Published October 2001
| Version v1
Journal article
Noether charges for self-interacting quantum field theories in curved spacetimes with a Killing-vector
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
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 33013662
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- CONSERVATION LAWS; FIELD OPERATORS; LAGRANGIAN FIELD THEORY; PERTURBATION THEORY; RIEMANN SPACE; SPACE-TIME; SYMMETRY
- Descriptors DEC
- FIELD THEORIES; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SPACE