted mass lattice QCD with large isospin breaking
• Applications of Chiral Perturbation theory to lattice QCD
• Kenneth Wilson and lattice QCD
• A quenched study of the Schroedinger functional with chirally rotated boundary conditions: non-perturbative tuning
• Charmless chiral perturbation theory for N_f=2+1+1 twisted mass lattice QCD
• Topics in Effective Field Theory for Lattice QCD
• Spin-taste representation of minimally doubled fermions from first principles: Karsten-Wilczek fermions
• Chiral perturbation theory for twisted mass QCD at small quark mass
• $N_f=2+1+1$ flavours of twisted mass quarks: cut-off effects at tree-level of perturbation theory
• Fermion Discretization Effects in the Two-Flavor Lattice Schwinger Model: A Study with Matrix Product States