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Highly occupied gauge theories in 2+1 dimensions: self-similar attractor

Motivated by the boost-invariant Glasma state in the initial stages in heavy-ion collisions, we perform classical-statistical simulations of SU(2) gauge theory in 2+1 dimensional space-time both with and without a scalar field in the adjoint representation. We show that irrespective of the details o...

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Detalles Bibliográficos
Autores principales: Boguslavski, K., Kurkela, A., Lappi, T., Peuron, J.
Lenguaje:eng
Publicado: 2019
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.100.094022
http://cds.cern.ch/record/2682981
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author Boguslavski, K.
Kurkela, A.
Lappi, T.
Peuron, J.
author_facet Boguslavski, K.
Kurkela, A.
Lappi, T.
Peuron, J.
author_sort Boguslavski, K.
collection CERN
description Motivated by the boost-invariant Glasma state in the initial stages in heavy-ion collisions, we perform classical-statistical simulations of SU(2) gauge theory in 2+1 dimensional space-time both with and without a scalar field in the adjoint representation. We show that irrespective of the details of the initial condition, the far-from-equilibrium evolution of these highly occupied systems approaches a unique universal attractor at high momenta that is the same for the gauge and scalar sectors. We extract the scaling exponents and the form of the distribution function close to this nonthermal fixed point. We find that the dynamics are governed by an energy cascade to higher momenta with scaling exponents α=3β and β=-1/5. We argue that these values can be obtained from parametric estimates within kinetic theory indicating the dominance of small momentum transfer in the scattering processes. We also extract the Debye mass nonperturbatively from a longitudinally polarized correlator and observe an IR enhancement of the scalar correlation function for low momenta below the Debye mass.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2019
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spelling cern-26829812023-10-04T08:58:45Zdoi:10.1103/PhysRevD.100.094022http://cds.cern.ch/record/2682981engBoguslavski, K.Kurkela, A.Lappi, T.Peuron, J.Highly occupied gauge theories in 2+1 dimensions: self-similar attractorhep-latParticle Physics - Latticehep-phParticle Physics - PhenomenologyMotivated by the boost-invariant Glasma state in the initial stages in heavy-ion collisions, we perform classical-statistical simulations of SU(2) gauge theory in 2+1 dimensional space-time both with and without a scalar field in the adjoint representation. We show that irrespective of the details of the initial condition, the far-from-equilibrium evolution of these highly occupied systems approaches a unique universal attractor at high momenta that is the same for the gauge and scalar sectors. We extract the scaling exponents and the form of the distribution function close to this nonthermal fixed point. We find that the dynamics are governed by an energy cascade to higher momenta with scaling exponents α=3β and β=-1/5. We argue that these values can be obtained from parametric estimates within kinetic theory indicating the dominance of small momentum transfer in the scattering processes. We also extract the Debye mass nonperturbatively from a longitudinally polarized correlator and observe an IR enhancement of the scalar correlation function for low momenta below the Debye mass.Motivated by the boost-invariant Glasma state in the initial stages in heavy-ion collisions, we perform classical-statistical simulations of SU(2) gauge theory in 2+1 dimensional space-time both with and without a scalar field in the adjoint representation. We show that irrespective of the details of the initial condition, the far-from-equilibrium evolution of these highly occupied systems approaches a unique universal attractor at high momenta that is the same for the gauge and scalar sectors. We extract the scaling exponents and the form of the distribution function close to this non-thermal fixed point. We find that the dynamics are governed by an energy cascade to higher momenta with scaling exponents $\alpha = 3\beta$ and $\beta = -1/5$. We argue that these values can be obtained from parametric estimates within kinetic theory indicating the dominance of small momentum transfer in the scattering processes. We also extract the Debye mass non-perturbatively from a longitudinally polarized correlator and observe an IR enhancement of the scalar correlation function for low momenta below the Debye mass.arXiv:1907.05892CERN-TH-2019-115oai:cds.cern.ch:26829812019-07-12
spellingShingle hep-lat
Particle Physics - Lattice
hep-ph
Particle Physics - Phenomenology
Boguslavski, K.
Kurkela, A.
Lappi, T.
Peuron, J.
Highly occupied gauge theories in 2+1 dimensions: self-similar attractor
title Highly occupied gauge theories in 2+1 dimensions: self-similar attractor
title_full Highly occupied gauge theories in 2+1 dimensions: self-similar attractor
title_fullStr Highly occupied gauge theories in 2+1 dimensions: self-similar attractor
title_full_unstemmed Highly occupied gauge theories in 2+1 dimensions: self-similar attractor
title_short Highly occupied gauge theories in 2+1 dimensions: self-similar attractor
title_sort highly occupied gauge theories in 2+1 dimensions: self-similar attractor
topic hep-lat
Particle Physics - Lattice
hep-ph
Particle Physics - Phenomenology
url https://dx.doi.org/10.1103/PhysRevD.100.094022
http://cds.cern.ch/record/2682981
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AT kurkelaa highlyoccupiedgaugetheoriesin21dimensionsselfsimilarattractor
AT lappit highlyoccupiedgaugetheoriesin21dimensionsselfsimilarattractor
AT peuronj highlyoccupiedgaugetheoriesin21dimensionsselfsimilarattractor