Non-perturbative Evaluation of the Effective Potential of $\lambda\phi^4$ Theory at Finite Temperature under the Super-Daisy Approximation

TL;DR

This paper computes the finite-temperature effective potential of mbda theory using the super-daisy approximation, revealing a first-order phase transition and comparing results with other methods.

Contribution

It introduces a self-consistent approach to evaluate the effective potential at finite temperature under the super-daisy approximation, highlighting the nature of the phase transition.

Findings

Phase transition is first order under the super-daisy approximation

Derived a self-consistent equation for the effective potential derivative

Compared results with other approximation methods

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.