Abstract
We use the gauge gravity correspondence to study the renormalization group flow of a double trace fermionic operator in a quark-gluon plasma subject to the influence of a strong magnetic field and compare it with the results for the case at zero temperature and no magnetic field, where the flow between two fixed points is observed. Our results show that the energy necessary to access the physics of the ultraviolet theory increases with the intensity of the magnetic field under which the processes happen. We provide arguments to support that this increase is scheme independent, and to exhibit further evidence we do a very simple calculation showing that the dimensional reduction expected in the gauge theory in this scenario is effective up to an energy scale that grows with the strength of such a background field. We also show that independently of the renormalization scheme, the coupling of the double trace operators in the ultraviolet fixed point increases with the intensity of the background field. These effects combined can change both, the processes that are expected to be involved in a collision experiment at a given energy and the azimuthal anisotropy of the measurements resulting of them.
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References
M. Bianchi, D.Z. Freedman and K. Skenderis, How to go with an RG flow, JHEP 08 (2001) 041 [hep-th/0105276] [INSPIRE].
M. Bianchi, D.Z. Freedman and K. Skenderis, Holographic renormalization, Nucl. Phys. B 631 (2002) 159 [hep-th/0112119] [INSPIRE].
K. Skenderis and S.N. Solodukhin, Quantum effective action from the AdS/CFT correspondence, Phys. Lett. B 472 (2000) 316 [hep-th/9910023] [INSPIRE].
D.Z. Freedman, S.S. Gubser, K. Pilch and N.P. Warner, Renormalization group flows from holography supersymmetry and a c theorem, Adv. Theor. Math. Phys. 3 (1999) 363 [hep-th/9904017] [INSPIRE].
J. de Boer, The Holographic renormalization group, Fortsch. Phys. 49 (2001) 339 [hep-th/0101026] [INSPIRE].
I. Heemskerk and J. Polchinski, Holographic and Wilsonian Renormalization Groups, JHEP 06 (2011) 031 [arXiv:1010.1264] [INSPIRE].
T. Faulkner, H. Liu and M. Rangamani, Integrating out geometry: Holographic Wilsonian RG and the membrane paradigm, JHEP 08 (2011) 051 [arXiv:1010.4036] [INSPIRE].
J. de Boer, E.P. Verlinde and H.L. Verlinde, On the holographic renormalization group, JHEP 08 (2000) 003 [hep-th/9912012] [INSPIRE].
K. Skenderis, Lecture notes on holographic renormalization, Class. Quant. Grav. 19 (2002) 5849 [hep-th/0209067] [INSPIRE].
V. Balasubramanian, M. Guica and A. Lawrence, Holographic Interpretations of the Renormalization Group, JHEP 01 (2013) 115 [arXiv:1211.1729] [INSPIRE].
E. Uriel and L. Patiño, Holographic implications of a magnetic brane lift to ten dimensions, to appear.
J.N. Laia and D. Tong, Flowing Between Fermionic Fixed Points, JHEP 11 (2011) 131 [arXiv:1108.2216] [INSPIRE].
E. D’Hoker and P. Kraus, Magnetic Brane Solutions in AdS, JHEP 10 (2009) 088 [arXiv:0908.3875] [INSPIRE].
G. Arciniega, P. Ortega and L. Patiño, Brighter Branes, enhancement of photon production by strong magnetic fields in the gauge/gravity correspondence, JHEP 04 (2014) 192 [arXiv:1307.1153] [INSPIRE].
D. Areán, L.A. Pando Zayas, L. Patiño and M. Villasante, Velocity Statistics in Holographic Fluids: Magnetized quark-gluon Plasma and Superfluid Flow, JHEP 10 (2016) 158 [arXiv:1606.03068] [INSPIRE].
M. Ammon, J. Leiber and R.P. Macedo, Phase diagram of 4D field theories with chiral anomaly from holography, JHEP 03 (2016) 164 [arXiv:1601.02125] [INSPIRE].
M. Ammon, M. Kaminski, R. Koirala, J. Leiber and J. Wu, Quasinormal modes of charged magnetic black branes & chiral magnetic transport, JHEP 04 (2017) 067 [arXiv:1701.05565] [INSPIRE].
E. D’Hoker and B. Pourhamzeh, Emergent super-Virasoro on magnetic branes, JHEP 06 (2016) 146 [arXiv:1602.01487] [INSPIRE].
P.C. Argyres, M. Edalati and J.F. Vázquez-Poritz, No-drag string configurations for steadily moving quark-antiquark pairs in a thermal bath, JHEP 01 (2007) 105 [hep-th/0608118] [INSPIRE].
P.C. Argyres, M. Edalati and J.F. Vazquez-Poritz, Lightlike Wilson loops from AdS/CFT, JHEP 03 (2008) 071 [arXiv:0801.4594] [INSPIRE].
M. Chernicoff and A. Güijosa, Acceleration, Energy Loss and Screening in Strongly-Coupled Gauge Theories, JHEP 06 (2008) 005 [arXiv:0803.3070] [INSPIRE].
M. Chernicoff, J.A. García, A. Güijosa and J.F. Pedraza, Holographic Lessons for Quark Dynamics, J. Phys. G 39 (2012) 054002 [arXiv:1111.0872] [INSPIRE].
D. Mateos, R.C. Myers and R.M. Thomson, Thermodynamics of the brane, JHEP 05 (2007) 067 [hep-th/0701132] [INSPIRE].
Q.J. Ejaz, T. Faulkner, H. Liu, K. Rajagopal and U.A. Wiedemann, A Limiting velocity for quarkonium propagation in a strongly coupled plasma via AdS/CFT, JHEP 04 (2008) 089 [arXiv:0712.0590] [INSPIRE].
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Martínez-y-Romero, R.P., Patiño, L. & Ramírez-Urrutia, T. Increase of the energy necessary to probe ultraviolet theories due to the presence of a strong magnetic field. J. High Energ. Phys. 2017, 104 (2017). https://doi.org/10.1007/JHEP11(2017)104
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DOI: https://doi.org/10.1007/JHEP11(2017)104