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Title: Nonequilibrium fixed points in longitudinally expanding scalar theories: Infrared cascade, Bose condensation and a challenge for kinetic theory

Abstract

In [Phys. Rev. Lett. 114, 061601 (2015)], we reported on a new universality class for longitudinally expanding systems, encompassing strongly correlated non-Abelian plasmas and N-component self-interacting scalar field theories. Using classical-statistical methods, we showed that these systems share the same self-similar scaling properties for a wide range of momenta in a limit where particles are weakly coupled but their occupancy is high. Here we significantly expand on our previous work and delineate two further self-similar regimes. One of these occurs in the deep infrared (IR) regime of very high occupancies, where the nonequilibrium dynamics leads to the formation of a Bose-Einstein condensate. The universal IR scaling exponents and the spectral index characterizing the isotropic IR distributions are described by an effective theory derived from a systematic large-N expansion at next-to-leading order. Remarkably, this effective theory can be cast as a vertex-resummed kinetic theory. The other novel self-similar regime occurs close to the hard physical scale of the theory, and sets in only at later times. In this study, we argue that the important role of the infrared dynamics ensures that key features of our results for scalar and gauge theories cannot be reproduced consistently in conventional kinetic theory frameworks.

Authors:
 [1];  [2];  [3];  [2]
  1. Univ. Heidelberg, Heidelberg (Germany); ExtreMe Matter Institute (EMMI), GSI Helmholtzzentrum fur Schwerionenforschung GmbH, Darmstadt (Germany)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
  3. Univ. Heidelberg, Heidelberg (Germany)
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1246813
Alternate Identifier(s):
OSTI ID: 1225387
Report Number(s):
BNL-112019-2016-JA
Journal ID: ISSN 1550-7998; PRVDAQ; R&D Project: 08870; KB0301020
Grant/Contract Number:  
SC00112704; SC0012704; AC02-05CH11231
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 92; Journal Issue: 9; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Berges, J., Schlichting, S., Boguslavski, K., and Venugopalan, R. Nonequilibrium fixed points in longitudinally expanding scalar theories: Infrared cascade, Bose condensation and a challenge for kinetic theory. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.92.096006.
Berges, J., Schlichting, S., Boguslavski, K., & Venugopalan, R. Nonequilibrium fixed points in longitudinally expanding scalar theories: Infrared cascade, Bose condensation and a challenge for kinetic theory. United States. https://doi.org/10.1103/PhysRevD.92.096006
Berges, J., Schlichting, S., Boguslavski, K., and Venugopalan, R. 2015. "Nonequilibrium fixed points in longitudinally expanding scalar theories: Infrared cascade, Bose condensation and a challenge for kinetic theory". United States. https://doi.org/10.1103/PhysRevD.92.096006. https://www.osti.gov/servlets/purl/1246813.
@article{osti_1246813,
title = {Nonequilibrium fixed points in longitudinally expanding scalar theories: Infrared cascade, Bose condensation and a challenge for kinetic theory},
author = {Berges, J. and Schlichting, S. and Boguslavski, K. and Venugopalan, R.},
abstractNote = {In [Phys. Rev. Lett. 114, 061601 (2015)], we reported on a new universality class for longitudinally expanding systems, encompassing strongly correlated non-Abelian plasmas and N-component self-interacting scalar field theories. Using classical-statistical methods, we showed that these systems share the same self-similar scaling properties for a wide range of momenta in a limit where particles are weakly coupled but their occupancy is high. Here we significantly expand on our previous work and delineate two further self-similar regimes. One of these occurs in the deep infrared (IR) regime of very high occupancies, where the nonequilibrium dynamics leads to the formation of a Bose-Einstein condensate. The universal IR scaling exponents and the spectral index characterizing the isotropic IR distributions are described by an effective theory derived from a systematic large-N expansion at next-to-leading order. Remarkably, this effective theory can be cast as a vertex-resummed kinetic theory. The other novel self-similar regime occurs close to the hard physical scale of the theory, and sets in only at later times. In this study, we argue that the important role of the infrared dynamics ensures that key features of our results for scalar and gauge theories cannot be reproduced consistently in conventional kinetic theory frameworks.},
doi = {10.1103/PhysRevD.92.096006},
url = {https://www.osti.gov/biblio/1246813}, journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
issn = {1550-7998},
number = 9,
volume = 92,
place = {United States},
year = {Thu Nov 05 00:00:00 EST 2015},
month = {Thu Nov 05 00:00:00 EST 2015}
}

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Cited by: 36 works
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Works referencing / citing this record:

Kinetic theory of nonthermal fixed points in a Bose gas
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Highly occupied gauge theories in 2 + 1 dimensions: A self-similar attractor
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