Conformal perturbation theory, dimensional regularization, and AdS/CFT correspondence

Berenstein, David; Miller, Alexandra

doi:10.1103/PhysRevD.90.086011

Title: Conformal perturbation theory, dimensional regularization, and AdS/CFT correspondence

Journal Article · Fri Oct 31 00:00:00 EDT 2014 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.90.086011· OSTI ID:1602031

Berenstein, David ^[1]; Miller, Alexandra ^[1]

Univ. of California, Santa Barbara, CA (United States). Dept. of Physics

We study relevant deformations of conformal field theory on a cylinder using conformal perturbation theory, and in particular the one-point function of the deformation operator and the energy in a system after a quench. We do the one-point function calculation in both AdS and the conformal field theory and we show that the results match. Our calculations are done with arbitrary spacetime dimension, as well as arbitrary scaling dimension of the relevant operator. The only singularities that appear in the end calculation can be related to logarithmic singularities in dimensional regularization. We also study time-dependent setups in the field theory and we show how the response of the system can be calculated in a Hamiltonian-based approach. Here, we use this procedure to explain certain short time universal results that have been found previously.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Univ. of California, Santa Barbara, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011702; FG02-91ER40618

OSTI ID:: 1602031

Alternate ID(s):: OSTI ID: 1179933

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 90, Issue 8; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 30 works

Citation information provided by
Web of Science

References (22)

The large $N$ limit of superconformal field theories and supergravity Maldacena, Juan Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2 https://doi.org/10.4310/ATMP.1998.v2.n2.a1	journal	January 1998
Holographic renormalization Bianchi, Massimo; Freedman, Daniel Z.; Skenderis, Kostas Nuclear Physics B, Vol. 631, Issue 1-2 https://doi.org/10.1016/S0550-3213(02)00179-7	journal	June 2002
Anti de Sitter space and holography Witten, Edward Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2 https://doi.org/10.4310/ATMP.1998.v2.n2.a2	journal	January 1998
Correlation functions in the CFTd/AdSd+1 correspondence Freedman, Daniel Z.; Mathur, Samir D.; Matusis, Alec Nuclear Physics B, Vol. 546, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00053-X	journal	April 1999
Thermal quenches in $ \mathcal{N} $ = 2* plasmas Buchel, Alex; Lehner, Luis; Myers, Robert C. Journal of High Energy Physics, Vol. 2012, Issue 8 https://doi.org/10.1007/JHEP08(2012)049	journal	August 2012
Universal Scaling in Fast Quantum Quenches in Conformal Field Theories Das, Sumit R.; Galante, Damián A.; Myers, Robert C. Physical Review Letters, Vol. 112, Issue 17 https://doi.org/10.1103/PhysRevLett.112.171601	journal	April 2014
Operator product expansion for Wilson loops and surfaces in the large N limit Berenstein, David; Corrado, Richard; Fischler, Willy Physical Review D, Vol. 59, Issue 10 https://doi.org/10.1103/PhysRevD.59.105023	journal	April 1999
Ads/CFT correspondence and symmetry breaking Klebanov, Igor R.; Witten, Edward Nuclear Physics B, Vol. 556, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00387-9	journal	September 1999
Universality of Abrupt Holographic Quenches Buchel, Alex; Myers, Robert C.; van Niekerk, Anton Physical Review Letters, Vol. 111, Issue 20 https://doi.org/10.1103/PhysRevLett.111.201602	journal	November 2013
Gauge theory correlators from non-critical string theory Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M. Physics Letters B, Vol. 428, Issue 1-2 https://doi.org/10.1016/S0370-2693(98)00377-3	journal	May 1998
States and boundary terms: subtleties of lorentzian AdS/CFT Marolf, Donald Journal of High Energy Physics, Vol. 2005, Issue 05 https://doi.org/10.1088/1126-6708/2005/05/042	journal	May 2005
Quantum quenches of holographic plasmas Buchel, Alex; Lehner, Luis; Myers, Robert C. Journal of High Energy Physics, Vol. 2013, Issue 5 https://doi.org/10.1007/JHEP05(2013)067	journal	May 2013
The large N limit of superconformal field theories and supergravity Maldacena, Juan The second meeting on trends in theoretical physics, AIP Conference Proceedings https://doi.org/10.1063/1.59653	conference	January 1999
Universality of Abrupt Holographic Quenches Buchel, Alex; Myers, Robert C.; van Niekerk, Anton arXiv https://doi.org/10.48550/arxiv.1307.4740	text	January 2013
Universal scaling in fast quantum quenches in conformal field theories Das, Sumit R.; Galante, Damian A.; Myers, Robert C. arXiv https://doi.org/10.48550/arxiv.1401.0560	text	January 2014
Holographic Renormalization Bianchi, Massimo; Freedman, Daniel Z.; Skenderis, Kostas arXiv https://doi.org/10.48550/arxiv.hep-th/0112119	text	January 2001
States and Boundary Terms: Subtleties of Lorentzian AdS/CFT Marolf, Donald arXiv https://doi.org/10.48550/arxiv.hep-th/0412032	text	January 2004
The Large N Limit of Superconformal Field Theories and Supergravity Maldacena, Juan M. arXiv https://doi.org/10.48550/arxiv.hep-th/9711200	text	January 1997
Gauge Theory Correlators from Non-Critical String Theory Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M. arXiv https://doi.org/10.48550/arxiv.hep-th/9802109	text	January 1998
Anti De Sitter Space And Holography Witten, Edward arXiv https://doi.org/10.48550/arxiv.hep-th/9802150	text	January 1998
Correlation functions in the CFT(d)/AdS(d+1) correpondence Freedman, Daniel Z.; Mathur, Samir D.; Matusis, Alec arXiv https://doi.org/10.48550/arxiv.hep-th/9804058	text	January 1998
AdS/CFT Correspondence and Symmetry Breaking Klebanov, Igor R.; Witten, Edward arXiv https://doi.org/10.48550/arxiv.hep-th/9905104	text	January 1999

