Reconstructing the Vacuum Functional of Yang-Mills from its Large Distance Behaviour

Details Reconstructing the Vacuum Functional of Yang-Mills from its Large Distance Behaviour Reconstructing the Vacuum Functional of Yang-Mills from its Large Distance Behaviour

1995-10-25

arxiv.org/abs/hep-th/9510188v1

Phys.Lett. B365 (1996) 207

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, latex

Scientific paper

10.1016/0370-2693(95)01332-6

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.

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