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      We review a few rigorous and partly unpublished results on the regularisation of the stress-energy in quantum field theory on curved spacetimes: 1) the symmetry of the Hadamard/Seeley-DeWitt coefficients in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

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        Radiation damping in a gravitational field

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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/

            Custom metadata
            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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