Abstract
We consider a bottom-up holographic model of QCD at finite temperature T and magnetic field B, and study dependence of thermodynamics and CP-odd transport on these variables. As the magnetic field couples to the flavor sector only, one should take the Veneziano limit where the number of flavors and colors are large while their ratio is kept fixed. We investigate the corresponding holographic background in the approximation where the ratio of flavors to colors is finite but small. We demonstrate that B-dependence of the entropy of QCD is in qualitative agreement with the recent lattice studies. Finally we study the CP-odd transport properties of this system. In particular, we determine the Chern-Simons decay rate at finite B and T, that is an important ingredient in the Chiral Magnetic Effect.
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D. Kharzeev, K. Landsteiner, A. Schmitt and H.-U. Yee, Strongly interacting matter in magnetic fields, Lecture Notes in Physics volume 871, Springer, Germany (2013).
G.S. Bali et al., The QCD phase diagram for external magnetic fields, JHEP 02 (2012) 044 [arXiv:1111.4956] [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].
V.P. Gusynin, V.A. Miransky and I.A. Shovkovy, Dimensional reduction and catalysis of dynamical symmetry breaking by a magnetic field, Nucl. Phys. B 462 (1996) 249 [hep-ph/9509320] [INSPIRE].
V. Skokov, A. Yu. Illarionov and V. Toneev, Estimate of the magnetic field strength in heavy-ion collisions, Int. J. Mod. Phys. A 24 (2009) 5925 [arXiv:0907.1396] [INSPIRE].
K. Tuchin, Synchrotron radiation by fast fermions in heavy-ion collisions, Phys. Rev. C 82 (2010) 034904 [Erratum ibid. C 83 (2011) 039903] [arXiv:1006.3051] [INSPIRE].
V. Voronyuk, V.D. Toneev, W. Cassing, E.L. Bratkovskaya, V.P. Konchakovski and S.A. Voloshin, (Electro-)magnetic field evolution in relativistic heavy-ion collisions, Phys. Rev. C 83 (2011) 054911 [arXiv:1103.4239] [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].
K. Tuchin, Particle production in strong electromagnetic fields in relativistic heavy-ion collisions, Adv. High Energy Phys. 2013 (2013) 490495 [arXiv:1301.0099] [INSPIRE].
L. McLerran and V. Skokov, Comments about the electromagnetic field in heavy-ion collisions, Nucl. Phys. A 929 (2014) 184 [arXiv:1305.0774] [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].
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [INSPIRE].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
U. Gürsoy and E. Kiritsis, Exploring improved holographic theories for QCD: part I, JHEP 02 (2008) 032 [arXiv:0707.1324] [INSPIRE].
U. Gürsoy, E. Kiritsis and F. Nitti, Exploring improved holographic theories for QCD: part II, JHEP 02 (2008) 019 [arXiv:0707.1349] [INSPIRE].
U. Gürsoy, E. Kiritsis, L. Mazzanti and F. Nitti, Holography and thermodynamics of 5D dilaton-gravity, JHEP 05 (2009) 033 [arXiv:0812.0792] [INSPIRE].
U. Gürsoy, E. Kiritsis, L. Mazzanti and F. Nitti, Improved holographic Yang-Mills at finite temperature: comparison with data, Nucl. Phys. B 820 (2009) 148 [arXiv:0903.2859] [INSPIRE].
R. Casero, E. Kiritsis and A. Paredes, Chiral symmetry breaking as open string tachyon condensation, Nucl. Phys. B 787 (2007) 98 [hep-th/0702155] [INSPIRE].
I. Iatrakis, E. Kiritsis and A. Paredes, An AdS/QCD model from tachyon condensation: II, JHEP 11 (2010) 123 [arXiv:1010.1364] [INSPIRE].
M. Jarvinen and E. Kiritsis, Holographic Models for QCD in the Veneziano limit, JHEP 03 (2012) 002 [arXiv:1112.1261] [INSPIRE].
T. Alho, M. Järvinen, K. Kajantie, E. Kiritsis and K. Tuominen, On finite-temperature holographic QCD in the Veneziano limit, JHEP 01 (2013) 093 [arXiv:1210.4516] [INSPIRE].
