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Noether Charges for Self-interacting Quantum Field Theories in Curved Spacetimes with a Killing-vector

S. Hollands
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Abstract

We consider self-interacting, perturbative quantum field theory in a curved spacetime background with 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 as a surface integral over the time-component of the 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.

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S. Hollands. 2004-06-23. Noether Charges for Self-interacting Quantum Field Theories in Curved Spacetimes with a Killing-vector. https://doi.org/10.1002/1521-3889(200109)10%3A10%3C859%3A%3Aaid-andp859%3E3.0.co%3B2-9

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