Abstract
We study anomalous conductivities in Chiral Superfluids in the framework of two different holographic models, by means of Kubo formulae. In addition, we point out the existence of an anomalous transport phenomenon that consists in the presence of a charge density when the superfluid velocity is aligned with a magnetic field. It has been pointed out recently that certain chiral conductivities in holographic superfluids exhibit universal behavior at zero temperature. We show that anomalous conductivities always stabilize at low temperatures in our setup. Even though the particular value they acquire is model-dependent, it seems to be robust and determined solely by the interplay between the broken symmetries and the anomalies.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
R.A. Bertlmann, Anomalies in quantum field theory, International series of monographs on physics 91, Clarendon, Oxford U.K. (1996) [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].
D.T. Son and P. Surowka, Hydrodynamics with triangle anomalies, Phys. Rev. Lett. 103 (2009) 191601 [arXiv:0906.5044] [INSPIRE].
F.M. Haehl, R. Loganayagam and M. Rangamani, Effective actions for anomalous hydrodynamics, JHEP 03 (2014) 034 [arXiv:1312.0610] [INSPIRE].
R. Banerjee, P. Chakraborty, S. Dey, B.R. Majhi and A.K. Mitra, Two dimensional hydrodynamics with gauge and gravitational anomalies, Phys. Rev. D 89 (2014) 104013 [arXiv:1307.1313] [INSPIRE].
A. Avdoshkin, V.P. Kirilin, A.V. Sadofyev and V.I. Zakharov, On consistency of hydrodynamic approximation for chiral media, arXiv:1402.3587 [INSPIRE].
D.E. Kharzeev and H.J. Warringa, Chiral magnetic conductivity, Phys. Rev. D 80 (2009) 034028 [arXiv:0907.5007] [INSPIRE].
K. Landsteiner, E. Megias and F. Pena-Benitez, Gravitational anomaly and transport, Phys. Rev. Lett. 107 (2011) 021601 [arXiv:1103.5006] [INSPIRE].
K. Landsteiner, E. Megias and F. Pena-Benitez, Anomalous transport from Kubo formulae, Lect. Notes Phys. 871 (2013) 433 [arXiv:1207.5808] [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].
K. Fukushima, D.E. Kharzeev and H.J. Warringa, The chiral magnetic effect, Phys. Rev. D 78 (2008) 074033 [arXiv:0808.3382] [INSPIRE].
R. Loganayagam, Anomaly induced transport in arbitrary dimensions, arXiv:1106.0277 [INSPIRE].
K. Jensen, Triangle anomalies, thermodynamics and hydrodynamics, Phys. Rev. D 85 (2012) 125017 [arXiv:1203.3599] [INSPIRE].
N. Banerjee, S. Dutta, S. Jain, R. Loganayagam and T. Sharma, Constraints on anomalous fluid in arbitrary dimensions, JHEP 03 (2013) 048 [arXiv:1206.6499] [INSPIRE].
R. Loganayagam and P. Surowka, Anomaly/transport in an ideal Weyl gas, JHEP 04 (2012) 097 [arXiv:1201.2812] [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 et al., Hydrodynamics from charged black branes, JHEP 01 (2011) 094 [arXiv:0809.2596] [INSPIRE].
G.M. Newman, Anomalous hydrodynamics, JHEP 01 (2006) 158 [hep-ph/0511236] [INSPIRE].
H.-U. Yee, Holographic chiral magnetic conductivity, JHEP 11 (2009) 085 [arXiv:0908.4189] [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. Jensen, R. Loganayagam and A. Yarom, Thermodynamics, gravitational anomalies and cones, JHEP 02 (2013) 088 [arXiv:1207.5824] [INSPIRE].
T. Kalaydzhyan and I. Kirsch, Fluid/gravity model for the chiral magnetic effect, Phys. Rev. Lett. 106 (2011) 211601 [arXiv:1102.4334] [INSPIRE].
