Locally covariant quantum field theory and the spin-statistics connection

TL;DR

This paper reviews locally covariant quantum field theory in curved spacetime and introduces a new operational approach to the spin-statistics connection, extending its applicability beyond previous limitations.

Contribution

It presents a novel method for deriving a generalized spin-statistics connection in curved spacetimes within the locally covariant framework.

Findings

New operational approach to theories with spin

Generalized spin-statistics connection in curved spacetime

Foundational insights into quantum field theory in curved backgrounds

Abstract

The framework of locally covariant quantum field theory, an axiomatic approach to quantum field theory in curved spacetime, is reviewed. As a specific focus, the connection between spin and statistics is examined in this context. A new approach is given, which allows for a more operational description of theories with spin and for the derivation of a more general version of the spin-statistics connection in curved spacetimes than previously available. This part of the text is based on arXiv:1503.05797 and a forthcoming publication; the emphasis here is on the fundamental ideas and motivation.