# Quantum Field Theory in Curved Spacetime

@inproceedings{Kay1988QuantumFT, title={Quantum Field Theory in Curved Spacetime}, author={Bernard S. Kay}, year={1988} }

I begin with an informal introduction to the subject of Quantum Field Theory in Curved Spacetime, indicating its status as an approximate theory, its basic physical effect, and its range of validity. I emphasize the importance of the Hawking effect, and of the fact that — while an approximation — the subject appears to admit a consistent mathematical and conceptual framework in its own right. After some brief historical and motivational remarks, I then outline such a suitable mathematical…

## 37 Citations

On the Backreaction of Scalar and Spinor Quantum Fields in Curved Spacetimes - From the Basic Foundations to Cosmological Applications

- Physics
- 2010

First, the present work is concerned with generalising constructions and results in quantum field theory on curved spacetimes from the well-known case of the Klein-Gordon field to Dirac fields. To…

Application of linear hyperbolic PDE to linear quantum fields in curved spacetimes : especially black holes, time machines and a new semi-local vacuum concept

- Physics
- 2000

Several situations of physical importance may be modelled by linear quantum fields propagating in fixed spacetime-dependent classical background fields. For example, the quantum Dirac field in a…

Quantum Fields in Curved Spacetime: Non Global Hyperbolicity and Locality

- Physics
- 1996

We briefly review the current status of the algebraic approach to quantum field theory on globally hyperbolic spacetimes, both axiomatic -- for general field theories, and constructive -- for a…

A local-to-global singularity theorem for quantum field theory on curved space-time

- Mathematics
- 1996

We prove that if a reference two-point distribution of positive type on a time orientable curved space-time (CST) satisfies a certain condition on its wave front set (the “classPM,g condition”) and…

Modified Dispersion Relations and trans-Planckian Physics

- Physics
- 2007

We consider modified dispersion relations in quantum field theory on curved space-time. Such relations, despite breaking the local Lorentz invariance at high energy, are considered in several…

Micro-local approach to the Hadamard condition in quantum field theory on curved space-time

- Mathematics
- 1996

For the two-point distribution of a quasi-free Klein-Gordon neutral scalar quantum field on an arbitrary four dimensional globally hyperbolic curved space-time we prove the equivalence of (1) the…

De Sitter Invariance and a Possible Mechanism of Gravity

- Physics
- 2008

It is believed that gravity will be explained in the framework of the existing quantum theory when one succeeds in eliminating divergencies at large momenta or small distances (although the…

Reduced Spin-Statistics Theorem

- Physics
- 2002

As argued in our previous papers, it would be more natural to modify the standard approach to quantum theory by requiring that i) one unitary irreducible representation (UIR) of the symmetry algebra…

Generally covariant dynamical reduction models and the Hadamard condition

- Physics
- 2018

We recall and review earlier work on dynamical reduction models, both non-relativistic and relativistic, and discuss how they may relate to suggestions which have been made (including the…

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