# A Bound on Thermal Relativistic Correlators at Large Spacelike Momenta

### Submission summary

 As Contributors: Suvrat Raju Arxiv Link: https://arxiv.org/abs/1902.07203v1 Date submitted: 2019-06-19 Submitted by: Raju, Suvrat Submitted to: SciPost Physics Domain(s): Theoretical Subject area: High-Energy Physics - Theory

### Abstract

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 below the bound for $d > 2$. We briefly discuss interactions in holographic theories and conclude with a discussion of several open problems.

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission 1902.07203v1 on 19 June 2019