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Nonequilibrium evolution of a “tsunami,” a high multiplicity initial quantum state: Dynamical symmetry breaking

Daniel Boyanovsky, Hector J. de Vega, Richard Holman, Prem Kumar Orcid Logo, Robert D Pisarski

Physical Review D, Volume: 57, Issue: 6, Pages: 3653 - 3669

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1103/PhysRevD.57.3653

Abstract

We propose to study the non-equilibrium features of heavy-ion collisions by following the evolution of an initial state with a large number of quanta with a distribution around a momentum |⃗k0| corresponding to a thin spherical shell in momentum space, a ‘tsunami’. An O(N) (Φ⃗2)2 model field theory...

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Published in: Physical Review D
Published: 1998
URI: https://cronfa.swan.ac.uk/Record/cronfa16122
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spelling 2020-07-16T14:42:57.7916789 v2 16122 2013-09-20 Nonequilibrium evolution of a “tsunami,” a high multiplicity initial quantum state: Dynamical symmetry breaking 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2013-09-20 SPH We propose to study the non-equilibrium features of heavy-ion collisions by following the evolution of an initial state with a large number of quanta with a distribution around a momentum |⃗k0| corresponding to a thin spherical shell in momentum space, a ‘tsunami’. An O(N) (Φ⃗2)2 model field theory in the large N limit is used as a framework to study the non-perturbative aspects of the non-equilibrium dynamics including a resummation of the effects of the medium (the initial particle distribution). In a theory where the symmetry is spontaneously broken in the absence of the medium, when the initial number of particles per correlation volume is chosen to be larger than a critical value the medium effects can restore the symmetry of the initial state. We show that if one begins with such a symmetry-restored, non-thermal, initial state, non-perturbative effects automatically induce spinodal instabilities leading to a dynamical breaking of the symmetry. As a result there is explosive particle production and a redistribution of the particles towards low momentum due to the nonlinearity of the dynamics. The asymptotic behavior displays the onset of Bose condensation of pions and the equation of state at long times is that of an ultrarelativistic gas although the momentum distribution is non-thermal. Journal Article Physical Review D 57 6 3653 3669 31 12 1998 1998-12-31 10.1103/PhysRevD.57.3653 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-16T14:42:57.7916789 2013-09-20T10:54:52.5930397 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Daniel Boyanovsky 1 Hector J. de Vega 2 Richard Holman 3 Prem Kumar 0000-0003-0867-4213 4 Robert D Pisarski 5
title Nonequilibrium evolution of a “tsunami,” a high multiplicity initial quantum state: Dynamical symmetry breaking
spellingShingle Nonequilibrium evolution of a “tsunami,” a high multiplicity initial quantum state: Dynamical symmetry breaking
Prem Kumar
title_short Nonequilibrium evolution of a “tsunami,” a high multiplicity initial quantum state: Dynamical symmetry breaking
title_full Nonequilibrium evolution of a “tsunami,” a high multiplicity initial quantum state: Dynamical symmetry breaking
title_fullStr Nonequilibrium evolution of a “tsunami,” a high multiplicity initial quantum state: Dynamical symmetry breaking
title_full_unstemmed Nonequilibrium evolution of a “tsunami,” a high multiplicity initial quantum state: Dynamical symmetry breaking
title_sort Nonequilibrium evolution of a “tsunami,” a high multiplicity initial quantum state: Dynamical symmetry breaking
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Prem Kumar
author2 Daniel Boyanovsky
Hector J. de Vega
Richard Holman
Prem Kumar
Robert D Pisarski
format Journal article
container_title Physical Review D
container_volume 57
container_issue 6
container_start_page 3653
publishDate 1998
institution Swansea University
doi_str_mv 10.1103/PhysRevD.57.3653
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 0
active_str 0
description We propose to study the non-equilibrium features of heavy-ion collisions by following the evolution of an initial state with a large number of quanta with a distribution around a momentum |⃗k0| corresponding to a thin spherical shell in momentum space, a ‘tsunami’. An O(N) (Φ⃗2)2 model field theory in the large N limit is used as a framework to study the non-perturbative aspects of the non-equilibrium dynamics including a resummation of the effects of the medium (the initial particle distribution). In a theory where the symmetry is spontaneously broken in the absence of the medium, when the initial number of particles per correlation volume is chosen to be larger than a critical value the medium effects can restore the symmetry of the initial state. We show that if one begins with such a symmetry-restored, non-thermal, initial state, non-perturbative effects automatically induce spinodal instabilities leading to a dynamical breaking of the symmetry. As a result there is explosive particle production and a redistribution of the particles towards low momentum due to the nonlinearity of the dynamics. The asymptotic behavior displays the onset of Bose condensation of pions and the equation of state at long times is that of an ultrarelativistic gas although the momentum distribution is non-thermal.
published_date 1998-12-31T03:18:25Z
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score 11.016235

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