A simple sum rule for the thermal gluon spectral function and applications | Zendy

P. Aurenche | Zendy; François Gelis | Zendy; Haitham Zaraket | Zendy

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

Author(s) -

P. Aurenche,

François Gelis,

Haitham Zaraket

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/05/043

Subject(s) - sum rule in quantum mechanics , physics , gluon , simple (philosophy) , function (biology) , expression (computer science) , quark–gluon plasma , spectral function , quantum chromodynamics , order (exchange) , quark , particle physics , quantum electrodynamics , philosophy , epistemology , finance , evolutionary biology , computer science , programming language , economics , biology , condensed matter physics

In this paper, we derive a simple sum rule satisfied by the gluon spectralfunction at finite temperature. This sum rule is useful in order to calculateexactly some integrals that appear frequently in the photon or dileptonproduction rate by a quark gluon plasma. Using this sum rule, we rederivesimply some known results and obtain some new results that would be extremelydifficult to justify otherwise. In particular, we derive an exact expressionfor the collision integral that appears in the calculation of theLandau-Pomeranchuk-Migdal effect.Comment: 24 latex pages, 2 postscript figure

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