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The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes
Open accessAbstract
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”.
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Self-citationEnergy conditions in general relativity and quantum field theory
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A general worldline quantum inequality
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Metadata
- Authors
- Brunetti, R., Fredenhagen, K., & Köhler, M.
- Venue
- Communications in Mathematical Physics
- Published
- 1996-10
- Volume
- 180
- Issue
- 3
- Pages
- 633-652
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2003470918
- Cited by
- 258
- References
- 25
- FWCI
- 11.97
- Type
- journal article
- Language
- en
- Open access
- green
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