Papers
Topics
Authors
Recent
Search
2000 character limit reached

Out-of-time-order correlators of Skyrmion as baryon in holographic QCD

Published 9 Jan 2024 in hep-th | (2401.04421v1)

Abstract: As the out-of-time-order correlator (OTOC) is a measure of quantum chaos and an important observable in the context of AdS/CFT, we investigate the OTOC of holographic Skyrmion which is described by an analytical quantum mechanical system from the D4/D8 model (as the holographic QCD). By employing the OTOC defined in quantum mechanics, we derive the formulas and demonstrate the numerical calculations of the OTOC explicitly which is also available for the general case with central force field. Our numerical evaluation illustrates the behaviors of the OTOC with large $N_{c}$, however the expected exponential growth of OTOC is not obtained. Besides, we also take a look at the classical limit of the OTOC and analyze the associated behaviors. At the end of this work, we additionally study the OTOC with three-dimensional Coulomb potential, as another example for the central force field, to support our analyses of the general properties of quantum OTOC.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (44)
  1. A. Larkin, Y. Ovchinnikov, “Quasiclassical method in the theory of superconductivity”, J. Exp. Theor. Phys. 28, 1200–1205 (1969).
  2. J. Maldacena, S Shenke, D. Stanford, “A bound on chaos”, JHEP 08 (2016) 106, arXiv:1503.01409.
  3. K. Hashimoto, K. Murata, R.Yoshii, “Out-of-time-order correlators in quantum mechanics”, JHEP 10 (2017) 138, arXiv:1703.09435.
  4. K. Hashimoto, K. Murata, K.Yoshida, “Chaos in chiral condensates in gauge theories”, Phys.Rev.Lett. 117 (2016) 23, 231602, arXiv:1605.08124.
  5. T. Akutagawa, K. Hashimoto, T. Sasaki, R. Watanabe, “Out-of-time-order correlator in coupled harmonic oscillators”, JHEP 08 (2020) 013, arXiv:2004.04381.
  6. J. Maldacena, “The Large N limit of superconformal field theories and supergravity”, Adv.Theor.Math.Phys. 2 (1998) 231-252, arXiv:hep-th/9711200.
  7. O. Aharony, S. Gubser, J. Maldacena, H. Ooguri, Y. Oz, “Large N field theories, string theory and gravity”, Phys. Rept. 323 (2000) 183, arXiv:hep-th/9905111.
  8. S. Shenker, D. Stanford, “Black holes and the butterfly effect”, JHEP 03 (2014) 067, arXiv:1306.0622.
  9. S. Shenker, D. Stanford, “Multiple Shocks”, JHEP 12 (2014) 046, arXiv:1312.3296.
  10. S. Leichenauer, “Disrupting Entanglement of Black Holes”, Phys.Rev.D 90 (2014) 4, 046009, arXiv:1405.7365.
  11. S. H. Shenker, D. Stanford, “Stringy effects in scrambling”, JHEP 05 (2015) 132, arXiv:1412.6087.
  12. S. Jackson, L. McGough, H. Verlinde, “Conformal Bootstrap, Universality and Gravitational Scattering”, Nucl.Phys.B 901 (2015) 382-42, arXiv:1412.5205.
  13. J. Polchinski, “Chaos in the black hole S-matrix”, arXiv:1505.08108.
  14. S. Sachdev, J. Ye, “Gapless spin fluid ground state in a random, quantum Heisenberg magnet”, Phys.Rev.Lett. 70 (1993) 3339, arXiv:cond-mat/9212030.
  15. D. J. Gross, V. Rosenhaus, “A Generalization of Sachdev-Ye-Kitaev”, JHEP 02 (2017) 093, arXiv:1610.01569.
  16. E. Witten, “An SYK-Like Model Without Disorder”, J.Phys.A 52 (2019) 47, 474002, arXIv:1610.09758.
  17. T. Nishinaka, S. Terashima, “A note on Sachdev–Ye–Kitaev like model without random coupling”, Nucl.Phys.B 926 (2018) 321-334, arXiv:1611.10290.
  18. S. Li, X. Zhang, “The D4/D8 Model and Holographic QCD”, Symmetry 15 (2023) 6, 1213, arXiv:2304.10826.
  19. H. Hata, T. Sakai, S. Sugimoto, S. Yamato, “Baryons from instantons in holographic QCD”, Prog.Theor.Phys. 117 (2007) 1157, arXiv:hep-th/0701280.
  20. H. Hata, M. Murata, “Baryons and the Chern-Simons term in holographic QCD with three flavors”, Prog.Theor.Phys. 119 (2008) 461-490, arXiv:0710.2579.
