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20 April 2024
 
  » arxiv » hep-th/9511041

 Article overview


The O(N) sigma-model Laplacian
Paul Mansfield ; Jiannis Pachos ;
Date 6 Nov 1995
Journal Phys.Lett. B365 (1996) 169-174
Subject hep-th
AbstractFor 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) sigma-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.
Source arXiv, hep-th/9511041
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