Optimized Perturbation Theory at Finite Temperature--- Two-Loop Analysis---

Abstract

We study the optimized perturbation theory (OPT) at finite temperature, which is a self-consistent resummation method. Firstly, we generalize the idea of the OPT to optimize the coupling constant in lambda phi^4 theory, and give a proof of the renormalizability of this generalized OPT. Secondly, the principle of minimal sensitivity and the criterion of the fastest apparent convergence, which are conditions to determine the optimal parameter values, are examined in lambda phi^4 theory. Both conditions exhibit a second-order transition at finite temperature with critical exponent beta = 0.5 in the two-loop approximation.

PTPTeX 22 pages, with 18 eps figures

Cited by in corpus (14)

• Theory of the Weakly Interacting Bose Gas
• Real-Time Correlation Functions in the O(N) Model from the Functional Renormalization Group
• Chiral transition in a magnetic field and at finite baryon density
• Revisiting the Phase Structure of the Polyakov-quark-meson Model in the presence of Vacuum Fermion Fluctuation
• Thermodynamics of O(N) sigma models: 1/N corrections
• Broken phase effective potential in the two-loop Phi-derivable approximation and nature of the phase transition in a scalar theory
• A 2 Loop 2PPI Analysis of $\lambda {\varphi }^4$ at Finite Temperature
• Reliability of the optimized perturbation theory in the 0-dimensional $O(N)$ scalar field model
• Exploring criticality in the QCD-like two quark flavour models
• Study of chiral symmetry restoration in linear and nonlinear O(N) models using the auxiliary field method
• Optimized perturbation theory applied to the study of the thermodynamics and BEC-BCS crossover in the three-color Nambu--Jona-Lasinio model
• Two-loop HTL-resummed thermodynamics for N=4 supersymmetric Yang-Mills theory
• Real effective potentials for phase transitions in models with extended scalar sectors
• Quantized meson fields in and out of equilibrium. I : Kinetics of meson condensate and quasi-particle excitations