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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          We review a few rigorous and partly unpublished results on the regularisation of the stress-energy in quantum field theory on curved spacetimes: 1) the symmetry of the Hadamard/Seeley-DeWitt coefficients in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.

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          Most cited references 26

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          Radiation damping in a gravitational field

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            Zeta function regularization of path integrals in curved spacetime

             S. Hawking (1977)
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              Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate killing horizon

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                Author and article information

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

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                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

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