QCD evolution equations for high energy partons in nuclear matter

Journal Article · Fri Jul 01 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.337· OSTI ID:7233165

Geiger, K ^[1]; Mueller, B ^[2]

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1. Centre Europeen de Recherches Nucleaires, TH-Division, CH-1211 Geneva 23 (Switzerland) Institute for Theoretical Physics, University of California, Santa Barbara, California 93106 (United States)
2. Department of Physics, Duke University, Durham, North Carolina 27708-0305 (United States)

We derive a generalized form of Altarelli-Parisi equations to describe the time evolution of parton distributions in a nuclear medium. In the framework of the leading logarithmic approximation, we obtain a set of coupled integro-differential equations for the parton distribution functions and equations for the virtuality ( age'') distribution of partons. In addition to parton branching processes, we take into account fusion and scattering processes that are specific to QCD in medium. Detailed balance between gain and loss terms in the resulting evolution equations correctly accounts for both real and virtual contributions which yields a natural cancellation of infrared divergences.

• DOE Contract Number: FG05-90ER40592; FG02-87ER40328
• OSTI ID: 7233165
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:1; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662230 -- Quantum Chromodynamics-- (1992-)
663300 -- Nuclear Reactions & Scattering
General-- (1992-)
663450* -- Heavy-Ion-Induced Reactions & Scattering-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DETAILED BALANCE PRINCIPLE
DIFFERENTIAL EQUATIONS
DISTRIBUTION
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
INFRARED DIVERGENCES
INVARIANCE PRINCIPLES
MATTER
NUCLEAR MATTER
PARTIAL DIFFERENTIAL EQUATIONS
PARTONS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
SCATTERING
T INVARIANCE