Thermal correlation functions in CFT and factorization - INSPIRE

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Thermal correlation functions in CFT and factorization

D. Rodriguez-Gomez
(
- Oviedo U. and
- ICTEA, Oviedo
)
,
J.G. Russo
(
- ICREA, Barcelona and
- Barcelona U.
)

May 28, 2021

26 pages

Published in:

JHEP 11 (2021) 049

Published: Nov 8, 2021

e-Print:

2105.13909 [hep-th]

DOI:

10.1007/JHEP11(2021)049

Report number:

ICCUB-21-007

View in:

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Abstract: (Springer)

We study 2-point and 3-point functions in CFT at finite temperature for large dimension operators using holography. The 2-point function leads to a universal formula for the holographic free energy in d dimensions in terms of the c-anomaly coefficient. By including α′ corrections to the black brane background, we reproduce the leading correction at strong coupling. In turn, 3-point functions have a very intricate structure, exhibiting a number of interesting properties. In simple cases, we find an analytic formula. When the dimensions satisfy ∆

_{i}

= ∆

_{j}

+ ∆

_{k}

, the thermal 3-point function satisfies a factorization property. We argue that in d > 2 factorization is a reflection of the semiclassical regime.

Note:

26 pages

AdS-CFT Correspondence
Conformal Field Theory
field theory: conformal
correlation function: thermal
operator: dimension
black brane: background
factorization
holography
reflection
free energy

References(36)

Figures(8)

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