Finite Temperature Retarded and Advanced Fields

Abstract

By employing retarded and advanced propagators, Aurenche and Becherrawy showed how to rewrite the real-time thermal Feynman rules so that the temperature dependence is removed from the free propagators and transferred to the vertices. The present paper introduces retarded and advanced field operators and incorporates all temperature dependence into the interaction term of the Hamiltonian. Perturbative expansions of the Green functions in the Hamiltonian formulation give the correct results order by order in perturbation theory. The spectrum of the temperature-dependent Hamiltonian contains the thermal quasiparticles that produce poles in the propagators.

27 pages, latex, no figures

Cited by in corpus (8)

• A Generalized Fluctuation-Dissipation Theorem for Nonlinear Response Functions
• Ghost spectral function from the spectral Dyson-Schwinger equation
• On the complex structure of Yang-Mills theory
• Higher time-derivative theories from space-time interchanged integrable field theories
• Causal signal transmission by quantum fields. IV: The causal Wick theorem
• Nonlinear evolution of disturbances in higher time-derivative theories
• Quantisations of exactly solvable ghostly models
• Lie symmetries and ghost-free representations of the Pais-Uhlenbeck model