Three Topics in Renormalization and Improvement
Abstract
This is an expanded version of lecture notes, delivered at the XCIII Les Houches Summer School (August 2009). Our aim is to present three very specific topics: (i) The consequences of the loss of chiral symmetry in the Wilson lattice regularization of the fermionic action and its recovery in the continuum limit. The treatment of these arguments involves lattice Ward identities. (ii) The definition and properties of mass independent renormalization schemes, which are suitable for a non-perturbative computation of various operator renormalization constants. (iii) The modification of the Wilson fermion action, by the introduction of a chirally twisted mass term (known as twisted mass QCD - tmQCD), which results to improved (re)normalization and scaling properties for physical quantities of interest.
Keywords
Cite
@article{arxiv.1103.1323,
title = {Three Topics in Renormalization and Improvement},
author = {A. Vladikas},
journal= {arXiv preprint arXiv:1103.1323},
year = {2011}
}
Comments
67 pages, Lecture Notes delivered at the XCIII Les Houches Summer School "Modern perspectives in lattice QCD" (August 2009); comment and reference concerning RG-running in RI/MOM added; minor typos corrected