Renormalization versus the Gaussian effective potential

15 September 1987

journal article
research article
Published by American Physical Society (APS) in Physical Review D

Vol. 36 (6) , 1745-1753
https://doi.org/10.1103/physrevd.36.1745

Abstract

In this paper we study the variational upper bounds to the effective potential with the proper inclusion of all renormalization effects. We find that the Gaussian effective potential is well defined in 1+1 dimensions but not so for higher dimensionalities. This problem, and possible ways of evading it, are discussed to some extent. All calculations are performed in the Schrödinger representation.

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