  21. E. Witten, “Anti-de Sitter space, thermal phase transition, and confinement in gauge theories”, Adv. Theor. Math. Phys. 2 (1998), 505-532, arXiv:hep-th/9803131.
  22. T. Sakai, S. Sugimoto, “Low energy hadron physics in holographic QCD”, Prog.Theor.Phys. 113 (2005) 843-882, arXiv:hep-th/0412141.
  23. E. Kiritsis, “String Theory in a Nutshell”, Princeton University Press 2019.
  24. S. Li, H. Li, S. Luo, “Corrections to the instanton configuration as baryon in holographic QCD”, Phys.Rev.D 106 (2022) 12, 126027, arXiv:2209.12521.
  25. A. Imaanpur, “Correction to baryon spectrum in holographic QCD”, Phys.Lett.B 832 (2022) 137233, arXiv:2206.13878.
  26. S. Li, A. Schmitt, Q. Wang, “From holography towards real-world nuclear matter”, Phys.Rev.D 92 (2015) 2, 026006, arXiv:1505.04886.
  27. N.Kovensky, A.Schmitt, “Heavy Holographic QCD”, JHEP 02 (2020) 096, arXiv:1911.08433.
  28. F. Bigazzi, A. L. Cotrone, “Holographic QCD with Dynamical Flavors”, JHEP 1501 (2015) 104, arXiv:1410.2443.
  29. S. Li, T. Jia, “Dynamically flavored description of holographic QCD in the presence of a magnetic field”, Phys.Rev. D96 (2017) no.6, 066032, arXiv:1604.07197.
  30. O. Aharony, J. Sonnenschein, S. Yankielowicz, “A Holographic model of deconfinement and chiral symmetry restoration”, Annals Phys. 322 (2007) 1420-1443, arXiv:hep-th/0604161.
  31. L. Bartolini, F. Bigazzi, S. Bolognesi, A. L. Cotrone, A. Manenti, “Theta dependence in Holographic QCD”, JHEP 02 (2017) 029, arXiv:1611.00048.
  32. F. Bigazzi, A. L. Cotrone, R. Sisca, “Notes on Theta Dependence in Holographic Yang-Mills”, JHEP 08 (2015) 090, arXiv:1506.03826.
  33. C. Wu, Z. Xiao, D. Zhou, “Sakai-Sugimoto model in D0-D4 background”, Phys.Rev.D 88 (2013) 2, 026016, arXiv:1304.2111.
  34. N. R. Constable, R. C. Myers, “Spin-two glueballs, positive energy theorems and the AdS/CFT correspondence”, JHEP 9910 (1999) 037, arXiv:hep-th/9908175.
  35. R. C. Brower, S. D. Mathur, C.-I. Tan, “Glueball spectrum for QCD from AdS supergravity duality”, Nucl.Phys. B587 (2000) 249–276, arXiv:hep-th/0003115.
  36. K. Hashimoto, C. -I Tan, S. Terashima, “Glueball Decay in Holographic QCD”, Phys.Rev.D77:086001,2008, arXiv:0709.2208.
  37. F. Brünner, D. Parganlija, A. Rebhan, “Glueball Decay Rates in the Witten-Sakai-Sugimoto Model”, Phys.Rev. D91 (2015) no.10, 106002, (Erratum:) Phys.Rev. D93 (2016) no.10, 109903, arXiv:1501.07906.
  38. E. Witten, “Baryons and branes in anti-de Sitter space”, JHEP 07 (1998) 006, arXiv:hep-th/9805112.
  39. D. Tong, “TASI lectures on solitons: Instantons, monopoles, vortices and kinks”, TASI 2005, arXiv:hep-th/0509216.
  40. I. Zahed, G.E. Brown, “The Skyrme Model”, Phys.Rept. 142 (1986) 1-102.
  41. G. Adkins, C. Nappi, E. Witten, “Static Properties of Nucleons in the Skyrme Model”, Nucl.Phys.B 228 (1983) 552.
  42. N. Manton, “A Remark on the Scattering of BPS Monopoles”, Phys.Lett.B 110 (1982) 54-56.
  43. J. Harvey, “Magnetic monopoles, duality and supersymmetry”, arXiv:hep-th/9603086.
  44. E. Weinberg, P. Yi, “Magnetic Monopole Dynamics, Supersymmetry, and Duality”, Phys.Rept. 438 (2007) 65-236, arXiv:hep-th/0609055.
Citations (5)
View on Semantic Scholar

Summary

No one has generated a summary of this paper yet.

Sign Up to Summarize

Paper to Video (Beta)

No one has generated a video about this paper yet.

Sign Up to Generate All Videos Subscribe on YouTube

Whiteboard

No one has generated a whiteboard explanation for this paper yet.

Sign Up to Generate

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Generate Now

Continue Learning

We haven't generated follow-up questions for this paper yet.

Generate Now

Authors (3)

  1. Si-wen Li 
  2. Yi-peng Zhang 
  3. Hao-qian Li 

Collections

Sign up for free to add this paper to one or more collections.

Sign Up