Cited by 253High-Energy Particle Collisions ResearchQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studies

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Collective Non-Abelian Instabilities in a Melting Color Glass Condensate

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Romatschke, Paul, Venugopalan, Raju·2006·Physical Review Letters

DOI 10.1103/physrevlett.96.062302

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Abstract

We present first results for ($3+1$)D simulations of SU(2) Yang-Mills equations for matter expanding into the vacuum after a heavy ion collision. Violations of boost invariance cause a non-Abelian Weibel instability leading soft modes to grow with proper time $\ensuremath{\tau}$ as $\mathrm{exp}(\ensuremath{\Gamma}\sqrt{{g}^{2}\ensuremath{\mu}\ensuremath{\tau}})$, where ${g}^{2}\ensuremath{\mu}$ is a scale arising from the saturation of gluons in the nuclear wave function. The scale for the growth rate $\ensuremath{\Gamma}$ is set by a plasmon mass, defined as ${\ensuremath{\omega}}_{\mathrm{pl}}={\ensuremath{\kappa}}_{0}\sqrt{{g}^{2}\ensuremath{\mu}/\ensuremath{\tau}}$, generated dynamically in the collision. We compare the numerical ratio $\ensuremath{\Gamma}/{\ensuremath{\kappa}}_{0}$ to the corresponding value predicted by the hard thermal loop formalism for anisotropic plasmas.

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“[47] P.”
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Self-citation
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Background
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Background
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Background
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Background
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“Many mechanisms have been proposed to achieve a fast isotropisation, for example plasma instabilities [5–31], chaotic behavior [32–35] or strong coupling behavior as simulated by AdS/CFT models [36–41], but none seems completely satisfactory so far.”
Background
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“which has successfully been used as an indicator for this purpose in the past [35, 53].”
MethodSelf-citation
Real time quantum gravity dynamics from classical statistical Yang-Mills simulations
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Authors: Romatschke, P., & Venugopalan, R.
Affiliations: Bielefeld University (DE)
ORCID: Romatschke, Paul
Venue: Physical Review Letters
Publisher: American Physical Society (APS)
Published: 2006-02-14
Volume: 96
Issue: 6
Pages: 062302-062302
ISSN: 0031-9007 (ISSN-L)
1079-7114
DOI: 10.1103/physrevlett.96.062302
OpenAlex: W2072867672
Cited by: 253
References: 44
Citations by year: 2026: 2 · 2025: 4 · 2024: 5 · 2023: 6 · 2022: 7 · 2021: 8 · 2020: 5 · 2019: 19 · 2018: 7 · 2017: 11 · 2016: 13 · 2015: 10 · 2014: 13 · 2013: 18 · 2012: 14
FWCI: 15.92
Type: journal article
Language: en
Open access: green
arxiv.org
Licence: link.aps.org/licenses/aps-default-license (vor)
Locations: Physical Review Letters (publishedVersion)
PubMed (publishedVersion)
arXiv (Cornell University) (submittedVersion)
CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
arXiv (Cornell University)
Topics: Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › High-Energy Particle Collisions Research
Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
Keywords: color glass condensate, SU(2) gauge theory, heavy-ion collisions, gluon saturation, collective instabilities, hard thermal loops, anisotropic plasma, quark-gluon plasma

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Collective Non-Abelian Instabilities in a Melting Color Glass Condensate

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