A bound on thermal relativistic correlators at large spacelike momenta

Banerjee, Souvik; Papadodimas, Kyriakos; Raju, Suvrat; Samantray, Prasant; Shrivastava, Pushkal

doi:10.21468/SciPostPhys.8.4.064

SciPost Physics

A bound on thermal relativistic correlators at large spacelike momenta

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

SciPost Phys. 8, 064 (2020) · published 20 April 2020

doi: 10.21468/SciPostPhys.8.4.064
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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 {\em below} the bound for $d > 2$. We briefly discuss interactions in holographic theories and conclude with a discussion of several open problems.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.8.4.064
TI  - A bound on thermal relativistic correlators at large spacelike momenta
PY  - 2020/04/20
UR  - https://scipost.org/SciPostPhys.8.4.064
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 8
IS  - 4
SP  - 064
A1  - Banerjee, Souvik
AU  - Papadodimas, Kyriakos
AU  - Raju, Suvrat
AU  - Samantray, Prasant
AU  - Shrivastava, Pushkal
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.8.4.064,
	title={{A bound on thermal relativistic correlators at large spacelike momenta}},
	author={Souvik Banerjee and Kyriakos Papadodimas and Suvrat Raju and Prasant Samantray and Pushkal Shrivastava},
	journal={SciPost Phys.},
	volume={8},
	pages={064},
	year={2020},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.8.4.064},
	url={https://scipost.org/10.21468/SciPostPhys.8.4.064},
}

Cited by 8

Ontology / Topics

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Correlation functions Holography

Authors / Affiliations: mappings to Contributors and Organizations

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¹ Souvik Banerjee,
² Kyriakos Papadodimas,
³ Suvrat Raju,
⁴ Prasant Samantray,
³ Pushkal Shrivastava

Funders for the research work leading to this publication

Department of Science and Technology, Ministry of Science and Technology (through Organization: विज्ञान एवं प्रौद्योगिकी विभाग / Department of Science and Technology [DST])
Knut och Alice Wallenbergs Stiftelse / Knut and Alice Wallenberg Foundation
टाटा मूलभूत अनुसंधान संस्थान / Tata Institute of Fundamental Research [TIFR]