Classical transport theory and hard thermal loops in the quark-gluon plasma

Journal Article · Thu Sep 15 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.4209· OSTI ID:7007467

Kelly, P F; Liu, Q; Lucchesi, C; Manuel, C ^[1]

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1. Center for Theoretical Physics, Laboratory for Nuclear Science, Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

Classical transport theory for colored particles is investigated and employed to derive the hard thermal loops of QCD. A formal construction of phase space for color degrees of freedom is presented. The gauge invariance of the non-Abelian Vlasov equations is verified and used as a guiding principle in our approximation scheme. We then derive the generating functional of hard thermal loops from a constraint satisfied at leading order by the color current. This derivation is more direct than alternative ones based on perturbative quantum field theory, and shows that hard thermal effects in hot QCD are essentially [ital classical]. As an illustration, we analyze color polarization in the QCD plasma.

• DOE Contract Number: FC02-94ER40818
• OSTI ID: 7007467
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:6; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662230* -- Quantum Chromodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOLTZMANN-VLASOV EQUATION
BOSONS
COLOR MODEL
COMPOSITE MODELS
DEGREES OF FREEDOM
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
GLUONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PERTURBATION THEORY
PHASE SPACE
PLASMA
POLARIZATION
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
SPACE
TRANSPORT THEORY