Published October 2001 | Version v1
Journal article

Noether charges for self-interacting quantum field theories in curved spacetimes with a Killing-vector

Creators

  • 1. Enrico Fermi Inst., Univ. of Chicago, Chicago, IL (United States)

Description

We consider a self-interacting, perturbative Klein-Gordon quantum field in a curved spacetime admitting a Killing vector field. We show that the action of this spacetime symmetry on interacting field operators can be implemented by a Noether charge which arises, in a certain sense, as a surface integral over the time-component of some interacting Noether current-density associated with the Killing field. The proof of this involves the demonstration of a corresponding set of Ward identities. Our work is based on the perturbative construction by Brunetti and Fredenhagen (Commun. Math. Phys. 208 (2000) 623-661) of self-interacting quantum field theories in general globally hyperbolic spacetimes. (orig.)

Additional details

Publishing Information

Journal Title
Annalen der Physik (Leipzig)
Journal Volume
10
Journal Issue
10
Journal Page Range
p. 859-883
ISSN
0003-3804