The Schrödinger functional in QCD

Details The Schrödinger functional in QCD The Schrödinger functional in QCD

1994-11-28

arxiv.org/abs/hep-lat/9411063v1

Nucl.Phys.Proc.Suppl. 42 (1995) 835-837

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages in postscript (no figures), talk presented at Lattice '94 in Bielefeld 9/27--10/1/94

Scientific paper

10.1016/0920-5632(95)00396-Q

The Schr\"odinger functional in Wilson's lattice QCD leads to a sensible classical continuum theory which can be taken as starting point for a perturbative analysis. In dimensional regularization, the saddle point expansion of the Schr\"odinger functional is performed to one-loop order of perturbation theory. The divergences are partly cancelled by the usual coupling constant and quark mass renormalization. An additional divergence can be absorbed in a multiplicative renormalization of the quark boundary fields. The corresponding boundary counterterm being a local polynomial in the fields we confirm the general expectation expressed by Symanzik~\cite{Symanzik}.

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