Abstract
We study the charmonium dissociation in a strongly coupled chiral plasma in the presence of magnetic field and axial charge imbalance. This type of plasma carries “anomalous flow” induced by the chiral anomaly and exhibits novel transport phenomena such as chiral magnetic effect. We found that the “anomalous flow” would modify the charmonium color screening length by using the gauge/gravity correspondence. We derive an analytical expression quantifying the “anomalous flow” experienced by a charmonium for a large class of chiral plasma with a gravity dual. We elaborate on the similarity and qualitative difference between anomalous effects on the charmonium color screening length which are model-dependent and those on the heavy quark drag force which are fixed by the second law of thermodynamics. We speculate on the possible charmonium dissociation induced by the chiral anomaly in heavy ion collisions.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
T. Matsui and H. Satz, J/ψ Suppression by quark-gluon Plasma Formation, Phys. Lett. B 178 (1986) 416 [INSPIRE].
R. Rapp, D. Blaschke and P. Crochet, Charmonium and bottomonium production in heavy-ion collisions, Prog. Part. Nucl. Phys. 65 (2010) 209 [arXiv:0807.2470] [INSPIRE].
J. Casalderrey-Solana, H. Liu, D. Mateos, K. Rajagopal and U.A. Wiedemann, Gauge/String Duality, Hot QCD and Heavy Ion Collisions, CERN-PH-TH-2010-316 (2011) [MIT-CTP-4198] [ICCUB-10-202] [arXiv:1101.0618] [INSPIRE].
V.V. Braguta, et al., Two-Color QCD with Non-zero Chiral Chemical Potential, JHEP 06 (2015) 094 [arXiv:1503.06670] [INSPIRE].
K. Tuchin, Particle production in strong electromagnetic fields in relativistic heavy-ion collisions, Adv. High Energy Phys. 2013 (2013) 490495 [arXiv:1301.0099] [INSPIRE].
U. Gürsoy, D. Kharzeev and K. Rajagopal, Magnetohydrodynamics, charged currents and directed flow in heavy ion collisions, Phys. Rev. C 89 (2014) 054905 [arXiv:1401.3805] [INSPIRE].
D.E. Kharzeev, K. Landsteiner, A. Schmitt and H.-U. Yee, ‘Strongly interacting matter in magnetic fields’: an overview, Lect. Notes Phys. 871 (2013) 1 [arXiv:1211.6245] [INSPIRE].
V.I. Zakharov, Chiral Magnetic Effect in Hydrodynamic Approximation, Lect. Notes Phys. 871 (2013) 295 [arXiv:1210.2186] [INSPIRE].
D.E. Kharzeev, The Chiral Magnetic Effect and Anomaly-Induced Transport, Prog. Part. Nucl. Phys. 75 (2014) 133 [arXiv:1312.3348] [INSPIRE].
J. Liao, Anomalous transport effects and possible environmental symmetry ‘violation’ in heavy-ion collisions, Pramana 84 (2015) 901 [arXiv:1401.2500] [INSPIRE].
A. Vilenkin, Equilibrium parity-violating current in a magnetic field, Phys. Rev. D 22 (1980) 3080 [INSPIRE].
A.Yu. Alekseev, V.V. Cheianov and J. Fröhlich, Universality of transport properties in equilibrium, Goldstone theorem and chiral anomaly, Phys. Rev. Lett. 81 (1998) 3503 [cond-mat/9803346] [INSPIRE].
D. Kharzeev, Parity violation in hot QCD: Why it can happen and how to look for it, Phys. Lett. B 633 (2006) 260 [hep-ph/0406125] [INSPIRE].
D. Kharzeev and A. Zhitnitsky, Charge separation induced by P-odd bubbles in QCD matter, Nucl. Phys. A 797 (2007) 67 [arXiv:0706.1026] [INSPIRE].
D.E. Kharzeev, L.D. McLerran and H.J. Warringa, The Effects of topological charge change in heavy ion collisions: ‘Event by event P and CP-violation’, Nucl. Phys. A 803 (2008) 227 [arXiv:0711.0950] [INSPIRE].
K. Fukushima, D.E. Kharzeev and H.J. Warringa, The Chiral Magnetic Effect, Phys. Rev. D 78 (2008) 074033 [arXiv:0808.3382] [INSPIRE].
D.T. Son and P. Surowka, Hydrodynamics with Triangle Anomalies, Phys. Rev. Lett. 103 (2009) 191601 [arXiv:0906.5044] [INSPIRE].
A.V. Sadofyev, V.I. Shevchenko and V.I. Zakharov, Notes on chiral hydrodynamics within effective theory approach, Phys. Rev. D 83 (2011) 105025 [arXiv:1012.1958] [INSPIRE].
Y. Neiman and Y. Oz, Relativistic Hydrodynamics with General Anomalous Charges, JHEP 03 (2011) 023 [arXiv:1011.5107] [INSPIRE].
A.V. Sadofyev and M.V. Isachenkov, The Chiral magnetic effect in hydrodynamical approach, Phys. Lett. B 697 (2011) 404 [arXiv:1010.1550] [INSPIRE].
H. Liu, K. Rajagopal and U.A. Wiedemann, An AdS/CFT Calculation of Screening in a Hot Wind, Phys. Rev. Lett. 98 (2007) 182301 [hep-ph/0607062] [INSPIRE].
