Pion Production from Baked-Alaska Disoriented Chiral Condensate

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Abstract

We study the various stages of the evolution of chiral condensates disoriented via the ``baked-alaska'' mechanism, in which the condensates are described as the products of external sources localized on the light cone. Our analysis is based on the classical equations of motion of either the linear or the nonlinear sigma model. We use the associated framework of coherent states and, especially, their source functions to make the connection to the distribution functions for the produced particles. We also compare our classical approach with a mean-field calculation which includes a certain class of quantum corrections.

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Most cited references 4

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Can Disordered Chiral Condensates Form? A Dynamical Perspective

R. Holman, H. de Vega, D. Boyanovsky (1994)

We address the issue of whether a region of disordered chiral condensate (DCC), in which the chiral condensate has components along the pion directions, can form. We consider a system going through the chiral phase transition either via a quench, or via relaxation of the high temperature phase to the low temperature one within a given time scale (of order

$\sim 1 \rm{fm/c}$ ). We use a density matrix based formalism that takes both thermal and quantum fluctuations into account non-perturbatively to argue that if the

$O(4)$ linear sigma model is the correct way to model the situation in QCD, then it is very unlikely at least in the Hartree approximation, that a large (

$> 10\ \rm{fm}$ ) DCC region will form. Typical sizes of such regions are

$\sim 1 -2 \ \rm{fm}$ and the density of pions in such regions is at most of order

$\sim 0.2 / \rm{fm}^3$ . We end with some speculations on how large DCC regions may be formed.

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QUANTUM-STATISTICAL SPACE-TIME APPROACH TO BOSE-EINSTEIN CORRELATIONS AND MULTIPLICITY DISTRIBUTIONS

R.M. WEINER, M. Plümer, I.V. ANDREEV (1993)

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Time evolution of the chiral phase transition during a spherical expansion

, , (2010)

We examine the non-equilibrium time evolution of the hadronic plasma produced in a relativistic heavy ion collision, assuming a spherical expansion into the vacuum. We study the

$O(4)$ linear sigma model to leading order in a large-

$N$ expansion. Starting at a temperature above the phase transition, the system expands and cools, finally settling into the broken symmetry vacuum state. We consider the proper time evolution of the effective pion mass, the order parameter

$\langle \sigma \rangle$ , and the particle number distribution. We examine several different initial conditions and look for instabilities (exponentially growing long wavelength modes) which can lead to the formation of disoriented chiral condensates (DCCs). We find that instabilities exist for proper times which are less than 3 fm/c. We also show that an experimental signature of domain growth is an increase in the low momentum spectrum of outgoing pions when compared to an expansion in thermal equilibrium. In comparison to particle production during a longitudinal expansion, we find that in a spherical expansion the system reaches the ``out'' regime much faster and more particles get produced. However the size of the unstable region, which is related to the domain size of DCCs, is not enhanced.

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Author and article information

Journal

Publication date Created: 27 June 1997

Publication date Updated: 1997-07-07

Article

DOI: 10.1103/PhysRevD.56.6942

ArXiV ID: hep-ph/9706530

SO-VID: 6ce2d546-52da-4427-a6e8-93b8d023fe0d

History

Custom metadata

Report No SLAC-PUB-7565

Journal reference Phys.Rev. D56 (1997) 6942-6956

Comments replaced to correct misspelling of author's name

Categories hep-ph

ScienceOpen disciplines: High energy & Particle physics

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ScienceOpen disciplines: High energy & Particle physics

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