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Noether Charges for Self-interacting Quantum Field Theories in Curved Spacetimes with a Killing-vector
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hollands, Stefan |
| Copyright Year | 2008 |
| Abstract | 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. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/gr-qc/0011069v5.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/gr-qc/0011069v3.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/gr-qc/0011069v4.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Canonical quantization Hospital admission Interaction Noether's theorem Perturbation theory (quantum mechanics) Quantum field theory Sense of identity (observable entity) Ward (environment) |
| Content Type | Text |
| Resource Type | Article |
