Gaussian, Mean Field and Variational Approximation: the Equivalence

Details Gaussian, Mean Field and Variational Approximation: the Equivalence Gaussian, Mean Field and Variational Approximation: the Equivalence

1999-05-26

arxiv.org/abs/quant-ph/9905088v1

Physics

Quantum Physics

18 pages, no figure

Scientific paper

We show the equivalence between the three approximation schemes for
self-interacting (1+1)-D scalar field theories. Based on rigorous results of
[1, 2], we are able to prove that the Gaussian approximation is very precise
for certain limits of coupling constants. The $\lambda \phi ^{4}+\sigma \phi
^{2}$ model will be used as a concrete application.

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