Deformations of quantum field theories on spacetimes with Killing vector fields

Details Deformations of quantum field theories on spacetimes with Killing vector fields Deformations of quantum field theories on spacetimes with Killing vector fields

2010-06-17

arxiv.org/abs/1006.3548v1

Commun.Math.Phys.305:99-130,2011

Physics

Mathematical Physics

35 pages, 3 figures

Scientific paper

10.1007/s00220-011-1210-4

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.

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