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# On the Stress-Energy Tensor of Quantum Fields in Curved Spacetimes - Comparison of Different Regularization Schemes and Symmetry of the Hadamard/Seeley-DeWitt Coefficients

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### Abstract

We review a few rigorous and partly unpublished results on the regularisation of the stress-energy in quantum field theory on curved spacetimes: 1) the symmetry of the Hadamard/Seeley-DeWitt coefficients in smooth Riemannian and Lorentzian spacetimes 2) the equivalence of the local $$\zeta$$-function and the Hadamard-point-splitting procedure in smooth static spacetimes 3) the equivalence of the DeWitt-Schwinger- and the Hadamard-point-splitting procedure in smooth Riemannian and Lorentzian spacetimes.

### Most cited references26

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### Zeta function regularization of path integrals in curved spacetime

(1977)
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### Radiation damping in a gravitational field

(1960)
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### Effective Lagrangian and energy-momentum tensor in de Sitter space

(1976)
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### Author and article information

###### Journal
23 February 2012
2012-05-24
1202.5107
10.1088/1751-8113/45/37/374019

81T20
J.Phys. A: Math.Theor. 45 374019 (2012)
24 pages, accepted for publication in Journal of Physics A, special issue devoted to S. Dowker's 75th birthday
gr-qc hep-th math-ph math.MP