Thermal Operator Representation of Finite Temperature Graphs

Abstract

Using the mixed space representation (t,p) in the context of scalar field theories, we prove in a simple manner that the Feynman graphs at finite temperature are related to the corresponding zero temperature diagrams through a simple thermal operator, both in the imaginary time as well as in the real time formalisms. This result is generalized to the case when there is a nontrivial chemical potential present. Several interesting properties of the thermal operator are also discussed.

20 pages, seven figures

References in corpus (4)

• Finite Temperature Perturbation Theory and Large Gauge Invariance
• Out of Equilibrium Phase Transitions and a Toy Model for Disoriented Chiral Condensates
• The thermal operator representation for Matsubara sums
• An operator representation for Matsubara sums

Cited by in corpus (15)

• Finite Temperature Effective Actions
• Thermal Operator Representation of Finite Temperature Graphs II
• Factorization of finite temperature graphs in thermal QED
• Effective actions at finite temperature
• Hard thermal effective actions in the Schwinger formulation
• Forward scattering amplitudes and the thermal operator representation
• Exact Effective action for (1+1)-dimensional fermions in an Abelian background at finite temperature and chemical potential
• Thermal Operator Representation of Finite-Temperature Amplitudes in the Presence of Chemical Potential
• Thermal Operator and Cutting Rules at Finite Temperature and Chemical Potential
• Bogoliubov transformation and the thermal operator representation in the real time formalism
• Thermal effective action for 1+1 dimensional massive QED
• Large time behavior in an exactly soluble out of equilibrium model
• Real-time thermal photon-photon interactions in the mixed space
• Hard thermal effective action in QCD through the thermal operator
• Thermal Operator and Dispersion Relation in QED at Finite Temperature and Chemical Potential