Deformations of quantum field theories on spacetimes with Killing vector fields

TL;DR

This paper extends warped convolution deformations of quantum field theories to curved spacetimes with wedge-like regions, analyzing their properties and applying the method to the free Dirac field.

Contribution

It introduces a framework for deforming quantum fields on curved spacetimes with wedge-like regions, generalizing previous Minkowski space results.

Findings

Deformation preserves essential causal properties of wedge regions.

Application to free Dirac field demonstrates the method's viability.

Framework applicable to a class of curved spacetimes with Killing vector fields.

Abstract

The recent construction and analysis of deformations of quantum field theories by warped convolutions is extended to a class of curved spacetimes. These spacetimes carry a family of wedge-like regions which share the essential causal properties of the Poincare transforms of the Rindler wedge in Minkowski space. In the setting of deformed quantum field theories, they play the role of typical localization regions of quantum fields and observables. As a concrete example of such a procedure, the deformation of the free Dirac field is studied.