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Durham University

Department of Mathematical Sciences

Academic Staff

Publication details for Paul Mansfield

Mansfield, P. & Pachos, J. (1996). The O(N) σ-model Laplacian. Physics Letters B 365(1-4): 169-174.

Author(s) from Durham

Abstract

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.