D. Arean, I. Iatrakis, M. Järvinen and E. Kiritsis, V-QCD: spectra, the dilaton and the S-parameter, Phys. Lett. B 720 (2013) 219 [arXiv:1211.6125] [INSPIRE].
D. Areán, I. Iatrakis, M. Järvinen and E. Kiritsis, The discontinuities of conformal transitions and mass spectra of V-QCD, JHEP 11 (2013) 068 [arXiv:1309.2286] [INSPIRE].
T. Alho, M. Järvinen, K. Kajantie, E. Kiritsis, C. Rosen and K. Tuominen, A holographic model for QCD in the Veneziano limit at finite temperature and density, JHEP 04 (2014) 124 [Erratum ibid. 02 (2015) 033] [arXiv:1312.5199] [INSPIRE].
M. Jarvinen, Massive holographic QCD in the Veneziano limit, JHEP 07 (2015) 033 [arXiv:1501.07272] [INSPIRE].
E. D’Hoker and P. Kraus, Magnetic brane solutions in AdS, JHEP 10 (2009) 088 [arXiv:0908.3875] [INSPIRE].
G. Basar and D.E. Kharzeev, The Chern-Simons diffusion rate in strongly coupled N = 4 SYM plasma in an external magnetic field, Phys. Rev. D 85 (2012) 086012 [arXiv:1202.2161] [INSPIRE].
G.D. Moore and M. Tassler, The sphaleron rate in SU(N) gauge theory, JHEP 02 (2011) 105 [arXiv:1011.1167] [INSPIRE].
D.T. Son and P. Surowka, Hydrodynamics with triangle anomalies, Phys. Rev. Lett. 103 (2009) 191601 [arXiv:0906.5044] [INSPIRE].
D.T. Son and A.O. Starinets, Minkowski space correlators in AdS/CFT correspondence: recipe and applications, JHEP 09 (2002) 042 [hep-th/0205051] [INSPIRE].
B. Craps, C. Hoyos, P. Surowka and P. Taels, Chern-Simons diffusion rate in a holographic Yang-Mills theory, JHEP 11 (2012) 109 [Erratum ibid. 02 (2013) 087] [arXiv:1209.2532] [INSPIRE].
U. Gürsoy, I. Iatrakis, E. Kiritsis, F. Nitti and A. O’Bannon, The Chern-Simons diffusion rate in improved holographic QCD, JHEP 02 (2013) 119 [arXiv:1212.3894] [INSPIRE].
R. Rougemont, R. Critelli and J. Noronha, Holographic calculation of the QCD crossover temperature in a magnetic field, Phys. Rev. D 93 (2016) 045013 [arXiv:1505.07894] [INSPIRE].
G.S. Bali, F. Bruckmann, G. Endrodi, Z. Fodor, S.D. Katz and A. Schafer, QCD quark condensate in external magnetic fields, Phys. Rev. D 86 (2012) 071502 [arXiv:1206.4205] [INSPIRE].
G.S. Bali, F. Bruckmann, G. Endrödi, S.D. Katz and A. Schäfer, The QCD equation of state in background magnetic fields, JHEP 08 (2014) 177 [arXiv:1406.0269] [INSPIRE].
E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131] [INSPIRE].
U. Gürsoy and A. Jansen, (Non)renormalization of anomalous conductivities and holography, JHEP 10 (2014) 092 [arXiv:1407.3282] [INSPIRE].
A. Jimenez-Alba, K. Landsteiner and L. Melgar, Anomalous magnetoresponse and the Stückelberg axion in holography, Phys. Rev. D 90 (2014) 126004 [arXiv:1407.8162] [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].
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Drwenski, T., Gürsoy, U. & Iatrakis, I. Thermodynamics and CP-odd transport in holographic QCD with finite magnetic field. J. High Energ. Phys. 2016, 49 (2016). https://doi.org/10.1007/JHEP12(2016)049
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DOI: https://doi.org/10.1007/JHEP12(2016)049