Thermodynamics of the ϕ^4 theory in tadpole approximation

Abstract

Relying on the Luttinger-Ward theorem we derive a thermodynamically selfconsistent and scale independent approximation of the thermodynamic potential for the scalar ${\varphi }^4$ theory in the tadpole approximation. The resulting thermodynamic potential as a function of the temperature is similar to the one of the recently proposed screened perturbation theory.

6 pages, including 1 eps figure

References in corpus (4)

• Massive gluons and quarks and the equation of state obtained from SU(3) lattice QCD
• Screened Perturbation Theory
• Thermodynamics of Four-Flavour QCD with Improved Staggered Fermions
• Resummation of phi^4 free energy up to an arbitrary order

Cited by in corpus (11)

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• The QCD equation of state near T_0 within a quasi-particle model
• Quasi-Particle Description of Strongly Interacting Matter: Towards a Foundation
• HTL Resummation of the Thermodynamic Potential
• The Quark-Mass Dependence of T_C in QCD: Working up from m=0 or down from m=infinity ?
• Renormalization Group Optimized Perturbation Theory at Finite Temperatures
• Selfconsistent approximations, symmetries and choice of representation
• Semiclassical thermodynamics of scalar fields
• Quantum statistical correlations in thermal field theories: boundary effective theory
• Strange quark matter: mapping QCD lattice results to finite baryon density by a quasi-particle model
• Two problems in thermal field theory