E. Caceres, M. Natsuume and T. Okamura, Screening length in plasma winds, JHEP 10 (2006) 011 [hep-th/0607233] [INSPIRE].
P.M. Hohler and Y. Yin, Charmonium moving through a strongly coupled QCD plasma: a holographic perspective, Phys. Rev. D 88 (2013) 086001 [arXiv:1305.1923] [INSPIRE].
K. Marasinghe and K. Tuchin, Quarkonium dissociation in quark-gluon plasma via ionization in magnetic field, Phys. Rev. C 84 (2011) 044908 [arXiv:1103.1329] [INSPIRE].
J. Alford and M. Strickland, Charmonia and Bottomonia in a Magnetic Field, Phys. Rev. D 88 (2013) 105017 [arXiv:1309.3003] [INSPIRE].
D. Dudal and T.G. Mertens, Melting of charmonium in a magnetic field from an effective AdS/QCD model, Phys. Rev. D 91 (2015) 086002 [arXiv:1410.3297] [INSPIRE].
S. Cho, K. Hattori, S.H. Lee, K. Morita and S. Ozaki, Charmonium Spectroscopy in Strong Magnetic Fields by QCD Sum Rules: S-Wave Ground States, Phys. Rev. D 91 (2015) 045025 [arXiv:1411.7675] [INSPIRE].
X. Guo, S. Shi, N. Xu, Z. Xu and P. Zhuang, Magnetic Field Effect on Charmonium Production in High Energy Nuclear Collisions, Phys. Lett. B 751 (2015) 215 [arXiv:1502.04407] [INSPIRE].
K. Rajagopal and A.V. Sadofyev, Chiral drag force, JHEP 10 (2015) 018 [arXiv:1505.07379] [INSPIRE].
M.A. Stephanov and H.-U. Yee, The no-drag frame for anomalous chiral fluid, arXiv:1508.02396 [INSPIRE].
J. Erdmenger, M. Haack, M. Kaminski and A. Yarom, Fluid dynamics of R-charged black holes, JHEP 01 (2009) 055 [arXiv:0809.2488] [INSPIRE].
N. Banerjee, J. Bhattacharya, S. Bhattacharyya, S. Dutta, R. Loganayagam and P. Surowka, Hydrodynamics from charged black branes, JHEP 01 (2011) 094 [arXiv:0809.2596] [INSPIRE].
H. Liu, K. Rajagopal and U.A. Wiedemann, Wilson loops in heavy ion collisions and their calculation in AdS/CFT, JHEP 03 (2007) 066 [hep-ph/0612168] [INSPIRE].
E. Megias and F. Pena-Benitez, Holographic Gravitational Anomaly in First and Second Order Hydrodynamics, JHEP 05 (2013) 115 [arXiv:1304.5529] [INSPIRE].
A.V. Sadofyev and Y. Yin, Chiral Magnetic “Superfluidity”, arXiv:1511.08794 [INSPIRE].
A. Bzdak and V. Skokov, Event-by-event fluctuations of magnetic and electric fields in heavy ion collisions, Phys. Lett. B 710 (2012) 171 [arXiv:1111.1949] [INSPIRE].
W.-T. Deng and X.-G. Huang, Event-by-event generation of electromagnetic fields in heavy-ion collisions, Phys. Rev. C 85 (2012) 044907 [arXiv:1201.5108] [INSPIRE].
V.P. Kirilin, A.V. Sadofyev and V.I. Zakharov, Chiral Vortical Effect in Superfluid, Phys. Rev. D 86 (2012) 025021 [arXiv:1203.6312] [INSPIRE].
K. Landsteiner, E. Megias and F. Pena-Benitez, Gravitational Anomaly and Transport, Phys. Rev. Lett. 107 (2011) 021601 [arXiv:1103.5006] [INSPIRE].
Z.V. Khaidukov, V.P. Kirilin, A.V. Sadofyev and V.I. Zakharov, On Magnetostatics of Chiral Media, arXiv:1307.0138 [INSPIRE].
P.V. Buividovich, Anomalous transport with overlap fermions, Nucl. Phys. A 925 (2014) 218 [arXiv:1312.1843] [INSPIRE].
I. Iatrakis, S. Lin and Y. Yin, Axial current generation by P-odd domains in QCD matter, Phys. Rev. Lett. 114 (2015) 252301 [arXiv:1411.2863] [INSPIRE].
I. Iatrakis, S. Lin and Y. Yin, The anomalous transport of axial charge: topological vs non-topological fluctuations, JHEP 09 (2015) 030 [arXiv:1506.01384] [INSPIRE].
Y. Hirono, D. Kharzeev and Y. Yin, Self-similar inverse cascade of magnetic helicity driven by the chiral anomaly, Phys. Rev. D 92 (2015) 125031 [arXiv:1509.07790] [INSPIRE].
I. Gahramanov, T. Kalaydzhyan and I. Kirsch, Anisotropic hydrodynamics, holography and the chiral magnetic effect, Phys. Rev. D 85 (2012) 126013 [arXiv:1203.4259] [INSPIRE].
M. Chernicoff, D. Fernandez, D. Mateos and D. Trancanelli, Quarkonium dissociation by anisotropy, JHEP 01 (2013) 170 [arXiv:1208.2672] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1510.06760
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Sadofyev, A.V., Yin, Y. The charmonium dissociation in an “anomalous wind”. J. High Energ. Phys. 2016, 52 (2016). https://doi.org/10.1007/JHEP01(2016)052
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP01(2016)052