Quantum Field Theory in Curved Spacetime

  title={Quantum Field Theory in Curved Spacetime},
  author={Bernard S. Kay},
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… 
On the Backreaction of Scalar and Spinor Quantum Fields in Curved Spacetimes - From the Basic Foundations to Cosmological Applications
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
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
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
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
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
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
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
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
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


Generally covariant quantum field theory and scaling limits
The formulation of a generally covariant quantum field theory is described. It demands the elimination of global features and a characterization of the theory in terms of the allowed germs of
Quantum Field Theory in Gravitational Background
This is a short survey of results contained in [1]. We study the influence of gravitation on quantum field theory, insofar, that gravity is considered as background field, changing Minkowski space
The double-wedge algebra for quantum fields on Schwarzschild and Minkowski spacetimes
We consider the Klein-Gordon equation (m≧0) on the double Schwarzschild wedge of the Kruskal spacetime, and construct the Hartle-Hawking stateωH as a thermal state relative to the Boulware
Linear spin-zero quantum fields in external gravitational and scalar fields
We give mathematically rigorous results on the quantization of the covariant Klein Gordon field with an external stationary scalar interaction in a stationary curved space-time.We show how, following
Singularity structure of the two-point function in quantum field theory in curved spacetime
In the point-splitting prescription for renormalizing the stress-energy tensor of a scalar field in curved spacetime, it is assumed that the anticommutator expectation valueG(x,
Quantum Fields in Curved Space
This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole
Casimir effect in quantum field theory
A new conceptual foundation for renormalizing T/sub munu/ on locally flat space-times: to obtain the so-called Casimir effect: is presented. The Casimir ground state is viewed locally as a
On quantum field theory in gravitational background
We discuss quantum fields on Riemannian space-time. A principle of local definiteness is introduced which is needed beyond equations of motion and commutation relations to fix the theory uniquely. It