Abstract:
We study correlation functions of scalar operators on the boundary of the AdS3 space deformed by moving massive particles in the context of the AdS/CFT duality. To calculate two-point correlation functions, we use the geodesic approximation and the renormalized image method, obtained from the traditional image method with the renormalization taken into account. We compare results obtained using the renormalized image method with direct calculations using tracing of winding geodesics around the cone singularities. Examples demonstrate that the results coincide. We show that correlators in the geodesic approximation have a zone structure, which depends substantially on the particle mass and velocity.
This research is supported by the Russian Foundation
for Basic Research (Grant No. 14-01-00707). The research of D. S. Ageev is supported by the
Grant Council of the President of Russia (Grant No. MK-2510.2014.1).
The research of I. Ya. Aref'eva was supported in
part by the INFN during the preparation of this work.
Citation:
D. S. Ageev, I. Ya. Aref'eva, M. D. Tikhanovskaya, “(1+1)-Correlators and moving massive defects”, TMF, 188:1 (2016), 85–120; Theoret. and Math. Phys., 188:1 (2016), 1038–1068
This publication is cited in the following 15 articles:
Dmitry S. Ageev, Andrey A. Bagrov, Aleksandr I. Belokon, Askar Iliasov, Vasilii V. Pushkarev, Femke Verheijen, “Local quenches in fracton field theory: Lieb-Robinson bound, noncausal dynamics and fractal excitation patterns”, Phys. Rev. D, 110:6 (2024)
Dmitry S. Ageev, Aleksandr I. Belokon, Vasilii V. Pushkarev, “From locality to irregularity: introducing local quenches in massive scalar field theory”, JHEP, 2023, no. 5, 188–44
Yuya Kusuki, Zixia Wei, “AdS/BCFT from conformal bootstrap: construction of gravity with branes and particles”, J. High Energ. Phys., 2023:1 (2023)
David Berenstein, David Grabovsky, Ziyi Li, “Aspects of holography in conical AdS3”, J. High Energ. Phys., 2023:4 (2023)
Kastikainen J. Shashi S., “Structure of Holographic Bcft Correlators From Geodesics”, Phys. Rev. D, 105:4 (2022), 046007
D. S. Ageev, “Holographic complexity of local quench at finite temperature”, Phys. Rev. D, 100:12 (2019)
Ch.-B. Chen, W.-C. Gan, F.-W. Shu, B. Xiong, “Quantum information metric of conical defect”, Phys. Rev. D, 98:4 (2018), 046008
D. Ageev, I. Aref'eva, A. Bagrov, M. I. Katsnelson, “Holographic local quench and effective complexity”, J. High Energy Phys., 2018, no. 8, 071
I. Ya. Aref'eva, M. A. Khramtsov, M. D. Tikhanovskaya, “Thermalization after holographic bilocal quench”, J. High Energy Phys., 2017, no. 9, 115
I. Ya. Aref'eva, M. A. Khramtsov, M. D. Tikhanovskaya, “Improved image method for a holographic description of conical defects”, Theoret. and Math. Phys., 189:2 (2016), 1660–1672
E. J. Lindgren, “Black hole formation from pointlike particles in three-dimensional anti–de Sitter space”, Class. Quantum Gravity, 33:14 (2016), 145009, 35 pp.
I. Ya. Aref'eva, M. A. Khramtsov, “AdS/CFT prescription for angle-deficit space and winding geodesics”, J. High Energy Phys., 2016, no. 4, 121, front matter+21 pp.
K. Alkalaev, V. Belavin, “From global to heavy-light: 5-point conformal blocks”, J. High Energy Phys., 2016, no. 3, 184
M. Khramtsov, “Holographic dictionary and defects in the bulk”, 19th International Seminar on High Energy Physics (QUARKS-2016), EPJ Web Conf., 125, ed. V. Andrianov, V. Matveev, V. Rubakov, V. Kim, A. Andrianov, M. Fitkevich, EDP Sciences, 2016, UNSP 05010
M. Tikhanovskaya, “Localized quench in 1+1 conformal field theory”, 19th International Seminar on High Energy Physics (QUARKS-2016), EPJ Web Conf., 125, ed. V. Andrianov, V. Matveev, V. Rubakov, V. Kim, A. Andrianov, M. Fitkevich, EDP Sciences, 2016, UNSP 05026
Citation in format AMSBIB
Contact us: