Published December 11, 2012 | Version v1
Journal article

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

  • 1. Adam Mickiewicz University, Faculty of Physics, Umultowska 85, 61-614 Poznan (Poland)
  • 2. NIC, DESY, Platanenallee 6, D-15738 Zeuthen (Germany)
  • 3. M. Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Krakow (Poland)

Description

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 MS¯ scheme via 4-loop continuum perturbative formulae. Our results for Nf=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.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.nuclphysb.2012.08.006

Additional details

Identifiers

DOI
10.1016/j.nuclphysb.2012.08.006;
arXiv
arXiv:1207.0628v1;
PII
S0550-3213(12)00438-5;

Publishing Information

Journal Title
Nuclear Physics. B
Journal Volume
865
Journal Issue
2
Journal Page Range
p. 268-290
ISSN
0550-3213
CODEN
NUPBBO

Optional Information

Copyright
Copyright (c) 2012 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.