Journal of Holography Applications in Physics
Baryon density and magnetic field effects on chaos in a QQ̅ system at finite temperature
Document Type : Review article
Author
Istituto Nazionale di Fisica Nucleare, Sezione di Bari, Via Orabona 4, I-70126 Bari, Italy Dipartimento Interateneo di Fisica "M. Merlin", Università e Politecnico di Bari, via Orabona 4, 70126 Bari, Italy
Abstract
Baryon density and magnetic field effect on chaos for the holographic dual of a QQ̅ system at finite temperature is studied. A string in an AdS Reissner–Nordstrom background, and in a metric with magnetic field near the black-hole horizon is considered and small time-dependent perturbations of the static configurations are investigated. The proximity to the horizon induces chaos, which is softened increasing
the chemical potential or the magnetic field. A background geometry including the effect of a dilaton is also examined. The Maldacena, Shenker, and Stanford bound on the Lyapunov exponents characterizing the perturbations is satisfied for finite baryon chemical potential and magnetic field and when the dilaton is included in the metric.
Keywords
Main Subjects
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[16] J. de Boer, E. Llabrs, J. F. Pedraza, and D. Vegh, "Chaotic strings in AdS/CFT", Phys. Rev. Lett. 120, 201604 (2018).
[17] S. Dalui, B. R. Majhi, and P. Mishra, "Presence of horizon makes particle motion chaotic", Phys. Lett. B 788, 486493 (2019).
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[23] C. Nunez, M. Piai, and A. Rago, "Wilson Loops in string duals of Walking and Flavored Systems", Phys. Rev. D 81, 086001 (2010).
[24] L. Bellantuono, P. Colangelo, F. De Fazio, F. Giannuzzi, and S. Nicotri, "Quarkonium dissociation in a far-from-equilibrium holographic setup", Phys. Rev. D 96, 034031 (2017).
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[26] T. Ishii, K. Murata, and K. Yoshida, "Fate of chaotic strings in a con ning geometry", Phys. Rev. D 95, 066019 (2017).
[27] T. Akutagawa, K. Hashimoto, K. Murata, and T. Ota, "Chaos of QCD string from holography", Phys. Rev. D 100, 046009 (2019).
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[30] A. Ballon-Bayona, J. P. Shock, and D. Zoakos, "Magnetic catalysis and the chiral condensate in holographic QCD", JHEP 10, 193 (2020).
[31] I. Y. Aref'eva, K. Rannu, and P. Slepov, "Holographic model for heavy quarks in anisotropic hot dense QGP with external magnetic eld", JHEP 07, 161 (2021).
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[33] I. Y. Aref'eva, K. Rannu, and P. S. Slepov, "Anisotropic solutions for a holographic heavy-quark model with an external magnetic eld", Teor. Mat. Fiz. 207, 4457 (2021).
[34] I. Y. Aref'eva, A. Ermakov, K. Rannu, and P. Slepov, "Holographic model for light quarks in anisotropic hot dense QGP with external magnetic eld", [arXiv:2203.12539].
[35] B. H. Lee, C. Park, and S. J. Sin, "A dual geometry of the hadron in dense matter", JHEP 0907, 087 (2009).
[36] E. D'Hoker and P. Kraus, "Magnetic Brane Solutions in AdS", JHEP 10, 088 (2009), [37] E. D'Hoker and P. Kraus, "Charged Magnetic Brane Solutions in AdS(5) and the fate of the third law of thermodynamics", JHEP 03, 095 (2010).
[38] D. Li, M. Huang, Y. Yang, and P.-H. Yuan, "Inverse Magnetic Catalysis in the Soft-Wall Model of AdS/QCD", JHEP 02, 030 (2017).
[39] M. Sandri, "Numerical calculation of Lyapunov exponents", Mathematica Journal 6, 7884 (1996).
[40] P. Colangelo, F. Giannuzzi, S. Nicotri, and F. Zuo, "Temperature and chemical potential dependence of the gluon condensate: a holographic study", Phys. Rev. D 88, 115011 (2013).
