The Bisognano-Wichmann property for asymptotically complete massless QFT

TL;DR

This paper proves the Bisognano-Wichmann property for a class of massless quantum field theories, including photons, using modularity conditions and scattering theory, advancing the understanding of their algebraic structure.

Contribution

It establishes the Bisognano-Wichmann property for asymptotically complete massless QFTs with specific particle types, extending previous results to new classes of theories.

Findings

Proves the Bisognano-Wichmann property for massless particles.

Includes photons and scalar particles in the analysis.

Uses modularity and scattering theory to achieve the result.

Abstract

We prove the Bisognano-Wichmann property for asymptotically complete Haag-Kastler theories of massless particles. These particles should either be scalar or appear as a direct sum of two opposite integer helicities, thus, e.g., photons are covered. The argument relies on a modularity condition formulated recently by one of us (VM) and on the Buchholz' scattering theory of massless particles.