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

Mansfield, P.

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.

Citation

Mansfield, P. (1996). Reconstructing the vacuum functional of Yang-Mills from its large distance behaviour. Physics Letters B, 365(1-4), 207-212. https://doi.org/10.1016/0370-2693%2895%2901332-6

• 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
• Electronic ISSN: 1873-2445
• 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