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Thermal operator representation of finite temperature graphs

2005/08/09 by F. T. Brandt, Fernando T. Brandt, Ashok Das +4
Chemistry · Mathematics · Physics and Astronomy · #Chemistry #Context (archaeology) #Feynman diagram #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Operator (biology) #Physics #Pure mathematics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum mechanics #Representation (politics) #Rotation formalisms in three dimensions #Scalar (mathematics) #Simple (philosophy) #Theoretical physics #Thermal #Thermal quantum field theory #Thermodynamics #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.72.085006

published as Phys.Rev.D72:085006,2005 · 20 pages, seven figures

arxiv created 2005/08/09 · openalex publication_date 2005/10/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Using the mixed space representation (t,\stackrel\ensuremath→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.

Citations

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