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

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.

12 page, 8 figures

Cited by in corpus (10)

• The O(N) Model at Finite Temperature: Renormalization of the Gap Equations in Hartree and Large-N Approximation
• Foam Diagram Summation at Finite Temperature
• High Temperature Resummation in the Linear $\delta$-Expansion
• Optimized perturbation theory for charged scalar fields at finite temperature and in an external magnetic field
• Applicability of the Linear delta Expansion for the lambda phi^4 Field Theory at Finite Temperature in the Symmetric and Broken Phases
• Investigation into O(N) Invariant Scalar Model Using Auxiliary-Mass Method at Finite Temperature
• Critical Exponents and Critical Amplitude Ratio of The Scalar Model from Finite-temperature Field Theory
• Thermal Renormalization Group-Equations and the Phase-Transition of Scalar O(N)-Theories
• The Thermal Renormalization Group for Fermions, Universality, and the Chiral Phase-Transition
• Restoration and Dynamical Breakdown of the ϕ\to -ϕSymmetry in the (1+1)-dimensional Massive sine-Gordon Field Theory