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The O(N) σ-model Laplacian

Mansfield, P.; Pachos, J.


P. Mansfield

J. Pachos


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.


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

Journal Article Type Article
Publication Date Jan 4, 1996
Deposit Date Jun 16, 2015
Publicly Available Date Jun 16, 2015
Journal Physics Letters B
Print ISSN 0370-2693
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 365
Issue 1-4
Pages 169-174
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