Dimensional regularization of Schrodinger Functional correlation functions

Details Dimensional regularization of Schrodinger Functional correlation functions Dimensional regularization of Schrodinger Functional correlation functions

2005-09-30

arxiv.org/abs/hep-lat/0509191v1

PoS LAT2005 (2005) 234

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented at Lattice 2005 (Improvement and renormalization), 6 pages, PoS style

Scientific paper

The matching between Schrodinger Functional renormalization schemes and conventional perturbative schemes is usually done using an intermediate lattice scheme. We propose to do the matching directly. This requires the perturbative evaluation of Schrodinger Functional correlation functions in the continuum. We use dimensional regularization but due to the lack of translational invariance in the Euclidean time direction, we employ a general technique introduced by Luscher. In this talk I describe this technique and its application to the one-loop expansion of correlation functions used in the definition of the renormalized quark mass in the Schrodinger Functional scheme. The divergent parts are identified and the computation of finite parts is in progress.

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