Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-11-06
Phys.Lett. B365 (1996) 169-174
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, latex
Scientific paper
10.1016/0370-2693(95)01333-4
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 Schr\"odinger 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 Poincar\'e algebra.
Mansfield Paul
Pachos Jiannis
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