The DOI matches its Crossref record; 44 of the 44 references it cites were found in a registry or an index.
Collective Non-Abelian Instabilities in a Melting Color Glass Condensate
Open accessAbstract
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.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The check wasn’t confident either way, so it gives no verdict — never disputed.
In the citing paper
“There is now a substantial body of experimental data[158, 159] that seems to confirm the presence of such large fluctuations with an impressive identification capability thanks to high performance 4 π detectors.”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [158]
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Adams, J. R., Aggarwal, M. M., Ahammed, Z., Amonett, J., Anderson, B. D., Arkhipkin, D., Averichev, G. S., Badyal, S. K., Bai, Y., Balewski, J. T., et al. (2005) · Nuclear Physics A · doi:10.1016/j.nuclphysa.2005.03.085 · Cited by 3,381
Adcox, K., Adler, S. S., Afanasiev, S., Aidala, C., Ajitanand, N. N., Akiba, Y., Al-Jamel, A., Alexander, J., Amirikas, R., Aoki, K., et al. (2005) · Nuclear Physics A · doi:10.1016/j.nuclphysa.2005.03.086 · Cited by 3,025
Quark–gluon plasma and color glass condensate at RHIC? The perspective from the BRAHMS experiment
Arsene, I. C., Bearden, I. G., Beavis, D., Beşliu, C., Budick, B., Boggild, H., Chasman, C., Christensen, C. H., Christiansen, P., Cibor, J., et al. (2005) · Nuclear Physics A · doi:10.1016/j.nuclphysa.2005.02.130 · Cited by 2,256
The PHOBOS perspective on discoveries at RHIC
Back, B. B., Baker, M. D., Ballintijn, M., Barton, D. S., Becker, B., Betts, R. R., Bickley, A. A., Bindel, R., Budzanowski, A., Busza, W., et al. (2005) · Nuclear Physics A · doi:10.1016/j.nuclphysa.2005.03.084 · Cited by 2,242
Computing quark and gluon distribution functions for very large nuclei
McLerran, L., & Raju Venugopalan, B. (1994) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.49.2233 · Cited by 2,044
Spontaneously Growing Transverse Waves in a Plasma Due to an Anisotropic Velocity Distribution
Weibel, E. S. (1959) · Physical Review Letters · doi:10.1103/physrevlett.2.83 · Cited by 1,713
Green’s function in the color field of a large nucleus
McLerran, L., & Raju Venugopalan, B. (1994) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.50.2225 · Cited by 975
“Bottom-up” thermalization in heavy ion collisions
Baier, R., Mueller, A. H., Schiff, D., & Son, D. T. (2001) · Physics Letters B · doi:10.1016/s0370-2693(01)00191-5 · Cited by 594
Collective modes of an anisotropic quark-gluon plasma
Romatschke, P., & Strickland, M. T. (2003) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.68.036004 · Cited by 477
Self-citationXu, Z., & Greiner, C. (2005) · Physical Review C · doi:10.1103/physrevc.71.064901 · Cited by 467
Gluon production from non-Abelian Weizsäcker-Williams fields in nucleus-nucleus collisions
Kovner, A., McLerran, L., & Weigert, H. (1995) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.52.6231 · Cited by 378
Kovner, A., McLerran, L., & Weigert, H. (1995) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.52.3809 · Cited by 341
Initial Energy Density of Gluons Produced in Very-High-Energy Nuclear Collisions
Alex Krasnitz, A., & Raju Venugopalan, B. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.4309 · Cited by 329
Plasma instability at the initial stage of ultrarelativistic heavy-ion collisions
Mrówczyński, S. (1993) · Physics Letters B · doi:10.1016/0370-2693(93)91330-p · Cited by 303
Alex Krasnitz, A., & Raju Venugopalan, B. (1999) · Nuclear Physics B · doi:10.1016/s0550-3213(99)00366-1 · Cited by 293
Resummation and gauge invariance of the gluon damping rate in hot QCD
Braaten, E., & Pisarski, R. D. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.1338 · Cited by 289
Production of gluons in the classical field model for heavy ion collisions
Lappi, T. (2003) · Physical Review C · doi:10.1103/physrevc.67.054903 · Cited by 286
QCD plasma instabilities and bottom-up thermalization
Arnold, P. B., Lenaghan, J., & Moore, G. D. (2003) · Journal of High Energy Physics · doi:10.1088/1126-6708/2003/08/002 · Cited by 265
Collective modes of an anisotropic quark-gluon plasma: II
Romatschke, P., & Strickland, M. T. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.116006 · Cited by 261
Self-citationCoherent Gluon Production in Very-High-Energy Heavy-Ion Collisions
Alex Krasnitz, A., Yasushi Nara, B., & Raju Venugopalan, B. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.192302 · Cited by 252
Initial Gluon Multiplicity in Heavy-Ion Collisions
Alex Krasnitz, A., & Raju Venugopalan, B. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.1717 · Cited by 237
Apparent Thermalization due to Plasma Instabilities in the Quark-Gluon Plasma
Arnold, P. B., Lenaghan, J., Moore, G. D., & Yaffe, L. G. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.072302 · Cited by 231
