Non-perturbative renormalization in coordinate space for Nf=2 maximally twisted mass fermions with tree-level Symanzik improved gauge action

2012/07/03 by Krzysztof Cichy, Karl Jansen, Piotr Korcyl
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1016/j.nuclphysb.2012.08.006

published as Nucl.Phys. B865 (2012) 268-290 · 29 pages, 7 figures, 6 tables

arxiv created 2012/07/03 · openalex publication_date 2012/08/09 · arxiv updated 2012/12/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present results of a lattice QCD application of a coordinate space renormalization scheme for the extraction of renormalization constants for flavour non-singlet bilinear quark operators. The method consists in the analysis of the small-distance behaviour of correlation functions in Euclidean space and has several theoretical and practical advantages, in particular: it is gauge invariant, easy to implement and has relatively low computational cost. The values of renormalization constants in the X-space scheme can be converted to the MSbar scheme via 4-loop continuum perturbative formulae. Our results for N_f=2 maximally twisted mass fermions with tree-level Symanzik improved gauge action are compared to the ones from the RI-MOM scheme and show full agreement with this method.

Citations

• Three Topics in Renormalization and Improvement
• Non perturbative renormalization in coordinate space
• High-loop perturbative renormalization constants for lattice QCD (I): finite constants for Wilson quark currents
• Twisted mass lattice QCD
• Lattice perturbation theory
• Renormalization Constants of Quark Operators for the Non-Perturbatively Improved Wilson Action
• The Schrödinger functional — a renormalizable probe for non-abelian gauge theories
• Pseudoscalar vertex, Goldstone boson and quark masses on the lattice
• Chiral symmetry breaking and the Banks-Casher relation in lattice QCD with Wilson quarks
• Dynamical twisted mass fermions with light quarks
• Renormalisation constants of quark bilinears in lattice QCD with four dynamical Wilson quarks