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Charlotte Sleight¹, Massimo Taronna²

¹Dipartimento di Fisica "Ettore Pancini," <a href="https://ror.org/05290cv24">Università degli Studi di Napoli Federico II</a>, Monte Sant'Angelo, Via Cintia, 80126 Napoli, Italy and <a href="https://ror.org/015kcdd40">INFN, Sezione di Napoli</a>, Monte Sant'Angelo, Via Cintia, 80126 Napoli, Italy.

Physical Review Letters

|January 3, 2025

Summary

This summary is machine-generated.

Researchers propose a new method for defining holographic correlators using Mellin transforms of bulk time-ordered correlators. This approach, analogous to AdS/CFT, focuses on off-shell correlation functions for Minkowski space celestial holography.

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Area of Science:

Theoretical Physics
High Energy Physics
Quantum Gravity

Background:

Holographic correlators on the celestial sphere are typically defined via integral transforms of flat-space scattering amplitudes.
Existing methods often rely on on-shell S-matrix elements, limiting applicability to certain regimes.

Purpose of the Study:

To introduce a novel prescription for defining celestial holographic correlators in Minkowski space.
To establish an analogy between this new prescription and established methods in Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence.
To explore the utility of this definition for investigating nonperturbative properties of dual conformal field theories.

Main Methods:

The proposed method utilizes the Mellin transform of bulk time-ordered correlators with respect to the radial direction in hyperbolic slicing.
Extrapolation to the celestial sphere is performed along hyperbolic directions.
The approach centers on off-shell correlation functions, differing from previous on-shell focused methods.

Main Results:

Celestial correlators defined via the new prescription are shown to be equivalent to Witten diagrams in Euclidean anti-de Sitter space within perturbation theory.
The new definition provides a framework for analyzing celestial correlators through bulk correlation functions.

Conclusions:

The proposed Mellin transform-based prescription offers a new perspective on celestial holographic correlators in Minkowski space.
This approach facilitates connections to AdS/CFT and opens avenues for exploring nonperturbative quantum field theory phenomena.