Cited By (4)

Conformal perturbation theory for twisted fields Keller, Christoph A.; Zadeh, Ida G. Journal of Physics A: Mathematical and Theoretical, Vol. 53, Issue 9 https://doi.org/10.1088/1751-8121/ab6b91	journal	February 2020
Quantum field theory, Feynman-, Wheeler propagators, dimensional regularization in configuration space and convolution of Lorentz Invariant Tempered Distributions Plastino, A.; Rocca, M. C. Journal of Physics Communications, Vol. 2, Issue 11 https://doi.org/10.1088/2399-6528/aaf186	journal	November 2018
Quenches on thermofield double states and time reversal symmetry Berenstein, David arXiv https://doi.org/10.48550/arxiv.1906.08292	text	January 2019
Conformal Perturbation Theory for Twisted Fields Keller, Christoph A.; Zadeh, Ida G. arXiv https://doi.org/10.48550/arxiv.1907.08207	text	January 2019

Similar Records

Constraints on a fine-grained AdS/CFT correspondence

Journal Article · Wed Sep 14 00:00:00 EDT 2016 · Physical Review D · OSTI ID:1602031

Gary, Mirah; Giddings, Steven B.

Massless conformal fields, AdS(+1)/CFT higher spin algebras and their deformations

Journal Article · Tue Mar 01 00:00:00 EST 2016 · Nuclear Physics. B · OSTI ID:1602031

Fernando, Sudarshan; Günaydin, Murat

Higher dimensional Kerr-AdS black holes and the AdS/CFT correspondence

Journal Article · Fri Jun 15 00:00:00 EDT 2001 · Physical Review D · OSTI ID:1602031

Awad, Adel M; Johnson, Clifford V

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Title: Conformal perturbation theory, dimensional regularization, and AdS/CFT correspondence

Citation Formats

References (22)

Cited By (4)

Similar Records

Related Subjects