Gaussian, Mean Field and Variational Approximation: the Equivalence
Abstract
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 λ φ 4+σ φ 2 model will be used as a concrete application.
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