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The O(N) σ-model Laplacian.

Mansfield, P. and Pachos, J. (1996) 'The O(N) σ-model Laplacian.', Physics letters B., 365 (1-4). pp. 169-174.


For fields that vary slowly on the scale of the lightest mass the logarithm of the vacuum functional of a massive quantum field theory can be expanded in terms of local functionals satisfying a form of the Schrödinger equation, the principal ingredient of which is a regulated functional Laplacian. We construct to leading order a Laplacian for the O(N) σ-model that acts on such local functionals. It is determined by imposing rotational invariance in the internal space together with closure of the Poincaré algebra.

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)01333-4.
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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