Variational calculations and renormalization
- 15 March 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 37 (6) , 1464-1471
- https://doi.org/10.1103/physrevd.37.1464
Abstract
In this paper we discuss the finiteness constraint imposed by renormalizability on variational approximations in quantum field theories. After a review of the philosophy to be followed, an illustration of the problem in a simple superrenormalizable model is presented. To obtain a well-defined variational approximation for this model, we propose a first-order formalism augmented by the inclusion of redundant degrees of freedom. As an example we calculate a well-defined (i.e., regulator-independent) variational approximant to the effective potential.Keywords
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