Non-perturbative Evaluation of the Effective Potential of λϕ4 Theory at Finite Temperature under the Super-Daisy Approximation
Jiro Arafune, Kenzo Ogure, Joe Sato
Abstract
We calculate the effective potential of the scalar theory at finite temperature under the super-daisy approximation, after expressing its derivative with respect to mass square in terms of the full propagator. This expression becomes the self-consistent equation for the derivative of the effective potential. We find the phase transition is first order with this approximation. We compare our result with others.
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