Thermodynamics, gravitational anomalies and cones

Journal of High Energy Physics

Volumn 2013, Issue 2, 2013, Pages

  Jensen, Kristan ^a   Loganayagam, R ^b   Yarom, Amos ^c  

^a UNIVERSITY OF VICTORIA   (Canada)

^b HARVARD UNIVERSITY   (United States)

^c TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Anomalies in Field and String Theories; Holography and condensed matter physics (AdS CMT); Holography and quark gluon plasmas

Indexed keywords

EID: 84876351379     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP02(2013)088     Document Type: Review

References (59)

1. D.T. Son and P. Surowka, Hydrodynamics with triangle anomalies, Phys. Rev. Lett. 103 (2009) 191601 [arXiv:0906.5044] [INSPIRE].
2. R. Baier, P. Romatschke, D.T. Son, A.O. Starinets and M.A. Stephanov, Relativistic viscous hydrodynamics, conformal invariance and holography, JHEP 04 (2008) 100 [arXiv:0712.2451] [INSPIRE].
3. S. Bhattacharyya, V.E. Hubeny, S. Minwalla and M. Rangamani, Nonlinear fluid dynamics from gravity, JHEP 02 (2008) 045 [arXiv:0712.2456] [INSPIRE].
4. S. Bhattacharyya, S. Lahiri, R. Loganayagam and S. Minwalla, Large rotating AdS black holes from fluid mechanics, JHEP 09 (2008) 054 [arXiv:0708.1770] [INSPIRE].
5. J. Erdmenger, M. Haack, M. Kaminski and A. Yarom, Fluid dynamics of R-charged black holes, JHEP 01 (2009) 055 [arXiv:0809.2488] [INSPIRE].
6. N. Banerjee et al., Hydrodynamics from charged black branes, JHEP 01 (2011) 094 [arXiv:0809.2596] [INSPIRE].
7. 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].
8. D.E. Kharzeev and H.J. Warringa, Chiral magnetic conductivity, Phys. Rev. D 80 (2009) 034028 [arXiv:0907.5007] [INSPIRE].
9. M. Lublinsky and I. Zahed, Anomalous chiral superfluidity, Phys. Lett. B 684 (2010) 119 [arXiv:0910.1373] [INSPIRE].
10. Y. Neiman and Y. Oz, Relativistic hydrodynamics with general anomalous charges, JHEP 03 (2011) 023 [arXiv:1011.5107] [INSPIRE].
11. J. Bhattacharya, S. Bhattacharyya, S. Minwalla and A. Yarom, A theory of first order dissipative superfluid dynamics, arXiv:1105.3733 [INSPIRE].
12. D.E. Kharzeev and H.-U. Yee, Anomalies and time reversal invariance in relativistic hydrodynamics: the second order and higher dimensional formulations, Phys. Rev. D 84 (2011) 045025 [arXiv:1105.6360] [INSPIRE].
13. R. Loganayagam, Anomaly induced transport in arbitrary dimensions, arXiv:1106.0277 [INSPIRE].
14. Y. Neiman and Y. Oz, Anomalies in superfluids and a chiral electric effect, JHEP 09 (2011) 011 [arXiv:1106.3576] [INSPIRE].
15. S. Dubovsky, L. Hui and A. Nicolis, Effective field theory for hydrodynamics: Wess-Zumino term and anomalies in two spacetime dimensions, arXiv:1107.0732 [INSPIRE].
16. T. Kimura and T. Nishioka, The chiral heat effect, Prog. Theor. Phys. 127 (2012) 1009 [arXiv:1109.6331] [INSPIRE].
17. S. Lin, An anomalous hydrodynamics for chiral superfluid, Phys. Rev. D 85 (2012) 045015 [arXiv:1112.3215] [INSPIRE].
18. V. Nair, R. Ray and S. Roy, Fluids, anomalies and the chiral magnetic effect: a group-theoretic formulation, Phys. Rev. D 86 (2012) 025012 [arXiv:1112.4022] [INSPIRE].
19. N. Banerjee et al., Constraints on fluid dynamics from equilibrium partition functions, JHEP 09 (2012) 046 [arXiv:1203.3544] [INSPIRE].
20. K. Jensen, Triangle anomalies, thermodynamics and hydrodynamics, Phys. Rev. D 85 (2012) 125017 [arXiv:1203.3599] [INSPIRE].
21. S. Jain and T. Sharma, Anomalous charged fluids in 1 + 1d from equilibrium partition function, JHEP 01 (2013) 039 [arXiv:1203.5308] [INSPIRE].
22. 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].
23. N. Banerjee, S. Dutta, S. Jain, R. Loganayagam and T. Sharma, Constraints on anomalous fluid in arbitrary dimensions, arXiv:1206.6499 [INSPIRE].
24. M. Valle, Hydrodynamics in 1 + 1 dimensions with gravitational anomalies, JHEP 08 (2012) 113 [arXiv:1206.1538] [INSPIRE].
25. G. Volovik and A. Vilenkin, Macroscopic parity violating effects and He-3-A, Phys. Rev. D 62 (2000) 025014 [hep-ph/9905460] [INSPIRE].
26. A. Cappelli, M. Huerta and G.R. Zemba, Thermal transport in chiral conformal theories and hierarchical quantum Hall states, Nucl. Phys. B 636 (2002) 568 [cond-mat/0111437] [INSPIRE].
