Transport properties of a quark plasma and critical scattering at the chiral phase transition

Journal Article · Fri Mar 31 23:00:00 EST 1995 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.51.3728· OSTI ID:6547657

Zhuang, P; Huefner, J; Klevansky, S P; Neise, L ^[1]

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1. Institut fuer Theoretische Physik, Universitaet Heidelberg, Philosophenweg 19, D-69120 Heidelberg (Germany)

The dissipative phenomena of a quark plasma are studied within the two flavor Nambu--Jona-Lasinio model at and above the chiral phase transition. In a medium, [ital qq], [ital q[bar q]], and [ital [bar q][bar q]] cross sections are calculated to order 1/[ital N][sub [ital c]] and correspond to [pi] and [sigma] meson exchanges in [ital s] and [ital t] channels. The angle-integrated [ital q[bar q]] cross section [sigma]([ital s],[ital T]), calculated at the c.m. energy [ital s]=[ital m][sub [sigma]][sup 2] and temperature [ital T], is found to display a singularity of the form [vert bar][ital T][minus][ital T][sub [ital c]][vert bar][sup [minus]1] at the chiral phase transition (critical scattering). The mean free path [lambda]([ital T]) and the shear viscosity coefficient [eta]([ital T]) are computed. At [ital T]=[ital T][sub [ital c]], [lambda]=4 fm and drops like [ital T][sup [minus]1] for [ital T][gt][ital T][sub [ital c]]. For the shear viscosity, we find [eta]/[ital T][sup 3][congruent]7 around the critical point, in good agreement with calculations made in a perturbative QCD approach for a quark-gluon plasma. Critical scattering leads to a 15% dip of [eta] at the phase transition.

• OSTI ID: 6547657
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 51:7; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
662230* -- Quantum Chromodynamics-- (1992-)
663300 -- Nuclear Reactions & Scattering
General-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYONS
BOSONS
CHIRAL SYMMETRY
CROSS SECTIONS
ELEMENTARY PARTICLES
FERMIONS
HADRONS
HYPERONS
MESONS
PHASE TRANSFORMATIONS
PIONS
PLASMA
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUARKS
SCATTERING
SIGMA BARYONS
SIGMA PARTICLES
SINGULARITY
STRANGE PARTICLES
SYMMETRY
TRANSPORT