Examinando por Autor "Díaz, D.E."

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  • Miniatura
    Ítem
    Logarithmic correction to BH entropy as Noether charge
    (Springer Verlag, 2010) Aros, R.; Díaz, D.E.; Montecinos, A.
    We consider the role of the type-A trace anomaly in static black hole solutions to semiclassical Einstein equations in four dimensions. Via Wald’s Noether charge formalism, we compute the contribution to the entropy coming from the anomaly induced effective action and unveil a logarithmic correction to the Bekenstein-Hawking area law. The corrected entropy is given by a seemingly universal formula Sbh = AH 4 − a · χH · φH involving the coefficient a of the type-A trace anomaly, the Euler characteristic χH of the horizon and the value at the horizon φH of the solution to the uniformization problem for Q-curvature. Two instances are examined in detail: Schwarzschild and a four-dimensional massless topological black hole. We also find agreement with the logarithmic correction due to one-loop contribution of conformal fields in the Schwarzschild background.
  • Miniatura
    Ítem
    A note on a gauge–gravity relation and functional determinants
    (Institute of Physics, 2010) Aros, R.; Díaz, D.E.; Montecinos, A.
    Abstract We present a refinement of a recently found gauge–gravity relation between one-loop effective actions: on the gauge side, for a massive charged scalar in 2d dimensions in a constant maximally symmetric electromagnetic field; on the gravity side, for a massive spinor in d-dimensional (Euclidean) anti-de Sitter space. The inclusion of the dimensionally regularized volume of AdS leads to a complete mapping within dimensional regularization. In even-dimensional AdS, we acquire a small correction to the original proposal, whereas in dimensional AdS, the mapping is totally new and subtle, with the ‘holographic trace anomaly’ playing a crucial role.