The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories

Details The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories

1992-07-09

arxiv.org/abs/hep-lat/9207009v1

Nucl.Phys.B384:168-228,1992

Physics

High Energy Physics

High Energy Physics - Lattice

68 pages

Scientific paper

10.1016/0550-3213(92)90466-O

Following Symanzik we argue that the Schr\"odinger functional in lattice gauge theories without matter fields has a well-defined continuum limit. Due to gauge invariance no extra counter terms are required. The Schr\"odinger functional is, moreover, accessible to numerical simulations. It may hence be used to study the scaling properties of the theory and in particular the evolution of the renormalized gauge coupling from low to high energies. A concrete proposition along this line is made and the necessary perturbative analysis of the Schr\"odinger functional is carried through to 1-loop order.

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