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Yang-Mills beta-function from a large-distance expansion of the Schrödinger functional

Mansfield, P.; Sampaio, M.

Authors

P. Mansfield

M. Sampaio



Abstract

For slowly varying fields the Yang-Mills Schrödinger functional can be expanded in terms of local functionals. We show how analyticity in a complex scale parameter enables the Schrödinger functional for arbitrarily varying fields to be reconstructed from this expansion. We also construct the form of the Schrödinger equation that determines the coefficients. Solving this in powers of the coupling reproduces the results of the ‘standard’ perturbative solution of the functional Schrödinger equation which we also describe. In particular the usual result for the beta-function is obtained illustrating how analyticity enables the effects of rapidly varying fields to be computed from the behaviour of slowly varying ones.

Journal Article Type Article
Acceptance Date Sep 19, 1998
Publication Date Apr 19, 1999
Deposit Date Jun 16, 2015
Publicly Available Date Jun 16, 2015
Journal Nuclear Physics B
Print ISSN 0550-3213
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 545
Issue 1-3
Pages 623-655
DOI https://doi.org/10.1016/s0550-3213%2898%2900871-2
Public URL https://durham-repository.worktribe.com/output/1598601
Related Public URLs http://arXiv.org/abs/hep-th/9807163

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