The O(N) σ-model Laplacian

Mansfield, P.; Pachos, J.

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.

Citation

Mansfield, P., & Pachos, J. (1996). The O(N) σ-model Laplacian. Physics Letters B, 365(1-4), 169-174. https://doi.org/10.1016/0370-2693%2895%2901333-4

• 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
• Electronic ISSN: 1873-2445
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 365
• Issue: 1-4
• Pages: 169-174
• DOI: https://doi.org/10.1016/0370-2693%2895%2901333-4
• Public URL: https://durham-repository.worktribe.com/output/1598576
• Related Public URLs: http://arXiv.org/abs/hep-th/9511041