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The vacuum functional at large distances.

Mansfield, P. (1995) 'The vacuum functional at large distances.', Physics letters B., 358 (3-4). pp. 287-296.


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, however, this does not satisfy the obvious form of the Schrödinger equation. For ϕ4 theory we construct the appropriate equation that this expansion does satisfy. This reduces the eigenvalue problem for the Hamiltonian to a set of algebraic equations. We suggest two approaches to their solution. The first is equivalent to the usual semi-classical expansion whilst the other is a new scheme that may also be applied to theories that are classically massless but in which mass is generated quantum mechanically.

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, 358, 3-4, 28 September 1995, 10.1016/0370-2693(95)01007-D.
Date accepted:No date available
Date deposited:No date available
Date of first online publication:September 1995
Date first made open access:No date available

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