Abstract
By using the boundary derivative expansion formalism of fluid/gravity correspondence, we study the chiral vortical effect from the compactified D4-branes with smeared D0-brane charge. This background corresponds to a strongly coupled, nonconformal relativistic fluid with a conserved vector current. The presence of the chiral vortical effect is induced by the addition of a Chern-Simons term in the bulk action. Except that the non-dissipative anomalous viscous coefficient and the sound speed rely only on the chemical potential, most of the other thermal and hydrodynamical quantities of the first order depend both on the temperature and the chemical potential. According to our result, the way that the chiral vortical effect coefficient depends on the chemical potential seems irrelevant with whether the relativistic fluid is conformal or not. Stability analysis shows that this anomalous relativistic fluid is stable and the doping of the smeared D0-brane charge will slow down the sound speed.
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References
X.-G. Huang, Electromagnetic fields and anomalous transports in heavy-ion collisions — a pedagogical review, Rept. Prog. Phys. 79 (2016) 076302 [arXiv:1509.04073] [INSPIRE].
D.E. Kharzeev, J. Liao, S.A. Voloshin and G. Wang, Chiral magnetic and vortical effects in high-energy nuclear collisions — a status report, Prog. Part. Nucl. Phys. 88 (2016) 1 [arXiv:1511.04050] [INSPIRE].
X.-G. Huang and J. Liao, Axial current generation from electric field: chiral electric separation effect, Phys. Rev. Lett. 110 (2013) 232302 [arXiv:1303.7192] [INSPIRE].
Y. Jiang, X.-G. Huang and J. Liao, Chiral electric separation effect in the quark-gluon plasma, Phys. Rev. D 91 (2015) 045001 [arXiv:1409.6395] [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.E. Kharzeev and H.J. Warringa, Chiral magnetic conductivity, Phys. Rev. D 80 (2009) 034028 [arXiv:0907.5007] [INSPIRE].
D.T. Son and A.R. Zhitnitsky, Quantum anomalies in dense matter, Phys. Rev. D 70 (2004) 074018 [hep-ph/0405216] [INSPIRE].
M.A. Metlitski and A.R. Zhitnitsky, Anomalous axion interactions and topological currents in dense matter, Phys. Rev. D 72 (2005) 045011 [hep-ph/0505072] [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 and D.T. Son, Testing the chiral magnetic and chiral vortical effects in heavy ion collisions, Phys. Rev. Lett. 106 (2011) 062301 [arXiv:1010.0038] [INSPIRE].
S. Golkar and D.T. Son, (Non)-renormalization of the chiral vortical effect coefficient, JHEP 02 (2015) 169 [arXiv:1207.5806] [INSPIRE].
D.-F. Hou, H. Liu and H.-C. Ren, A possible higher order correction to the vortical conductivity in a gauge field plasma, Phys. Rev. D 86 (2012) 121703 [arXiv:1210.0969] [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].
M. Torabian and H.-U. Yee, Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries, JHEP 08 (2009) 020 [arXiv:0903.4894] [INSPIRE].
S. Bhattacharyya, V.E. Hubeny, S. Minwalla and M. Rangamani, Nonlinear fluid dynamics from gravity, JHEP 02 (2008) 045 [arXiv:0712.2456] [INSPIRE].
C. Wu, Y. Chen and M. Huang, Fluid/gravity correspondence: a nonconformal realization in compactified D4 branes, Phys. Rev. D 93 (2016) 066005 [arXiv:1508.04038] [INSPIRE].
C. Wu, Y. Chen and M. Huang, Fluid/gravity correspondence: second order transport coefficients in compactified D4-branes, JHEP 01 (2017) 118 [arXiv:1604.07765] [INSPIRE].
K. Behrndt, M. Cvetič and W.A. Sabra, Nonextreme black holes of five-dimensional N = 2 AdS supergravity, Nucl. Phys. B 553 (1999) 317 [hep-th/9810227] [INSPIRE].
D.T. Son and P. Surowka, Hydrodynamics with triangle anomalies, Phys. Rev. Lett. 103 (2009) 191601 [arXiv:0906.5044] [INSPIRE].
G.M. Newman, Anomalous hydrodynamics, JHEP 01 (2006) 158 [hep-ph/0511236] [INSPIRE].
Y. Neiman and Y. Oz, Relativistic hydrodynamics with general anomalous charges, JHEP 03 (2011) 023 [arXiv:1011.5107] [INSPIRE].
J. Bhattacharya, S. Bhattacharyya, S. Minwalla and A. Yarom, A theory of first order dissipative superfluid dynamics, JHEP 05 (2014) 147 [arXiv:1105.3733] [INSPIRE].
K. Jensen, M. Kaminski, P. Kovtun, R. Meyer, A. Ritz and A. Yarom, Parity-violating hydrodynamics in 2 + 1 dimensions, JHEP 05 (2012) 102 [arXiv:1112.4498] [INSPIRE].
K. Jensen, R. Loganayagam and A. Yarom, Thermodynamics, gravitational anomalies and cones, JHEP 02 (2013) 088 [arXiv:1207.5824] [INSPIRE].
I. Amado, K. Landsteiner and F. Pena-Benitez, Anomalous transport coefficients from Kubo formulas in holography, JHEP 05 (2011) 081 [arXiv:1102.4577] [INSPIRE].