[41] P. Colangelo, F. Giannuzzi, and S. Nicotri, "Holography, Heavy-Quark Free Energy, and the QCD Phase Diagram", Phys. Rev. D 83, 035015 (2011).
[42] P. Colangelo, F. Giannuzzi, S. Nicotri, and V. Tangorra, "Temperature and quark density eects on the chiral condensate: An AdS/QCD study", Eur. Phys. J. C 72, 2096 (2012).
[43] P. Colangelo, F. Giannuzzi, and S. Nicotri, "In-medium hadronic spectral functions through the soft-wall holographic model of QCD", JHEP 05, 076 (2012).
[2] P. Colangelo, F. Giannuzzi, and N. Losacco, "Chaotic dynamics of a suspended string in a gravitational background with magnetic eld", Phys. Lett. B 827, 136949 (2022).
[3] J. Maldacena, S. H. Shenker, and D. Stanford, "A bound on chaos", JHEP 08, 106 (2016).
[4] Y. Sekino and L. Susskind, "Fast Scramblers", JHEP 10, 065 (2008).
[5] L. Susskind, "Addendum to Fast Scramblers", [arXiv:1101.604].
[6] S. H. Shenker and D. Stanford, "Black holes and the butter y eect", JHEP 03, 067 (2014).
[7] S. H. Shenker and D. Stanford, "Stringy eects in scrambling", JHEP 05, 132 (2015).
[8] A. Kitaev, "Hidden correlations in the Hawking radiation and thermal noise", Break-through Prize Fundamental Physics Symposium, 11/10/2014, KITP seminar (2014).
[9] J. Polchinski, "Chaos in the black hole S-matrix", [arXiv:1505.08108]
[10] D. Giataganas, "Chaotic Motion near Black Hole and Cosmological Horizons", [arXiv:2112.02081].
[11] L. Susskind, "Why do Things Fall?", [arXiv:1802.01198].
[12] A. R. Brown, H. Gharibyan, A. Streicher, L. Susskind, L. Thorlacius, and Y. Zhao, "Falling Toward Charged Black Holes", Phys. Rev. D 98, 126016 (2018).
[13] J. M. Maldacena, "Wilson loops in large N eld theories", Phys. Rev. Lett. 80, 48594862 (1998).
[14] E. Witten, "Anti-de Sitter space and holography", Adv. Theor. Math. Phys. 2, 253 (1998).
[15] S. Gubser, I. R. Klebanov, and A. M. Polyakov, "Gauge theory correlators from non-critical string theory", Phys. Lett. B 428, 105114 (1998).
[16] J. de Boer, E. Llabrs, J. F. Pedraza, and D. Vegh, "Chaotic strings in AdS/CFT", Phys. Rev. Lett. 120, 201604 (2018).
[17] S. Dalui, B. R. Majhi, and P. Mishra, "Presence of horizon makes particle motion chaotic", Phys. Lett. B 788, 486493 (2019).
[18] S. Dalui and B. R. Majhi, "Near horizon local instability and quantum thermality", Phys. Rev. D 102, 124047 (2020).
[19] D. S. Ageev, "Butter ies dragging the jets: on the chaotic nature of holographic QCD", [arXiv:2105.04589]
[20] D.-Z. Ma, F. Xia, D. Zhang, G.-Y. Fu, and J.-P. Wu, "Chaotic dynamics of string around the conformal black hole", Eur. Phys. J. C 82, 372 (2022).
[21] S. D. Avramis, K. Sfetsos, and K. Siampos, "Stability of strings dual to ux tubes between static quarks in N = 4 SYM", Nucl. Phys. B 769, 4478 (2007).
[22] R. E. Arias and G. A. Silva, "Wilson loops stability in the gauge/string correspondence", JHEP 01, 023 (2010).
[23] C. Nunez, M. Piai, and A. Rago, "Wilson Loops in string duals of Walking and Flavored Systems", Phys. Rev. D 81, 086001 (2010).
