The variational problem and background fields in renormalization group method for lattice gauge theories |
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| Authors: | T. Balaban |
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| Affiliation: | (1) Department of Mathematics, The University of Michigan, 48109 Ann Arbor, MI, USA;(2) Department of Physics, Harvard University, 02138 Cambridge, MA, USA |
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| Abstract: | We consider the action of a lattice gauge theory on a space of regular gauge field configurations with fixed averages, and we prove that there exists a minimum of this action. The minimum is unique up to gauge transformations. This minimal configuration is called a background field, and it serves as a basis of an expansion and perturbative methods.Work partially supported by the National Science Foundation under Grant PHY 82-03669 and DMS 84-01989 |
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