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

Mansfield, P. (1996) 'Reconstructing the vacuum functional of Yang-Mills from its large distance behaviour.', Physics letters B., 365 (1-4). pp. 207-212.


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.

Item Type:Article
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Publisher statement:NOTICE: this is the author’s version of a work that was accepted for publication in Physics Letters B. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physics Letters B, 365, 1-4, 4 January 1996, 10.1016/0370-2693(95)01332-6.
Date accepted:No date available
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Date of first online publication:January 1996
Date first made open access:No date available

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