Pressure of massless hot scalar theory in the boundary effective theory framework

Abstract

We use the boundary effective theory (BET) approach to thermal field theory in order to calculate the pressure of a system of massless scalar fields with quartic interaction. The method naturally separates the infrared physics, and is essentially non-perturbative. To lowest order, the main ingredient is the solution of the free Euler-Lagrange equation with non-trivial (time) boundary conditions. We derive a resummed pressure, which is in good agreement with recent calculations found in the literature, following a very direct and compact procedure.

arXiv comment10 pages, 4 figures

References in corpus (27)

• Generic Rules for High Temperature Dimensional Reduction and Their Application to the Standard Model
• Resummation in a Hot Scalar Field Theory
• Approximately self-consistent resummations for the thermodynamics of the quark-gluon plasma. I. Entropy and density
• Effective Field Theory Approach to High-Temperature Thermodynamics
• Screened Perturbation Theory
• The entropy of the QCD plasma
• Advances in perturbative thermal field theory
• Optimized Perturbation Theory at Finite Temperature
• Resummation in Hot Field Theories
• Self-consistent hard-thermal-loop thermodynamics for the quark-gluon plasma
• Screened Perturbation Theory to Three Loops
• Renormalized thermodynamics from the 2PI effective action
• A Nonperturbative Study of Inverse Symmetry Breaking at High Temperatures
• HTL Resummation of the Thermodynamic Potential
• Four-loop pressure of massless O(N) scalar field theory
• Four-loop screened perturbation theory
• The Pressure of Hot $g^2{\varphi }^4$ Theory at order $g^5$
• High Temperature Resummation in the Linear $\delta$-Expansion
• Applicability of the Linear delta Expansion for the lambda phi^4 Field Theory at Finite Temperature in the Symmetric and Broken Phases
• Solution to the 3-Loop $\Phi$-Derivable Approximation for Massless Scalar Thermodynamics
• Pressure to order $g^8\ast log(g)$ in ${\varphi }^4$-theory at weak coupling
• Solution to the 3-loop $\Phi$-derivable Approximation for Scalar Thermodynamics
• Calculation of the pressure of a hot scalar theory within the Non-Perturbative Renormalization Group
• Semiclassical thermodynamics of scalar fields
• Alternative Dimensional Reduction via the Density Matrix
• Quantum statistical correlations in thermal field theories: boundary effective theory
• Zero-mode analysis of quantum statistical physics

Cited by in corpus (2)

• Effective potential in the BET formalism
• Semiclassical partition function for the double-well potential