Quantum evolution of disoriented chiral condensates

The nonequilibrium evolution of the hadronic plasma produced in a high energy heavy ion collision is studied in the O(4) linear [sigma] model to leading order in a large [ital N] expansion. Starting from an approximate equilibrium configuration at an initial proper time [tau] in the disordered phase...

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Bibliographic Details
Published in:Physical review. D, Particles and fields Particles and fields, 1995-03, Vol.51 (5), p.2377-2397
Main Authors: Cooper, F, Kluger, Y, Mottola, E, Paz, JP
Format: Article
Language:English
Subjects:
661300 > Other Aspects of Physical Science-- (1992-)
663450 > Heavy-Ion-Induced Reactions & Scattering-- (1992-)
BOSON-EXCHANGE MODELS
BOSONS
CHARGED-PARTICLE REACTIONS
CHIRAL SYMMETRY
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CONDENSATES
CORRELATION FUNCTIONS
DYNAMICAL GROUPS
ELEMENTARY PARTICLES
FUNCTIONS
HADRONS
HEAVY ION REACTIONS
INSTABILITY
LIE GROUPS
MASS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MESONS
NON-EQUILIBRIUM PLASMA
NUCLEAR PHYSICS AND RADIATION PHYSICS
NUCLEAR REACTIONS
O GROUPS
ORDER-DISORDER TRANSFORMATIONS
PARTICLE MODELS
PERIPHERAL MODELS
PHASE SPACE
PHASE TRANSFORMATIONS
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PIONS
PLASMA
PSEUDOSCALAR MESONS
SIGMA MODEL
SPACE
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS 662230 > Quantum Chromodynamics-- (1992-)
TIME DEPENDENCE
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Summary:The nonequilibrium evolution of the hadronic plasma produced in a high energy heavy ion collision is studied in the O(4) linear [sigma] model to leading order in a large [ital N] expansion. Starting from an approximate equilibrium configuration at an initial proper time [tau] in the disordered phase we study the transition to the ordered broken symmetry phase as the system expands and cools. We give results for the proper time evolution of the effective pion mass, the order parameter [l angle][sigma][r angle] as well as for the pion two point correlation function. We study the phase space of initial conditions that lead to instabilities (exponentially growing long wavelength modes) which can lead to disoriented chiral condensates. We find that as a consequence of the strong self-coupling instabilities can exist for proper times that are at most 3 fm/[ital c] and lead to condensate regions that do not contain large number of particles.
ISSN:0556-2821
1089-4918
DOI:10.1103/physrevd.51.2377