Dodelson, Matthew and Ooguri, Hirosi (2021) Singularities of thermal correlators at strong coupling. Physical Review D, 103 (6). Art. No. 066018. ISSN 2470-0010. doi:10.1103/physrevd.103.066018. https://resolver.caltech.edu/CaltechAUTHORS:20210421-153703789
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Abstract
We analyze the singularities of the two-point function in a conformal field theory at finite temperature. In a free theory, the only singularity is along the boundary light cone. In the holographic limit, a new class of singularities emerges since two boundary points can be connected by a nontrivial null geodesic in the bulk, encircling the photon sphere of the black hole. We show that these new singularities are resolved by tidal effects due to the black hole curvature, by solving the string world sheet theory in the Penrose limit. Singularities in the asymptotically flat black hole geometry are also discussed.
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| Additional Information: | © 2021 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. Received 10 December 2020; accepted 24 February 2021; published 24 March 2021. We thank P. Di Vecchia, V. Hubeny, T. Jacobson, E. Martinec, D. Meltzer, M. Mirbabayi, M. Rangamani, G. Sarosi, S. Shenker, D. Stanford, E. Silverstein, and N. Warner for discussion. The work of H. O. is supported in part by U.S. Department of Energy Grant No. DE-SC0011632, by the World Premier International Research Center Initiative, MEXT, Japan, by JSPS Grant-in-Aid for Scientific Research 17K05407 and 20K03965, and by JSPS Grant-in-Aid for Scientific Research on Innovative Areas 15H05895. H. O. thanks the Aspen Center for Theoretical Physics, which is supported by the National Science Foundation Grant No. PHY-1607611, where part of this work was done. The work of M. D. is supported by JSPS KAKENHI Grant No. 20K14465. | ||||||||||||||||||
| Group: | Walter Burke Institute for Theoretical Physics | ||||||||||||||||||
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| Issue or Number: | 6 | ||||||||||||||||||
| DOI: | 10.1103/physrevd.103.066018 | ||||||||||||||||||
| Record Number: | CaltechAUTHORS:20210421-153703789 | ||||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20210421-153703789 | ||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||
| ID Code: | 108790 | ||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||||||
| Deposited On: | 22 Apr 2021 18:41 | ||||||||||||||||||
| Last Modified: | 22 Apr 2021 18:41 |
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