# Local Wick Polynomials and Time Ordered Products¶of Quantum Fields in Curved Spacetime

@article{Hollands2001LocalWP, title={Local Wick Polynomials and Time Ordered Products¶of Quantum Fields in Curved Spacetime}, author={S. Hollands and R. Wald}, journal={Communications in Mathematical Physics}, year={2001}, volume={223}, pages={289-326} }

Abstract: In order to have well defined rules for the perturbative calculation of quantities of interest in an interacting quantum field theory in curved spacetime, it is necessary to construct Wick polynomials and their time ordered products for the noninteracting theory. A construction of these quantities has recently been given by Brunetti, Fredenhagen, and Köhler, and by Brunetti and Fredenhagen, but they did not impose any “locality” or “covariance” condition in their constructions. As a… Expand

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#### References

SHOWING 1-10 OF 28 REFERENCES

Microlocal Analysis and¶Interacting Quantum Field Theories:¶Renormalization on Physical Backgrounds

- Physics, Mathematics
- 2000

Proof of the Symmetry of the Off-Diagonal¶Hadamard/Seeley–deWitt's Coefficients in¶C∞ Lorentzian Manifolds by a “Local Wick Rotation”

- Mathematics, Physics
- 1999

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

- Mathematics, Physics
- 1996

Algebraic Quantum Field Theory, Perturbation Theory, and the Loop Expansion

- Mathematics, Physics
- 2001