Hubbard-Stratonovich Transformation: Successes, Failure, and Cure

Details Hubbard-Stratonovich Transformation: Successes, Failure, and Cure Hubbard-Stratonovich Transformation: Successes, Failure, and Cure

2011-04-27

arxiv.org/abs/1104.5161v1

EJTP 8, 57 (2011)

Physics

Condensed Matter

Quantum Gases

four pages

Scientific paper

We recall the successes of the Hubbard-Stratonovich Transformation (HST) of many-body theory, point out its failure to cope with competing channels of collective phenomena and show how to overcome this by Variational Perturbation Theory. That yields exponentially fast converging results, thanks to the help of a variety of {\it collective classical fields}, rather than a fluctuating {\it collective quantum field} as suggested by the HST.

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