Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-04-29
Phys.Rev. D51 (1995) 2377-2397
Physics
High Energy Physics
High Energy Physics - Phenomenology
49 pages, figures available by request
Scientific paper
10.1103/PhysRevD.51.2377
The nonequilibrium dynamics of the chiral phase transition expected during the expansion of the quark-qluon plasma produced in a high energy hadron or heavy ion collision is studied in the O(4) linear sigma model to leading order in a large $N$ 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 $<\sigma>$ as well as for the pion two point correlation function expressed in terms of a time dependent phase space number density and pair correlation density. We determine the phase space of initial conditions that lead to instabilities (exponentially growing long wave length modes) as the system evolves in time. These instabilities are what eventually lead to disoriented chiral condensates. In our simulations,we found that instabilities that are formed during the initial phases of the expansion exist for proper times that are at most $3 fm/c$ and lead to condensate regions that do not contain large numbers of particles. The damping of instabilities is a consequence of strong coupling.
Cooper Fred
Kluger Yuval
Mottola Emil
Paz Juan Pablo
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