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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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arxiv 1202.5107 v2 pith:OCAR5HAX submitted 2012-02-23 gr-qc hep-thmath-phmath.MP

classification gr-qchep-thmath-phmath.MP
keywords spacetimessmoothcoefficientscurvedequivalencehadamardhadamard-point-splittinglorentzian
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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We review a few rigorous and partly unpublished results on the regularisation of the stress-energy in quantum field theory on curved spacetimes: 1) the symmetry of the Hadamard/Seeley-DeWitt coefficients in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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Cited by 2 Pith papers

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  1. De Sitter quantum gravity within the covariant Lorentzian approach to asymptotic safety

    hep-th 2025-02 conditional novelty 7.0 of 10

    In the Einstein-Hilbert truncation on de Sitter, the Lorentzian FRG flow exhibits a non-Gaussian UV fixed point for ζ=1/2 and ζ=1 gauges over restricted parameter ranges.

  2. Baryon asymmetry from higher-order matter contributions in gravity

    gr-qc 2025-04 conditional novelty 6.0 of 10

    A T^2-dependent coupling between the derivative of T_mu nu T^mu nu and the baryon current can generate the observed baryon asymmetry in GR and f(R,T^2) gravity, at the cost of fitted parameters.

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