Investigation into O(N) Invariant Scalar Model Using Auxiliary-Mass Method at Finite Temperature

Abstract

Using auxiliary-mass method, O(N) invariant scalar model is investigated at finite temperature. This mass and an evolution equation allow us to calculate an effective potential without an infrared divergence. Second order phase transition is indicated by the effective potential. The critical exponents are determined numerically.

LaTex 8 pages with 3 eps figures

References in corpus (4)

• Thermal Effective Potential of the O(N) Linear sigma Model
• Pade Improvement of the Free Energy in High Temperature QCD
• Critical Exponents and Critical Amplitude Ratio of The Scalar Model from Finite-temperature Field Theory
• Non-perturbative Evaluation of the Effective Potential of $\lambda {\varphi }^4$ Theory at Finite Temperature under the Super-Daisy Approximation

Cited by in corpus (8)

• Vacuum Structure of Twisted Scalar Field Theories on M^{D-1} \otimes S^1
• On the Chiral Phase Transition in the Linear Sigma Model
• 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
• Temperature phase transition and an effective expansion parameter in the O(N)-model
• A New Technique for the Calculation of Effective Mesonic Potential at Finite Temperature in the Logarithmic Quark-Sigma Model
• An analytic study of the tricritical line in the U(Nf)xU(Nf) sigma model