skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Universal Self-Similar Scaling of Spatial Wilson Loops Out of Equilibrium

Abstract

Here we investigate strongly correlated non-Abelian plasmas out of equilibrium. Based on numerical simulations, we establish a self-similar scaling property for the time evolution of spatial Wilson loops that characterizes a universal state of matter far from equilibrium. Most remarkably, it exhibits a generalized area law which holds for a sufficiently large ratio of spatial area and fractional power of time. Performing calculations also for the perturbative regime at higher momenta, we are able to characterize the full nonthermal scaling properties of SU(2) and SU(3) symmetric plasmas from short to large distance scales in terms of two independent universal exponents and associated scaling functions.

Authors:
 [1];  [2];  [3]
  1. University of Heidelberg (Germany)
  2. Stony Brook University, NY (United States)
  3. University of Washington, Seattle, WA (United States)
Publication Date:
Research Org.:
State Univ. of New York (SUNY), Albany, NY (United States); Univ. of Washington, Seattle, WA (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1536504
Alternate Identifier(s):
OSTI ID: 1356742
Grant/Contract Number:  
FG02-88ER40388; FG02-97ER41014; AC02-05CH11231; SC0012704
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 118; Journal Issue: 19; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; quark-gluon plasma; relativistic heavy-ion collisions

Citation Formats

Berges, J., Mace, M., and Schlichting, S. Universal Self-Similar Scaling of Spatial Wilson Loops Out of Equilibrium. United States: N. p., 2017. Web. doi:10.1103/physrevlett.118.192005.
Berges, J., Mace, M., & Schlichting, S. Universal Self-Similar Scaling of Spatial Wilson Loops Out of Equilibrium. United States. https://doi.org/10.1103/physrevlett.118.192005
Berges, J., Mace, M., and Schlichting, S. 2017. "Universal Self-Similar Scaling of Spatial Wilson Loops Out of Equilibrium". United States. https://doi.org/10.1103/physrevlett.118.192005. https://www.osti.gov/servlets/purl/1536504.
@article{osti_1536504,
title = {Universal Self-Similar Scaling of Spatial Wilson Loops Out of Equilibrium},
author = {Berges, J. and Mace, M. and Schlichting, S.},
abstractNote = {Here we investigate strongly correlated non-Abelian plasmas out of equilibrium. Based on numerical simulations, we establish a self-similar scaling property for the time evolution of spatial Wilson loops that characterizes a universal state of matter far from equilibrium. Most remarkably, it exhibits a generalized area law which holds for a sufficiently large ratio of spatial area and fractional power of time. Performing calculations also for the perturbative regime at higher momenta, we are able to characterize the full nonthermal scaling properties of SU(2) and SU(3) symmetric plasmas from short to large distance scales in terms of two independent universal exponents and associated scaling functions.},
doi = {10.1103/physrevlett.118.192005},
url = {https://www.osti.gov/biblio/1536504}, journal = {Physical Review Letters},
issn = {0031-9007},
number = 19,
volume = 118,
place = {United States},
year = {Thu May 11 00:00:00 EDT 2017},
month = {Thu May 11 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 15 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Turbulent thermalization process in heavy-ion collisions at ultrarelativistic energies
journal, April 2014


Universal attractor in a highly occupied non-Abelian plasma
journal, June 2014


Universality Far from Equilibrium: From Superfluid Bose Gases to Heavy-Ion Collisions
journal, February 2015


Duality in Generalized Ising Models and Phase Transitions without Local Order Parameters
journal, October 1971


Quantum Gravity
book, January 2004


Ultraviolet cascade in classical Yang-Mills theory
journal, September 2012


Some features of the glasma
journal, June 2006


Off-equilibrium sphaleron transitions in the glasma
journal, April 2016


UV cascade in classical Yang-Mills theory via kinetic theory
journal, April 2014


Bottom-up isotropization in classical-statistical lattice gauge theory
journal, February 2008


Structure of longitudinal chromomagnetic fields in high energy collisions
journal, June 2014


Nonthermal Fixed Points: Effective Weak Coupling for Strongly Correlated Systems Far from Equilibrium
journal, July 2008


Isotropization and Hydrodynamization in Weakly Coupled Heavy-Ion Collisions
journal, October 2015


Simulating plasma instabilities in <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="normal">SU</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> gauge theory
journal, June 2009


Confinement of quarks
journal, October 1974


The Color Glass Condensate
journal, November 2010


QCD and instantons at finite temperature
journal, January 1981


Turbulent thermalization of weakly coupled non-Abelian plasmas
journal, September 2012