Gauge turbulence, topological defect dynamics, and condensation in Higgs models
Abstract
The real-time dynamics of topological defects and turbulent configurations of gauge fields for electric and magnetic confinement are studied numerically within a 2+1D Abelian Higgs model. It is shown that confinement is appearing in such systems equilibrating after a strong initial quench such as the overpopulation of the infrared modes. While the final equilibrium state does not support confinement, metastable vortex defect configurations appearing in the gauge field are found to be closely related to the appearance of physically observable confined electric and magnetic charges. These phenomena are seen to be intimately related to the approach of a non-thermal fixed point of the far-from-equilibrium dynamical evolution, signaled by universal scaling in the gauge-invariant correlation function of the Higgs field. Even when the parameters of the Higgs action do not support condensate formation in the vacuum, during this approach, transient Higgs condensation is observed. We discuss implications of these results for the far-from-equilibrium dynamics of Yang–Mills fields and potential mechanisms of how confinement and condensation in non-Abelian gauge fields can be understood in terms of the dynamics of Higgs models. These suggest that there is an interesting new class of dynamics of strong coherent turbulent gauge fields with condensates.
- Authors:
-
- Heidelberg Univ. (Germany). Inst. for Theoretische Physik; GSI-Darmstadt (Germany). ExtreMe Matter Inst. (EMMI)
- Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center and Physics Dept.; China Central Normal Univ., Wuhan (China). Physics Dept.
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1176988
- Alternate Identifier(s):
- OSTI ID: 1556598
- Report Number(s):
- BNL-107321-2015-JA
Journal ID: ISSN 0375-9474; R&D Project: KB0301020
- Grant/Contract Number:
- AC02-98CH10886; GA677/7/8; HA216/EMMI; ERC-AdG-290623
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nuclear Physics. A
- Additional Journal Information:
- Journal Volume: 930; Journal Issue: C; Journal ID: ISSN 0375-9474
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Condensate formation; Confinement; Far-from-equilibrium dynamics; Non-thermal fixed points; Quark–gluon plasma
Citation Formats
Gasenzer, Thomas, McLerran, Larry, Pawlowski, Jan M., and Sexty, Dénes. Gauge turbulence, topological defect dynamics, and condensation in Higgs models. United States: N. p., 2014.
Web. doi:10.1016/j.nuclphysa.2014.07.030.
Gasenzer, Thomas, McLerran, Larry, Pawlowski, Jan M., & Sexty, Dénes. Gauge turbulence, topological defect dynamics, and condensation in Higgs models. United States. https://doi.org/10.1016/j.nuclphysa.2014.07.030
Gasenzer, Thomas, McLerran, Larry, Pawlowski, Jan M., and Sexty, Dénes. Mon .
"Gauge turbulence, topological defect dynamics, and condensation in Higgs models". United States. https://doi.org/10.1016/j.nuclphysa.2014.07.030. https://www.osti.gov/servlets/purl/1176988.
@article{osti_1176988,
title = {Gauge turbulence, topological defect dynamics, and condensation in Higgs models},
author = {Gasenzer, Thomas and McLerran, Larry and Pawlowski, Jan M. and Sexty, Dénes},
abstractNote = {The real-time dynamics of topological defects and turbulent configurations of gauge fields for electric and magnetic confinement are studied numerically within a 2+1D Abelian Higgs model. It is shown that confinement is appearing in such systems equilibrating after a strong initial quench such as the overpopulation of the infrared modes. While the final equilibrium state does not support confinement, metastable vortex defect configurations appearing in the gauge field are found to be closely related to the appearance of physically observable confined electric and magnetic charges. These phenomena are seen to be intimately related to the approach of a non-thermal fixed point of the far-from-equilibrium dynamical evolution, signaled by universal scaling in the gauge-invariant correlation function of the Higgs field. Even when the parameters of the Higgs action do not support condensate formation in the vacuum, during this approach, transient Higgs condensation is observed. We discuss implications of these results for the far-from-equilibrium dynamics of Yang–Mills fields and potential mechanisms of how confinement and condensation in non-Abelian gauge fields can be understood in terms of the dynamics of Higgs models. These suggest that there is an interesting new class of dynamics of strong coherent turbulent gauge fields with condensates.},
doi = {10.1016/j.nuclphysa.2014.07.030},
journal = {Nuclear Physics. A},
number = C,
volume = 930,
place = {United States},
year = {Mon Jul 28 00:00:00 EDT 2014},
month = {Mon Jul 28 00:00:00 EDT 2014}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 15 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Gluon production at high transverse momentum in the McLerran-Venugopalan model of nuclear structure functions
journal, October 1995
- Kovner, Alex; McLerran, Larry; Weigert, Heribert
- Physical Review D, Vol. 52, Issue 7
Non-perturbative computation of gluon mini-jet production in nuclear collisions at very high energies
journal, September 1999
- Krasnitz, Alex; Venugopalan, Raju
- Nuclear Physics B, Vol. 557, Issue 1-2
Gluon production in the Color Glass Condensate model of collisions of ultrarelativistic finite nuclei
journal, April 2003
- Krasnitz, Alex; Nara, Yasushi; Venugopalan, Raju
- Nuclear Physics A, Vol. 717, Issue 3-4
Production of gluons in the classical field model for heavy ion collisions
journal, May 2003
- Lappi, T.
