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TMF, 2016, Volume 188, Number 1, Pages 85–120 (Mi tmf9085)  

This article is cited in 9 scientific papers (total in 9 papers)

$(1+1)$-Correlators and moving massive defects

D. S. Ageeva, I. Ya. Aref'evaa, M. D. Tikhanovskayaba

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b National Engineering Physics Institute "MEPhI", Moscow, Russia

Abstract: We study correlation functions of scalar operators on the boundary of the AdS$_3$ 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.

Keywords: AdS/CFT correspondence, holographic duality, conical defect, thermalization

Funding Agency Grant Number
Russian Foundation for Basic Research 14-01-00707
Instituto Nazionale di Fisica Nucleare
Ministry of Education and Science of the Russian Federation MK-2510.2014.1
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.


DOI: https://doi.org/10.4213/tmf9085

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English version:
Theoretical and Mathematical Physics, 2016, 188:1, 1038–1068

Bibliographic databases:

Document Type: Article
Received: 16.06.2015
Revised: 27.10.2015

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

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    2. 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.  crossref  mathscinet  zmath  isi  scopus
    3. 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.  crossref  mathscinet  isi  scopus
    4. K. Alkalaev, V. Belavin, “From global to heavy-light: 5-point conformal blocks”, J. High Energy Phys., 2016, no. 3, 184  crossref  mathscinet  zmath  isi  scopus
    5. 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  crossref  isi  scopus
    6. 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  crossref  isi  scopus
    7. I. Ya. Aref'eva, M. A. Khramtsov, M. D. Tikhanovskaya, “Thermalization after holographic bilocal quench”, J. High Energy Phys., 2017, no. 9, 115  crossref  mathscinet  zmath  isi  scopus
    8. Ch.-B. Chen, W.-C. Gan, F.-W. Shu, B. Xiong, “Quantum information metric of conical defect”, Phys. Rev. D, 98:4 (2018), 046008  crossref  isi  scopus
    9. D. Ageev, I. Aref'eva, A. Bagrov, M. I. Katsnelson, “Holographic local quench and effective complexity”, J. High Energy Phys., 2018, no. 8, 071  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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