Dispersion relations and exact bounds on CFT correlators

24Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.

This article is free to access.

Abstract

We derive new crossing-symmetric dispersion formulae for CFT correlators restricted to the line. The formulae are equivalent to the sum rules implied by what we call master functionals, which are analytic extremal functionals which act on the crossing equation. The dispersion relations provide an equivalent formulation of the constraints of the Polyakov bootstrap and hence of crossing symmetry on the line. The built in positivity properties imply simple and exact lower and upper bounds on the values of general CFT correlators on the Euclidean section, which are saturated by generalized free fields. Besides bounds on correlators, we apply this technology to determine new universal constraints on the Regge limit of arbitrary CFTs and obtain very simple and accurate representations of the 3d Ising spin correlator.

Cite

CITATION STYLE

APA

Paulos, M. F. (2021). Dispersion relations and exact bounds on CFT correlators. Journal of High Energy Physics, 2021(8). https://doi.org/10.1007/JHEP08(2021)166

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free