Work

The thermal representation of conformal ladder integrals

Year: 2025

Type: article

Abstract: A bstract We present the details of a recently discovered representation of conformal four-point ladder integrals as thermal one-point functions in scalar field theories. We show that the conformal ladder integrals can be constructed from the partition function of two harmonic oscillators twisted by an imaginary chemical potential and that for any even dimension D and any loop order L they satisfy a familiar second order differential equation. In our representation, thermal one-point functions of higher-spin operators correspond to linear combinations of multi-loop ladder graphs in D = 2 and D = 4 dimensions. Moreover, we give a simple derivation for the all-loop resummation of conformal ladder integrals for arbitrary D . We conclude by highlighting possible connections between our work and recent developments in the thermal bootstrap, multiloop calculations, integrability, AdS/CFT and string theory.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep10(2025)112

Authors: Manthos Karydas, Songyuan Li, Anastasios C. Petkou, Matthieu Vilatte

Institutions: Lawrence Berkeley National Laboratory, Aristotle University of Thessaloniki, University of Mons

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Fonds De La Recherche Scientifique - FNRS

Award: G5089555900