F. Pena-Benitez, Anomaly induced transport coefficients, from weak to strong coupling, arXiv:1307.0540 [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.T. Son and A.R. Zhitnitsky, Quantum anomalies in dense matter, Phys. Rev. D 70 (2004) 074018 [hep-ph/0405216] [INSPIRE].
M. Lublinsky and I. Zahed, Anomalous chiral superfluidity, Phys. Lett. B 684 (2010) 119 [arXiv:0910.1373] [INSPIRE].
S. Lin, An anomalous hydrodynamics for chiral superfluid, Phys. Rev. D 85 (2012) 045015 [arXiv:1112.3215] [INSPIRE].
S. Lin, On the anomalous superfluid hydrodynamics, Nucl. Phys. A 873 (2012) 28 [arXiv:1104.5245] [INSPIRE].
Y. Neiman and Y. Oz, Anomalies in superfluids and a chiral electric effect, JHEP 09 (2011) 011 [arXiv:1106.3576] [INSPIRE].
S. Bhattacharyya, S. Jain, S. Minwalla and T. Sharma, Constraints on superfluid hydrodynamics from equilibrium partition functions, JHEP 01 (2013) 040 [arXiv:1206.6106] [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].
I. Amado, N. Lisker and A. Yarom, Universal chiral conductivities for low temperature holographic superfluids, JHEP 06 (2014) 084 [arXiv:1401.5795] [INSPIRE].
S. Chapman, C. Hoyos and Y. Oz, Superfluid Kubo formulas from partition function, JHEP 04 (2014) 186 [arXiv:1310.2247] [INSPIRE].
T. Kalaydzhyan, Chiral superfluidity of the quark-gluon plasma, Nucl. Phys. A 913 (2013) 243 [arXiv:1208.0012] [INSPIRE].
S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, Holographic superconductors, JHEP 12 (2008) 015 [arXiv:0810.1563] [INSPIRE].
K. Jensen, P. Kovtun and A. Ritz, Chiral conductivities and effective field theory, JHEP 10 (2013) 186 [arXiv:1307.3234] [INSPIRE].
G.M. Newman and D.T. Son, Response of strongly-interacting matter to magnetic field: some exact results, Phys. Rev. D 73 (2006) 045006 [hep-ph/0510049] [INSPIRE].
A. Gynther, K. Landsteiner, F. Pena-Benitez and A. Rebhan, Holographic anomalous conductivities and the chiral magnetic effect, JHEP 02 (2011) 110 [arXiv:1005.2587] [INSPIRE].
V.A. Rubakov, On chiral magnetic effect and holography, arXiv:1005.1888 [INSPIRE].
K. Landsteiner and L. Melgar, Holographic flow of anomalous transport coefficients, JHEP 10 (2012) 131 [arXiv:1206.4440] [INSPIRE].
C.P. Herzog, P.K. Kovtun and D.T. Son, Holographic model of superfluidity, Phys. Rev. D 79 (2009) 066002 [arXiv:0809.4870] [INSPIRE].
P. Basu, A. Mukherjee and H.-H. Shieh, Supercurrent: vector hair for an AdS black hole, Phys. Rev. D 79 (2009) 045010 [arXiv:0809.4494] [INSPIRE].
I. Amado et al., Holographic superfluids and the Landau criterion, JHEP 02 (2014) 063 [arXiv:1307.8100] [INSPIRE].
M. Kaminski, K. Landsteiner, J. Mas, J.P. Shock and J. Tarrio, Holographic operator mixing and quasinormal modes on the brane, JHEP 02 (2010) 021 [arXiv:0911.3610] [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: 1404.2434
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
Jimenez-Alba, A., Melgar, L. Anomalous transport in holographic chiral superfluids via Kubo formulae. J. High Energ. Phys. 2014, 120 (2014). https://doi.org/10.1007/JHEP10(2014)120
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2014)120