[24] L. Bellantuono, P. Colangelo, F. De Fazio, F. Giannuzzi, and S. Nicotri, "Quarkonium dissociation in a far-from-equilibrium holographic setup", Phys. Rev. D 96, 034031 (2017).
[25] K. Hashimoto, K. Murata, and N. Tanahashi, "Chaos of Wilson Loop from String Motion near Black Hole Horizon", Phys. Rev. D 98, 086007 (2018).
[26] T. Ishii, K. Murata, and K. Yoshida, "Fate of chaotic strings in a con ning geometry", Phys. Rev. D 95, 066019 (2017).
[27] T. Akutagawa, K. Hashimoto, K. Murata, and T. Ota, "Chaos of QCD string from holography", Phys. Rev. D 100, 046009 (2019).
[28] I. Halder, "Global Symmetry and Maximal Chaos", [arXiv:1908.05281]. [29] R. Critelli, R. Rougemont, S. I. Finazzo, and J. Noronha, "Polyakov loop and heavy quark entropy in strong magnetic elds from holographic black hole engineering", Phys. Rev. D 94, 125019 (2016).
[30] A. Ballon-Bayona, J. P. Shock, and D. Zoakos, "Magnetic catalysis and the chiral condensate in holographic QCD", JHEP 10, 193 (2020).
[31] I. Y. Aref'eva, K. Rannu, and P. Slepov, "Holographic model for heavy quarks in anisotropic hot dense QGP with external magnetic eld", JHEP 07, 161 (2021).
[32] I. Y. Aref'eva, K. Rannu, and P. Slepov, "Energy Loss in Holographic Anisotropic Model for Heavy Quarks in External Magnetic Field", [arXiv:2012.05758].
[33] I. Y. Aref'eva, K. Rannu, and P. S. Slepov, "Anisotropic solutions for a holographic heavy-quark model with an external magnetic eld", Teor. Mat. Fiz. 207, 4457 (2021).
[34] I. Y. Aref'eva, A. Ermakov, K. Rannu, and P. Slepov, "Holographic model for light quarks in anisotropic hot dense QGP with external magnetic eld", [arXiv:2203.12539].
[35] B. H. Lee, C. Park, and S. J. Sin, "A dual geometry of the hadron in dense matter", JHEP 0907, 087 (2009).
[36] E. D'Hoker and P. Kraus, "Magnetic Brane Solutions in AdS", JHEP 10, 088 (2009), [37] E. D'Hoker and P. Kraus, "Charged Magnetic Brane Solutions in AdS(5) and the fate of the third law of thermodynamics", JHEP 03, 095 (2010).
[38] D. Li, M. Huang, Y. Yang, and P.-H. Yuan, "Inverse Magnetic Catalysis in the Soft-Wall Model of AdS/QCD", JHEP 02, 030 (2017).
[39] M. Sandri, "Numerical calculation of Lyapunov exponents", Mathematica Journal 6, 7884 (1996).
[40] P. Colangelo, F. Giannuzzi, S. Nicotri, and F. Zuo, "Temperature and chemical potential dependence of the gluon condensate: a holographic study", Phys. Rev. D 88, 115011 (2013).
[41] P. Colangelo, F. Giannuzzi, and S. Nicotri, "Holography, Heavy-Quark Free Energy, and the QCD Phase Diagram", Phys. Rev. D 83, 035015 (2011).
[42] P. Colangelo, F. Giannuzzi, S. Nicotri, and V. Tangorra, "Temperature and quark density eects on the chiral condensate: An AdS/QCD study", Eur. Phys. J. C 72, 2096 (2012).
[43] P. Colangelo, F. Giannuzzi, and S. Nicotri, "In-medium hadronic spectral functions through the soft-wall holographic model of QCD", JHEP 05, 076 (2012).
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Volume 2, Issue 3
We would like to dedicate this issue to the memory of Prof. M.R. Setare.August 2022Pages 55-70
- Receive Date: 24 May 2022
- Revise Date: 01 July 2022
- Accept Date: 09 July 2022