English

A perturbative study of the chirally rotated Schr\"{o}dinger Functional in QCD

High Energy Physics - Lattice 2014-12-30 v1

Abstract

The chirally rotated Schr\"odinger functional (χ\chiSF) renders the mechanism of automatic O(a)O(a) improvement compatible with the Schr\"odinger functional (SF) formulation. Here we report on the determination to 1-loop order in perturbation theory of the renormalization coefficients necessary to achieve automatic O(a)O(a) improvement and the boundary improvement coefficients needed to eliminate the extra boundary O(a)O(a) effects present in any SF formulation. After this is done, we perform a set of tests of automatic O(a)O(a) improvement and of the universality between standard and chirally rotated SF formulations.

Keywords

Cite

@article{arxiv.1412.7928,
  title  = {A perturbative study of the chirally rotated Schr\"{o}dinger Functional in QCD},
  author = {Stefan Sint and Pol Vilaseca},
  journal= {arXiv preprint arXiv:1412.7928},
  year   = {2014}
}