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Forward scattering amplitudes and the thermal operator representation

2006/09/22 by F. T. Brandt, Fernando T. Brandt, Ashok Das +3
Chemistry · Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Chemistry #Field (mathematics) #Field theory (psychology) #High-Energy Particle Collisions Research #Loop (graph theory) #Mathematical physics #Mathematics #Operator (biology) #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Representation (politics) #Scattering #Scattering amplitude #Thermal #Thermodynamics #Zero (linguistics) #Zero temperature #hep-th

paper · pdf · doi:10.1103/physrevd.74.125005

published as Phys.Rev.D74:125005,2006 · 16 pages, 6 figures

arxiv created 2006/09/22 · openalex publication_date 2006/12/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We develop systematically to all orders the forward scattering description for retarded amplitudes in field theories at zero temperature. Subsequently, through the application of the thermal operator, we establish the forward scattering description at finite temperature. We argue that, beyond providing a graphical relation between the zero temperature and the finite temperature amplitudes, this method is calculationally quite useful. As an example, we derive the important features of the one-loop retarded gluon self-energy in the hard thermal loop approximation from the corresponding properties of the zero temperature amplitude.

Citations