Critical Exponents and Critical Amplitude Ratio of The Scalar Model from Finite-temperature Field Theory

Abstract

The critical exponents and the critical amplitude ratio of the scalar model are determined using finite-temperature field theory with auxiliary mass. A new numerical method is developed to solve an evolution equation. The results are discussed in comparison with values obtained from the other methods.

LaTex 19 pages with 12 eps figures

References in corpus (6)

• A Non-Perturbative Analysis of the Finite T Phase Transition in SU(2)xU(1) Electroweak Theory
• 3d SU(N) + adjoint Higgs theory and finite temperature QCD
• Where the electroweak phase transition ends
• Derivative expansion of the renormalization group in O(N) scalar field theory
• The effectiveness of the local potential approximation in the Wegner-Houghton renormalization group
• Non-perturbative Evaluation of the Effective Potential of $\lambda {\varphi }^4$ Theory at Finite Temperature under the Super-Daisy Approximation

Cited by in corpus (9)

• Optimization of Renormalization Group Flow
• High Temperature Resummation in the Linear $\delta$-Expansion
• Broken phase effective potential in the two-loop Phi-derivable approximation and nature of the phase transition in a scalar theory
• Vacuum Structure of Twisted Scalar Field Theories on M^{D-1} \otimes S^1
• Investigation into O(N) Invariant Scalar Model Using Auxiliary-Mass Method at Finite Temperature
• Critical Behavior of phi^4-Theory from the Thermal Renormalization Group
• 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
• Temperature phase transition and an effective expansion parameter in the O(N)-model