A Bound on Thermal Relativistic Correlators at Large Spacelike Momenta
arXiv:1902.07203 · doi:10.21468/SciPostPhys.8.4.064
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 , where 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 -spacetime dimensions, where we show that the leading two-point function of generalized free-fields saturates the bound in and is below the bound for . We briefly discuss interactions in holographic theories and conclude with a discussion of several open problems.
arXiv comment52 pages; 11 figures
References in corpus (31)
- Gauge Theory Correlators from Non-Critical String Theory
- The Large N Limit of Superconformal Field Theories and Supergravity
- A bound on chaos
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Holographic representation of local bulk operators
- Schwinger-Keldysh Propagators from AdS/CFT Correspondence
- Thermalization of Strongly Coupled Field Theories
- An Infalling Observer in AdS/CFT
- Real-time gauge/gravity duality: Prescription, Renormalization and Examples
- Holographic Thermalization
- Real-time gauge/gravity duality
- State-Dependent Bulk-Boundary Maps and Black Hole Complementarity
- Inside the Horizon with AdS/CFT
- AdS/CFT 4-point functions: How to succeed at z-integrals without really trying
- Advances in perturbative thermal field theory
- The Black Hole Interior in AdS/CFT and the Information Paradox
- Comments on the Necessity and Implications of State-Dependence in the Black Hole Interior
- Local Operators in the Eternal Black Hole
- Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography
- Null Geodesics, Local CFT Operators and AdS/CFT for Subregions
- Towards a Relativistic KMS Condition
- A Critique of the Fuzzball Program
- Real-time finite-temperature correlators from AdS/CFT
- Thermal out-of-time-order correlators, KMS relations, and spectral functions
- Wick's Theorem at Finite Temperature
- Scanning Tunneling Macroscopy, Black Holes, and AdS/CFT Bulk Locality
- Spectral Representation of Thermal OTO Correlators
- Black holes from large N singlet models
- A new approach for the vertical part of the contour in thermal field theories
- Probing Out-of-Time-Order Correlators
- Inheritance principle and Non-renormalization theorems at finite temperature