Retarded thermal Greens functions and forward scattering amplitudes at two loops

Abstract

In this paper, we extend our earlier one loop analysis to two loops and give a simple diagrammatic description for the retarded Greens functions at finite temperature, in terms of forward scattering amplitudes of on-shell thermal particles. We present a simple discussion, which can be easily generalized to any field theory, of the temperature dependent parts of the retarded two and three point functions in scalar field theory and QED. As an application of our result at two loops, we show how the infrared singularities in the thermal part of the retarded photon self-energy, cancel in QED_2 in the limit of vanishing electron mass.

10 pages

References in corpus (5)

• The structure of the graviton self-energy at finite temperature
• Multiple Scattering Expansion of the Self-Energy at Finite Temperature
• Generalized forward scattering amplitudes in QCD at high temperature
• Retarded Greens Functions and Forward Scattering Amplitudes in Thermal Field Theory
• 3-dimensional Rules for Finite-Temperature Loops

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• Search for Combinations of Thermal n-point Functions with Analytic Extensions
• Thermal effective action for 1+1 dimensional massive QED
• The thermal chiral anomaly in the Schwinger model
• Finite temperature gluon self-energy in a class of temporal gauges
• Vanishing magnetic mass in QED${}_3$ with a Chern-Simons term
• Thermal Operator and Dispersion Relation in QED at Finite Temperature and Chemical Potential
• Forward scattering amplitudes in the imaginary time formalism