Closed-form expressions for thermal Green's functions in field theories
Alisson Pinto de Almeida, J. Frenkel, J. C. Taylor
Abstract
Alisson Pinto de Almeida, J. Frenkel, J. C. Taylor
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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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)