Hard-Loop Dynamics of Non-Abelian Plasma Instabilities
Rebhan, A. K., Romatschke, P., & Strickland, M. T. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.102303 · Cited by 229
Self-citationAlex Krasnitz, A., Nara, Y., & Venugopalan, R. (2003) · Nuclear Physics A · doi:10.1016/s0375-9474(03)00636-5 · Cited by 159
Self-citationFrom color glass condensate to quark–gluon plasma through the event horizon
Kharzeev, D. E., & Tuchin, K. (2005) · Nuclear Physics A · doi:10.1016/j.nuclphysa.2005.03.001 · Cited by 158
Toward equilibration in the early stages after a high energy heavy ion collision
Mueller, A. H. (2000) · Nuclear Physics B · doi:10.1016/s0550-3213(99)00502-7 · Cited by 156
Dynamics of quark-gluon-plasma instabilities in discretized hard-loop approximation
Rebhan, A. K., Romatschke, P., & Strickland, M. T. (2005) · Journal of High Energy Physics · doi:10.1088/1126-6708/2005/09/041 · Cited by 154
Self-citationClassical gluodynamics of high energy nuclear collisions: an erratum and an update
Alex Krasnitz, A., Yasushi Nara, B., & Raju Venugopalan, B. (2003) · Nuclear Physics A · doi:10.1016/j.nuclphysa.2003.08.004 · Cited by 153
Fate of non-Abelian plasma instabilities in 3+1 dimensions
Arnold, P. B., Moore, G. D., & Yaffe, L. G. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.72.054003 · Cited by 153
QCD plasma instabilities: The non-Abelian cascade
Arnold, P. B., & Moore, G. D. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.73.025006 · Cited by 141
Stream instabilities of the quark-gluon plasma
Mrówczyński, S. (1988) · Physics Letters B · doi:10.1016/0370-2693(88)90124-4 · Cited by 137
Chromodynamic Weibel instabilities in relativistic nuclear collisions
Randrup, J., & Mrówczyński, S. (2003) · Physical Review C · doi:10.1103/physrevc.68.034909 · Cited by 122
Color filamentation in ultrarelativistic heavy-ion collisions
Mrówczyński, S. (1997) · Physics Letters B · doi:10.1016/s0370-2693(96)01621-8 · Cited by 110
Turbulent spectrum created by non-Abelian plasma instabilities
Arnold, P. B., & Moore, G. D. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.73.025013 · Cited by 110
The Boltzmann equation for gluons at early times after a heavy ion collision
Mueller, A. H. (2000) · Physics Letters B · doi:10.1016/s0370-2693(00)00084-8 · Cited by 109
QCD plasma instabilities and isotropization
Dumitru, A., & Yasushi Nara, B. (2005) · Physics Letters B · doi:10.1016/j.physletb.2005.06.041 · Cited by 102
Thermal and chemical equilibration in relativistic heavy ion collisions
Wong, S. M. H. (1996) · Physical Review C · doi:10.1103/physrevc.54.2588 · Cited by 91
Bjoraker, J., & Raju Venugopalan, B. (2001) · Physical Review C · doi:10.1103/physrevc.63.024609 · Cited by 64
A possible modified “bottom-up” thermalization in heavy ion collisions
Mueller, A. H., Shoshi, A. I., & Wong, S. M. H. (2005) · Physics Letters B · doi:10.1016/j.physletb.2005.10.047 · Cited by 46
Can thermalization in heavy ion collisions be described by QCD diagrams?
Kovchegov, Y. V. (2005) · Nuclear Physics A · doi:10.1016/j.nuclphysa.2005.08.009 · Cited by 46
The impact of QCD plasma instabilities on bottom-up thermalization
Bödeker, D. (2005) · Journal of High Energy Physics · doi:10.1088/1126-6708/2005/10/092 · Cited by 44
The impact of QCD plasma instabilities on bottom-up thermalization
Bödeker, D. (2005) · CERN Document Server (European Organization for Nuclear Research) · Cited by 41
Rapidity distribution of gluons in the classical field model for heavy ion collisions
Lappi, T. (2004) · Physical Review C · doi:10.1103/physrevc.70.054905 · Cited by 20
Thoughts on non-perturbative thermalization and jet quenching in heavy ion collisions
Kovchegov, Y. V. (2005) · Nuclear Physics A · doi:10.1016/j.nuclphysa.2005.09.010 · Cited by 15
Research works printed but not linked: 1
- P. Houvinen, 2004, Quark-Gluon Plasma 3
Cited by
Sorted by citations
Fukushima, K., Kharzeev, D. E., & Warringa, H. J. (2008) · Physical Review D · doi:10.1103/physrevd.78.074033 · Cited by 2,006
Gelis, F., Edmond Iancu, A., Jamal Jalilian-marian, B., & Venugopalan, R. (2010) · Annual Review of Nuclear and Particle Science · doi:10.1146/annurev.nucl.010909.083629 · Cited by 1,321
Self-citationNEW DEVELOPMENTS IN RELATIVISTIC VISCOUS HYDRODYNAMICS
Romatschke, P. (2010) · International Journal of Modern Physics E · doi:10.1142/s0218301310014613 · Cited by 549
Self-citationLappi, T., & McLerran, L. (2006) · Nuclear Physics A · doi:10.1016/j.nuclphysa.2006.04.001 · Cited by 481
Schenke, B., Tribedy, P., & Raju Venugopalan, B. (2012) · Physical Review C · doi:10.1103/physrevc.86.034908 · Cited by 344
Metadata
- 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
- 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
- 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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