- Physical Review C, Vol. 67, Issue 5
Some features of the glasma
journal, June 2006
- Lappi, T.; McLerran, L.
- Nuclear Physics A, Vol. 772, Issue 3-4
Gluon recombination and shadowing at small values of x
journal, May 1986
- Mueller, A. H.; Qiu, Jianwei
- Nuclear Physics B, Vol. 268, Issue 2
Gluon distribution functions for very large nuclei at small transverse momentum
journal, April 1994
- McLerran, Larry; Venugopalan, Raju
- Physical Review D, Vol. 49, Issue 7
Bose–Einstein condensation and thermalization of the quark–gluon plasma
journal, January 2012
- Blaizot, Jean-Paul; Gelis, François; Liao, Jinfeng
- Nuclear Physics A, Vol. 873
Thermalization in weakly coupled nonabelian plasmas
journal, December 2011
- Kurkela, Aleksi; Moore, Guy D.
- Journal of High Energy Physics, Vol. 2011, Issue 12
Overpopulated gauge fields on the lattice
journal, October 2012
- Berges, Jürgen; Schlichting, Sören; Sexty, Dénes
- Physical Review D, Vol. 86, Issue 7
Turbulent thermalization process in heavy-ion collisions at ultrarelativistic energies
journal, April 2014
- Berges, J.; Boguslavski, K.; Schlichting, S.
- Physical Review D, Vol. 89, Issue 7
Scenario of strongly nonequilibrated Bose-Einstein condensation
journal, July 2002
- Berloff, Natalia G.; Svistunov, Boris V.
- Physical Review A, Vol. 66, Issue 1
Bose-Einstein Condensation in Relativistic Field Theories Far from Equilibrium
journal, April 2012
- Berges, Jürgen; Sexty, Dénes
- Physical Review Letters, Vol. 108, Issue 16
Turbulence in nonabelian gauge theory
journal, November 2009
- Berges, Jürgen; Scheffler, Sebastian; Sexty, Dénes
- Physics Letters B, Vol. 681, Issue 4
The evolving Glasma
journal, January 2012
- Fukushima, Kenji; Gelis, François
- Nuclear Physics A, Vol. 874
Turbulent thermalization of weakly coupled non-Abelian plasmas
journal, September 2012
- Schlichting, Sören
- Physical Review D, Vol. 86, Issue 6
Ultraviolet cascade in classical Yang-Mills theory
journal, September 2012
- Kurkela, Aleksi; Moore, Guy D.
- Physical Review D, Vol. 86, Issue 5
Turbulent pattern formation and diffusion in the early-time dynamics in relativistic heavy-ion collisions
journal, February 2014
- Fukushima, Kenji
- Physical Review C, Vol. 89, Issue 2
Superfluid turbulence: Nonthermal fixed point in an ultracold Bose gas
journal, July 2011
- Nowak, Boris; Sexty, Dénes; Gasenzer, Thomas
- Physical Review B, Vol. 84, Issue 2
Nonthermal fixed points, vortex statistics, and superfluid turbulence in an ultracold Bose gas
journal, April 2012
- Nowak, Boris; Schole, Jan; Sexty, Dénes
- Physical Review A, Vol. 85, Issue 4
Charge separation in reheating after cosmological inflation
journal, April 2012
- Gasenzer, Thomas; Nowak, Boris; Sexty, Dénes
- Physics Letters B, Vol. 710, Issue 4-5
Critical dynamics of a two-dimensional superfluid near a nonthermal fixed point
journal, July 2012
- Schole, Jan; Nowak, Boris; Gasenzer, Thomas
- Physical Review A, Vol. 86, Issue 1
Tuning universality far from equilibrium
journal, August 2013
- Karl, Markus; Nowak, Boris; Gasenzer, Thomas
- Scientific Reports, Vol. 3, Issue 1
Nonthermal Fixed Points: Effective Weak Coupling for Strongly Correlated Systems Far from Equilibrium
journal, July 2008
- Berges, Jürgen; Rothkopf, Alexander; Schmidt, Jonas
- Physical Review Letters, Vol. 101, Issue 4
Towards far-from-equilibrium quantum field dynamics: A functional renormalisation-group approach
journal, December 2008
- Gasenzer, Thomas; Pawlowski, Jan M.