K. Landsteiner, E. Megias, L. Melgar and F. Pena-Benitez, Holographic gravitational anomaly and chiral vortical effect, JHEP 09 (2011) 121 [arXiv:1107.0368] [INSPIRE].
K. Landsteiner, E. Megias and F. Pena-Benitez, Frequency dependence of the chiral vortical effect, Phys. Rev. D 90 (2014) 065026 [arXiv:1312.1204] [INSPIRE].
E. Megias and F. Pena-Benitez, Holographic gravitational anomaly in first and second order hydrodynamics, JHEP 05 (2013) 115 [arXiv:1304.5529] [INSPIRE].
T. Kalaydzhyan and I. Kirsch, Fluid/gravity model for the chiral magnetic effect, Phys. Rev. Lett. 106 (2011) 211601 [arXiv:1102.4334] [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].
T. Kalaydzhyan, Temperature dependence of the chiral vortical effects, Phys. Rev. D 89 (2014) 105012 [arXiv:1403.1256] [INSPIRE].
P. Kleinert and J. Probst, Second-order hydrodynamics and universality in non-conformal holographic fluids, JHEP 12 (2016) 091 [arXiv:1610.01081] [INSPIRE].
I. Kanitscheider and K. Skenderis, Universal hydrodynamics of non-conformal branes, JHEP 04 (2009) 062 [arXiv:0901.1487] [INSPIRE].
C. Wu, Z. Xiao and D. Zhou, Sakai-Sugimoto model in D0-D4 background, Phys. Rev. D 88 (2013) 026016 [arXiv:1304.2111] [INSPIRE].
S. Seki and S.-J. Sin, A new model of holographic QCD and chiral condensate in dense matter, JHEP 10 (2013) 223 [arXiv:1304.7097] [INSPIRE].
T. Sakai and S. Sugimoto, Low energy hadron physics in holographic QCD, Prog. Theor. Phys. 113 (2005) 843 [hep-th/0412141] [INSPIRE].
T. Sakai and S. Sugimoto, More on a holographic dual of QCD, Prog. Theor. Phys. 114 (2005) 1083 [hep-th/0507073] [INSPIRE].
W. Cai, C. Wu and Z. Xiao, Baryons in the Sakai-Sugimoto model in the D0-D4 background, Phys. Rev. D 90 (2014) 106001 [arXiv:1410.5549] [INSPIRE].
M. Hanada, Y. Matsuo and T. Morita, Instanton dynamics in finite temperature QCD via holography, Nucl. Phys. B 899 (2015) 631 [arXiv:1505.04498] [INSPIRE].
F. Bigazzi, A.L. Cotrone and R. Sisca, Notes on theta dependence in holographic Yang-Mills, JHEP 08 (2015) 090 [arXiv:1506.03826] [INSPIRE].
S.-W. Li and T. Jia, Matrix model and holographic baryons in the D0-D4 background, Phys. Rev. D 92 (2015) 046007 [arXiv:1506.00068] [INSPIRE].
S.-W. Li and T. Jia, Three-body force for baryons from the D0-D4/D8 brane matrix model, Phys. Rev. D 93 (2016) 065051 [arXiv:1602.02259] [INSPIRE].
P. Benincasa and A. Buchel, Hydrodynamics of Sakai-Sugimoto model in the quenched approximation, Phys. Lett. B 640 (2006) 108 [hep-th/0605076] [INSPIRE].
Y. Kim, Y. Matsuo, W. Sim, S. Takeuchi and T. Tsukioka, Quark number susceptibility with finite chemical potential in holographic QCD, JHEP 05 (2010) 038 [arXiv:1001.5343] [INSPIRE].
A. Di Dato, J. Gath and A.V. Pedersen, Probing the hydrodynamic limit of (super)gravity, JHEP 04 (2015) 171 [arXiv:1501.05441] [INSPIRE].
J. Naji, Properties of non-conformal quark gluon plasma of holographic QCD models from compactified D4 branes, Int. J. Theor. Phys. 55 (2016) 3467 [INSPIRE].
W. Cai and S.-W. Li, Sound waves in the compactified D0-D4 brane system, Phys. Rev. D 94 (2016) 066012 [arXiv:1608.04075] [INSPIRE].
B. Gwak, M. Kim, B.-H. Lee, Y. Seo and S.-J. Sin, Holographic D instanton liquid and chiral transition, Phys. Rev. D 86 (2012) 026010 [arXiv:1203.4883] [INSPIRE].
J.X. Lu and S. Roy, Delocalized, non-SUSY p-branes, tachyon condensation and tachyon matter, JHEP 11 (2004) 008 [hep-th/0409019] [INSPIRE].
J.X. Lu and S. Roy, Non-SUSY p-branes delocalized in two directions, tachyon condensation and T-duality, JHEP 06 (2005) 026 [hep-th/0503007] [INSPIRE].
P. Bostock and S.F. Ross, Smeared branes and the Gubser-Mitra conjecture, Phys. Rev. D 70 (2004) 064014 [hep-th/0405026] [INSPIRE].
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ArXiv ePrint: 1608.04922
Stay at and become a member of the Wigner Research Center for Physics, Hungarian Academy of Sciences since November 5th 2016. (Chao Wu)
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Wu, C., Chen, Y. & Huang, M. Chiral vortical effect from the compactified D4-branes with smeared D0-brane charge. J. High Energ. Phys. 2017, 82 (2017). https://doi.org/10.1007/JHEP03(2017)082
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DOI: https://doi.org/10.1007/JHEP03(2017)082