Second Order Calculations of the O(N) sigma-Model Laplacian

Details Second Order Calculations of the O(N) sigma-Model Laplacian Second Order Calculations of the O(N) sigma-Model Laplacian

1997-01-15

arxiv.org/abs/hep-th/9701074v1

Phys.Lett. B394 (1997) 365-370

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, Latex, no figures

Scientific paper

10.1016/S0370-2693(97)00039-7

For slowly varying fields 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 Schrodinger equation, the principal ingredient of which is a regulated functional Laplacian. We extend a previous work to construct the next to leading order terms of the Laplacian for the Schrodinger equation that acts on such local functionals. Like the leading order the next order is completely determined by imposing rotational invariance in the internal space together with closure of the Poincare algebra.

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