A simple sum rule for the thermal gluon spectral function and applications View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2002-05-24

AUTHORS

Patrick Aurenche, François Gelis, Haitham Zaraket

ABSTRACT

In this paper, we derive a simple sum rule satisfied by the gluon spectral function at finite temperature. This sum rule is useful in order to calculate exactly some integrals that appear frequently in the photon or dilepton production rate by a quark gluon plasma. Using this sum rule, we rederive simply some known results and obtain some new results that would be extremely difficult to justify otherwise. In particular, we explain how this result can be used to calculate the photon rate in a simple quasi-particle model which correctly reproduces the thermodynamic properties of a quark-gluon plasma. We also derive an exact expression for the collision integral that appears in the calculation of the Landau-Pomeranchuk-Migdal effect and propose a method to solve the resulting differential equation. More... »

PAGES

043

References to SciGraph publications

  • 2001-12-10. Photon emission from quark-gluon plasma: complete leading order results in JOURNAL OF HIGH ENERGY PHYSICS
  • 1992-09. Production rate of hard thermal photons and screening of quark mass singularity in ZEITSCHRIFT FÜR PHYSIK C PARTICLES AND FIELDS
  • 1999-10. Photon production in relativistic heavy-ion collisions using rates with two-loop calculations from quark matter in EUROPEAN PHYSICAL JOURNAL C
  • 1997-06. Breakdown of the hard thermal loop expansion for quasi-real photons production in ZEITSCHRIFT FÜR PHYSIK C PARTICLES AND FIELDS
  • 1994-06. Soft photon production rate in resummed perturbation theory of high temperature QCD in ZEITSCHRIFT FÜR PHYSIK C PARTICLES AND FIELDS
  • 1989-03. Finite temperature QCD corrections to lepton-pair formation in a quark-gluon plasma in ZEITSCHRIFT FÜR PHYSIK C PARTICLES AND FIELDS
  • 2001-11-27. Photon Emission from Ultrarelativistic Plasmas in JOURNAL OF HIGH ENERGY PHYSICS
  • 2000-09. Leontovich relations in thermal field theory in EUROPEAN PHYSICAL JOURNAL C
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1088/1126-6708/2002/05/043

    DOI

    http://dx.doi.org/10.1088/1126-6708/2002/05/043

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1050906127


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