27. S. Ryu, J.E. Moore and A.W. Ludwig, Electromagnetic and gravitational responses and anomalies in topological insulators and superconductors, Phys. Rev. B 85 (2012) 045104 [arXiv:1010.0936] [INSPIRE].
28. M. Stone, Gravitational anomalies and thermal Hall effect in topological insulators, Phys. Rev. B 85 (2012) 184503 [arXiv:1201.4095] [INSPIRE].
29. K. Landsteiner, E. Megias and F. Pena-Benitez, Gravitational anomaly and transport, Phys. Rev. Lett. 107 (2011) 021601 [arXiv:1103.5006] [INSPIRE].
30. R. Loganayagam and P. Surowka, Anomaly/transport in an ideal Weyl gas, JHEP 04 (2012) 097 [arXiv:1201.2812] [INSPIRE].
31. P. Kraus and F. Larsen, Holographic gravitational anomalies, JHEP 01 (2006) 022 [hep-th/0508218] [INSPIRE].
32. P. Kraus, Lectures on black holes and the AdS3 /CFT2 correspondence, Lect. Notes Phys. 755 (2008) 193 [hep-th/0609074] [INSPIRE].
33. A. Vilenkin, Parity violating currents in thermal radiation, Phys. Lett. B 80 (1978) 150 [INSPIRE].
34. A. Vilenkin, Macroscopic parity violating effects: neutrino fluxes from rotating black holes and in rotating thermal radiation, Phys. Rev. D 20 (1979) 1807 [INSPIRE].
35. A. Vilenkin, Equilibrium parity violating current in a magnetic field, Phys. Rev. D 22 (1980) 3080 [INSPIRE].
36. A. Vilenkin, Quantum field theory at finite temperature in a rotating system, Phys. Rev. D 21 (1980) 2260 [INSPIRE].
37. A. Vilenkin, Cancellation of equilibrium parity violating currents, Phys. Rev. D 22 (1980) 3067 [INSPIRE].
38. A. Vilenkin, Parity nonconservation and neutrino transport in magnetic fields, Astrophys. J. 451 (1995) 700 [INSPIRE].
39. 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].
40. J.-H. Gao, Z.-T. Liang, S. Pu, Q. Wang and X.-N. Wang, Chiral anomaly and local polarization effect from quantum kinetic approach, Phys. Rev. Lett. 109 (2012) 232301 [arXiv:1203.0725] [INSPIRE].
41. K. Jensen et al., Towards hydrodynamics without an entropy current, Phys. Rev. Lett. 109 (2012) 101601 [arXiv:1203.3556] [INSPIRE].
42. H. Bloete, J.L. Cardy and M. Nightingale, Conformal invariance, the central charge and universal finite size amplitudes at criticality, Phys. Rev. Lett. 56 (1986) 742 [INSPIRE].
43. I. Affleck, Universal term in the free energy at a critical point and the conformal anomaly, Phys. Rev. Lett. 56 (1986) 746 [INSPIRE].
44. S. Golkar and D.T. Son, Non-renormalization of the chiral vortical effect coefficient, to appear.
45. R.A. Bertlmann, Anomalies in quantum field theory, International Series of Monographs on Physics, 91, Oxford University Press, Oxford U.S.A. (1996) [INSPIRE].
46. J.A. Harvey, TASI 2003 lectures on anomalies, hep-th/0509097 [INSPIRE].
47. A. Bilal, Lectures on anomalies, arXiv:0802.0634 [INSPIRE].
48. J. Wess and B. Zumino, Consequences of anomalous Ward identities, Phys. Lett. B 37 (1971) 95 [INSPIRE].
49. W.A. Bardeen and B. Zumino, Consistent and covariant anomalies in gauge and gravitational theories, Nucl. Phys. B 244 (1984) 421 [INSPIRE].
50. C.G. Callan Jr. and J.A. Harvey, Anomalies and fermion zero modes on strings and domain walls, Nucl. Phys. B 250 (1985) 427 [INSPIRE].
51. S.G. Naculich, Axionic strings: covariant anomalies and bosonization of chiral zero modes, Nucl. Phys. B 296 (1988) 837 [INSPIRE].
52. J.A. Harvey and O. Ruchayskiy, The local structure of anomaly inflow, JHEP 06 (2001) 044 [hep-th/0007037] [INSPIRE].
53. K. Jensen, Chiral anomalies and AdS/CMT in two dimensions, JHEP 01 (2011) 109 [arXiv:1012.4831] [INSPIRE].
54. R. Loganayagam, Entropy current in conformal hydrodynamics, JHEP 05 (2008) 087 [arXiv:0801.3701] [INSPIRE].
55. D.V. Fursaev and S.N. Solodukhin, On the description of the Riemannian geometry in the presence of conical defects, Phys. Rev. D 52 (1995) 2133 [hep-th/9501127] [INSPIRE].
56. D.V. Fursaev and G. Miele, Cones, spins and heat kernels, Nucl. Phys. B 484 (1997) 697 [hep-th/9605153] [INSPIRE].
57. R. Loganayagam, work in progress.
58. L. Álvarez-Gaumé, S. Della Pietra and G.W. Moore, Anomalies and odd dimensions, Annals Phys. 163 (1985) 288 [INSPIRE].
59. S.N. Solodukhin, Entanglement entropy of black holes, Living Rev. Rel. 14 (2011) 8 [arXiv:1104.3712] [INSPIRE].