1992Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsRequires access

Closed-form expressions for thermal Green's functions in field theories

Alisson Pinto de Almeida, J. Frenkel, J. C. Taylor

Open publisher page 5 citations

Abstract

We study finite-temperature effects to one-loop order in field theories by relating them to the forward scattering of thermal particles. This approach allows for an exact evaluation of all temperature-dependent contributions to the thermal self-energy in terms of generalized $\ensuremath{\zeta}$ functions. We obtain a closed-form expression for the two-point gluon function in thermal Yang-Mills theory.

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What this paper is about

We study finite-temperature effects to one-loop order in field theories by relating them to the forward scattering of thermal particles. This approach allows for an exact evaluation of all temperature-dependent contributions to the thermal self-energy in terms of generalized $\ensuremath{\zeta}$ functions. We obtain a closed-form expression for the two-point gluon function in thermal Yang-Mills theory.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We study finite-temperature effects to one-loop order in field theories by relating them to the forward scattering of thermal particles. This approach allows for an exact evaluation of all temperature-dependent contributions to the thermal self-energy in terms of generalized $\ensuremath{\zeta}$ functions. We obtain a closed-form expression for the two-point gluon function in thermal Yang-Mills theory.

Key concepts: Thermal quantum field theory, Thermal, Field theory (psychology), Physics, Beta function (physics), Expression (computer science), Field (mathematics), Function (biology)

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