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Reconstructing the vacuum functional of Yang-Mills from its large distance behaviour

Mansfield, P.

Authors

P. Mansfield



Abstract

For fields that vary slowly on the scale of the lightest mass the logarithm of the vacuum functional can be expanded as a sum of local functionals. For Yang-Mills theory the leading term in the expansion dominates large distance effects and leads to an area law for the Wilson loop. However, this expansion cannot be expected to converge for fields that vary more rapidly. By studying the analyticity of the vacuum functional under scale transformations we show how to re-sum this series so as to reconstruct the vacuum functional for arbitrary fields.

Journal Article Type Article
Publication Date Jan 4, 1996
Deposit Date Jun 16, 2015
Publicly Available Date Jun 16, 2015
Journal Physics Letters B
Print ISSN 0370-2693
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 365
Issue 1-4
Pages 207-212
DOI https://doi.org/10.1016/0370-2693%2895%2901332-6
Public URL https://durham-repository.worktribe.com/output/1626399
Related Public URLs http://arXiv.org/abs/hep-th/9510188

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