Abstract
We use top-down holographic models to study the thermal equation of state of strongly coupled quark-gluon plasma in external magnetic field. We identify different conformal and non-conformal theories within consistent truncations of \( \mathcal{N} \) = 8 gauged supergravity in five dimensions (including STU models, gauged \( \mathcal{N} \) = 2* theory) and show that the ratio of the transverse to the longitudinal pressure PT /PL as a function of T /\( \sqrt{B} \) can be collapsed to a ‘universal’ curve for a wide range of the adjoint hypermultiplet masses m. We stress that this does not imply any hidden universality in magnetoresponse, as other observables do not exhibit any universality. Instead, the observed collapse in PT /PL is simply due to a strong dependence of the equation of state on the (freely adjustable) renormalization scale: in other words, it is simply a fitting artifact. Remarkably, we do uncover a different universality in \( \mathcal{N} \) = 2* gauge theory in the external magnetic field: we show that magnetized \( \mathcal{N} \) = 2* plasma has a critical point at Tcrit/\( \sqrt{B} \) which value varies by 2% (or less) as m/\( \sqrt{B} \) ∈ [0, ∞). At criticality, and for large values of m/\( \sqrt{B} \), the effective central charge of the theory scales as ∝ \( \sqrt{B} \)/m.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G. Endrodi, M. Kaminski, A. Schafer, J. Wu and L. Yaffe, Universal Magnetoresponse in QCD and \( \mathcal{N} \) = 4 SYM, JHEP 09 (2018) 070 [arXiv:1806.09632] [INSPIRE].
G.S. Bali, F. Bruckmann, G. Endrodi, F. Gruber and A. Schaefer, Magnetic field-induced gluonic (inverse) catalysis and pressure (an)isotropy in QCD, JHEP 04 (2013) 130 [arXiv:1303.1328] [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. D’Hoker and P. Kraus, Magnetic Brane Solutions in AdS, JHEP 10 (2009) 088 [arXiv:0908.3875] [INSPIRE].
J.M. Maldacena, The Large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [hep-th/9711200] [INSPIRE].
O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111] [INSPIRE].
N. Bobev, A. Kundu, K. Pilch and N.P. Warner, Supersymmetric Charged Clouds in AdS_5, JHEP 03 (2011) 070 [arXiv:1005.3552] [INSPIRE].
K. Pilch and N.P. Warner, N = 2 supersymmetric RG flows and the IIB dilaton, Nucl. Phys. B 594 (2001) 209 [hep-th/0004063] [INSPIRE].
A. Buchel, A.W. Peet and J. Polchinski, Gauge dual and noncommutative extension of an N = 2 supergravity solution, Phys. Rev. D 63 (2001) 044009 [hep-th/0008076] [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].
M. Cvetič and S.S. Gubser, Phases of R charged black holes, spinning branes and strongly coupled gauge theories, JHEP 04 (1999) 024 [hep-th/9902195] [INSPIRE].
C. Hoyos, Higher dimensional conformal field theories in the Coulomb branch, Phys. Lett. B 696 (2011) 145 [arXiv:1010.4438] [INSPIRE].
A. Buchel, Entanglement entropy of \( \mathcal{N} \) = 2* de Sitter vacuum, Nucl. Phys. B 948 (2019) 114769 [arXiv:1904.09968] [INSPIRE].
A. Buchel, Bulk viscosity of gauge theory plasma at strong coupling, Phys. Lett. B 663 (2008) 286 [arXiv:0708.3459] [INSPIRE].
L.J. Romans, The F (4) Gauged Supergravity in Six-dimensions, Nucl. Phys. B 269 (1986) 691 [INSPIRE].
M. Cvetič, H. Lü and C.N. Pope, Gauged six-dimensional supergravity from massive type IIA, Phys. Rev. Lett. 83 (1999) 5226 [hep-th/9906221] [INSPIRE].
K. Chen and M. Gutperle, Holographic line defects in F (4) gauged supergravity, Phys. Rev. D 100 (2019) 126015 [arXiv:1909.11127] [INSPIRE].
A. Buchel, M.P. Heller and R.C. Myers, Equilibration rates in a strongly coupled nonconformal quark-gluon plasma, Phys. Rev. Lett. 114 (2015) 251601 [arXiv:1503.07114] [INSPIRE].
A. Buchel and C. Pagnutti, Critical phenomena in N = 2* plasma, Phys. Rev. D 83 (2011) 046004 [arXiv:1010.3359] [INSPIRE].
A. Buchel, S. Deakin, P. Kerner and J.T. Liu, Thermodynamics of the N = 2* strongly coupled plasma, Nucl. Phys. B 784 (2007) 72 [hep-th/0701142] [INSPIRE].
K. Skenderis, Lecture notes on holographic renormalization, Class. Quant. Grav. 19 (2002) 5849 [hep-th/0209067] [INSPIRE].
A. Buchel and J.T. Liu, Universality of the shear viscosity in supergravity, Phys. Rev. Lett. 93 (2004) 090602 [hep-th/0311175] [INSPIRE].
V. Balasubramanian and A. Buchel, On consistent truncations in N = 2* holography, JHEP 02 (2014) 030 [arXiv:1311.5044] [INSPIRE].
K. Behrndt, A.H. Chamseddine and W.A. Sabra, BPS black holes in N = 2 five-dimensional AdS supergravity, Phys. Lett. B 442 (1998) 97 [hep-th/9807187] [INSPIRE].
O. Aharony, A. Buchel and P. Kerner, The Black hole in the throat: Thermodynamics of strongly coupled cascading gauge theories, Phys. Rev. D 76 (2007) 086005 [arXiv:0706.1768] [INSPIRE].
A. Buchel, N = 2* hydrodynamics, Nucl. Phys. B 708 (2005) 451 [hep-th/0406200] [INSPIRE].
A. Buchel, L. Lehner and R.C. Myers, Thermal quenches in N = 2* plasmas, JHEP 08 (2012) 049 [arXiv:1206.6785] [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
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2004.01583
Rights and permissions
This article is published under an open access license. Please check the 'Copyright Information' section either on this page or in the PDF for details of this license and what re-use is permitted. If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and re-use information, please contact the Rights and Permissions team.
About this article
Cite this article
Buchel, A., Umbert, B. QGP universality in a magnetic field?. J. High Energ. Phys. 2020, 149 (2020). https://doi.org/10.1007/JHEP06(2020)149
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP06(2020)149