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A Bound on Thermal Relativistic Correlators at Large Spacelike Momenta

by Souvik Banerjee, Kyriakos Papadodimas, Suvrat Raju, Prasant Samantray and Pushkal Shrivastava

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Submission summary

Authors (as registered SciPost users): Souvik Banerjee · Suvrat Raju · Pushkal Shrivastava
Submission information
Preprint Link: scipost_201911_00040v1  (pdf)
Date accepted: 2020-02-17
Date submitted: 2019-11-24 01:00
Submitted by: Raju, Suvrat
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Quantum Physics
Approach: Theoretical


We consider thermal Wightman correlators in a relativistic quantum field theory in the limit where the spatial momenta of the insertions become large while their frequencies stay fixed. We show that, in this limit, the size of these correlators is bounded by $e^{-\beta R}$, where $R$ is the radius of the smallest sphere that contains the polygon formed by the momenta. We show that perturbative quantum field theories can saturate this bound through suitably high-order loop diagrams. We also consider holographic theories in $d$-spacetime dimensions, where we show that the leading two-point function of generalized free-fields saturates the bound in $d = 2$ and is {\em below} the bound for $d > 2$. We briefly discuss interactions in holographic theories and conclude with a discussion of several open problems.

Published as SciPost Phys. 8, 064 (2020)

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