- Physics Letters B, Vol. 670, Issue 2
Matter-wave turbulence: Beyond kinetic scaling
journal, March 2010
- Scheppach, Christian; Berges, Jürgen; Gasenzer, Thomas
- Physical Review A, Vol. 81, Issue 3
Non-thermal fixed points and solitons in a one-dimensional Bose gas
journal, July 2012
- Schmidt, Maximilian; Erne, Sebastian; Nowak, Boris
- New Journal of Physics, Vol. 14, Issue 7
Turbulent thermalization
journal, August 2004
- Micha, Raphael; Tkachev, Igor I.
- Physical Review D, Vol. 70, Issue 4
Nonthermal fixed points and the functional renormalization group
journal, June 2009
- Berges, Jürgen; Hoffmeister, Gabriele
- Nuclear Physics B, Vol. 813, Issue 3
Strong versus weak wave-turbulence in relativistic field theory
journal, April 2011
- Berges, Jürgen; Sexty, Dénes
- Physical Review D, Vol. 83, Issue 8
Monopoles, Polyakov Loops, and Gauge Fixing on the Torus
journal, October 1998
- Ford, C.; Mitreuter, U. G.; Tok, T.
- Annals of Physics, Vol. 269, Issue 1
Quark confinement from colour confinement
journal, February 2010
- Braun, Jens; Gies, Holger; Pawlowski, Jan M.
- Physics Letters B, Vol. 684, Issue 4-5
QCD and instantons at finite temperature
journal, January 1981
- Gross, David J.; Pisarski, Robert D.; Yaffe, Laurence G.
- Reviews of Modern Physics, Vol. 53, Issue 1
Effective potential for the order parameter of gauge theories at finite temperature
journal, July 1981
- Weiss, Nathan
- Physical Review D, Vol. 24, Issue 2
Free energy for parameterized Polyakov loops in SU(2) and SU(3) lattice gauge theory
journal, August 2012
- Diakonov, Dmitri; Gattringer, Christof; Schadler, Hans-Peter
- Journal of High Energy Physics, Vol. 2012, Issue 8
Potential of the effective Polyakov line action from the underlying lattice gauge theory
journal, December 2012
- Greensite, Jeff
- Physical Review D, Vol. 86, Issue 11
Two-color QCD with heavy quarks at finite densities
journal, October 2013
- Langfeld, Kurt; Pawlowski, Jan M.
- Physical Review D, Vol. 88, Issue 7
Dynamics of Symmetry Breaking and Tachyonic Preheating
journal, June 2001
- Felder, Gary; García-Bellido, Juan; Greene, Patrick B.
- Physical Review Letters, Vol. 87, Issue 1
False vacuum decay after inflation
journal, June 2001
- Asaka, T.; Buchmüller, W.; Covi, L.
- Physics Letters B, Vol. 510, Issue 1-4
Non-equilibrium Higgs transition in classical scalar electrodynamics
journal, October 2005
- Sexty, Dénes; Patkós, András
- Journal of High Energy Physics, Vol. 2005, Issue 10
Comments on Nonlinear Wave Equations as Models for Elementary Particles
journal, September 1964
- Derrick, G. H.
- Journal of Mathematical Physics, Vol. 5, Issue 9
The magnetic properties of superconducting alloys
journal, January 1957
- Abrikosov, A. A.
- Journal of Physics and Chemistry of Solids, Vol. 2, Issue 3
Vortex-line models for dual strings
journal, September 1973
- Nielsen, H. B.; Olesen, P.
- Nuclear Physics B, Vol. 61
Quasiparticle excitations of the Higgs vacuum at finite energy density
journal, January 2005
- Sexty, D.; Patkós, A.
- Physical Review D, Vol. 71, Issue 2
Works referencing / citing this record:
Prethermalization and universal dynamics in near-integrable quantum systems
journal, June 2016
- Langen, Tim; Gasenzer, Thomas; Schmiedmayer, Jörg
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2016, Issue 6
Quantum simulation of the Abelian-Higgs lattice gauge theory with ultracold atoms
journal, June 2017
- González-Cuadra, Daniel; Zohar, Erez; Cirac, J. Ignacio
- New Journal of Physics, Vol. 19, Issue 6
Kinetic theory of nonthermal fixed points in a Bose gas
journal, April 2019
- Chantesana, Isara; Orioli, Asier Piñeiro; Gasenzer, Thomas
- Physical Review A, Vol. 99, Issue 4
Prethermalization and universal dynamics in near-integrable quantum systems
text, January 2016
- Langen, Tim; Gasenzer, Thomas; Schmiedmayer, Jörg
- arXiv
Functional renormalisation approach to driven dissipative dynamics
preprint, January 2014
- Mathey, Steven
- arXiv