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Communications in Mathematical Physics

, Volume 180, Issue 3, pp 633–652 | Cite as

The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes

  • R. Brunetti
  • K. Fredenhagen
  • M. Köhler
Article

Abstract

Quantum fields propagating on a curved spacetime are investigated in terms of microlocal analysis. We discuss a condition on the wave front set for the correspondingn-point distributions, called “microlocal spectrum condition” (μSC). On Minkowski space, this condition is satisfied as a consequence of the usual spectrum condition. Based on Radzikowski's determination of the wave front set of the two-point function of a free scalar field, satisfying the Hadamard condition in the Kay and Wald sense, we construct in the second part of this paper all Wick polynomials including the energy-momentum tensor for this field as operator valued distributions on the manifold and prove that they satisfy our “microlocal spectrum condition”.

Keywords

Manifold Scalar Field Wave Front Quantum Computing Minkowski Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • R. Brunetti
    • 1
  • K. Fredenhagen
    • 2
  • M. Köhler
    • 2
  1. 1.Dip. di Scienze FisicheUniversità di Napoli “Federico II”NapoliItaly
  2. 2.IL Institut für Theoretische PhysikUniversität HamburgHamburgGermany

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