### Resumen

Quantum effects due to conformal matter in a black hole background result in universal logarithmic corrections to black-hole entropy. The universality resides in the connection of the log term coefficient with those of type-A and type-B Weyl anomalies, regularization-scheme independent quantities. We presently study the case of extremal black holes within Wald's Noether charge formalism. In the conformal class of flat metrics, we are again able to unveil the log term in the entropy from the horizon value of the solution to the Q-curvature uniformization problem. Beyond conformally flat backgrounds, type-B Weyl anomaly becomes an obstruction to considering flat space as the fiducial metric and the search for a metric of constant Q-curvature remains open. Notwithstanding, by a uniform scaling argument we show that the results based on heat kernel and Euclidean computations (namely entropy function and conical defect) can also be derived as Wald entropy, that is, as Noether charge of the integrated anomaly or conformal index. We finally comment on the relation with entanglement entropy.

Idioma original | English |
---|---|

Número de artículo | 104024 |

Publicación | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volumen | 88 |

N.º | 10 |

DOI | |

Estado | Published - 21 nov 2013 |

### Huella dactilar

### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Citar esto

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*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 88, n.º 10, 104024. https://doi.org/10.1103/PhysRevD.88.104024

**Wald entropy of black holes : Logarithmic corrections and trace anomaly.** / Aros, Rodrigo; Díaz, Danilo E.; Montecinos, Alejandra.

Resultado de la investigación: Article

TY - JOUR

T1 - Wald entropy of black holes

T2 - Logarithmic corrections and trace anomaly

AU - Aros, Rodrigo

AU - Díaz, Danilo E.

AU - Montecinos, Alejandra

PY - 2013/11/21

Y1 - 2013/11/21

N2 - Quantum effects due to conformal matter in a black hole background result in universal logarithmic corrections to black-hole entropy. The universality resides in the connection of the log term coefficient with those of type-A and type-B Weyl anomalies, regularization-scheme independent quantities. We presently study the case of extremal black holes within Wald's Noether charge formalism. In the conformal class of flat metrics, we are again able to unveil the log term in the entropy from the horizon value of the solution to the Q-curvature uniformization problem. Beyond conformally flat backgrounds, type-B Weyl anomaly becomes an obstruction to considering flat space as the fiducial metric and the search for a metric of constant Q-curvature remains open. Notwithstanding, by a uniform scaling argument we show that the results based on heat kernel and Euclidean computations (namely entropy function and conical defect) can also be derived as Wald entropy, that is, as Noether charge of the integrated anomaly or conformal index. We finally comment on the relation with entanglement entropy.

AB - Quantum effects due to conformal matter in a black hole background result in universal logarithmic corrections to black-hole entropy. The universality resides in the connection of the log term coefficient with those of type-A and type-B Weyl anomalies, regularization-scheme independent quantities. We presently study the case of extremal black holes within Wald's Noether charge formalism. In the conformal class of flat metrics, we are again able to unveil the log term in the entropy from the horizon value of the solution to the Q-curvature uniformization problem. Beyond conformally flat backgrounds, type-B Weyl anomaly becomes an obstruction to considering flat space as the fiducial metric and the search for a metric of constant Q-curvature remains open. Notwithstanding, by a uniform scaling argument we show that the results based on heat kernel and Euclidean computations (namely entropy function and conical defect) can also be derived as Wald entropy, that is, as Noether charge of the integrated anomaly or conformal index. We finally comment on the relation with entanglement entropy.

UR - http://www.scopus.com/inward/record.url?scp=84889647994&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.88.104024

DO - 10.1103/PhysRevD.88.104024

M3 - Article

AN - SCOPUS:84889647994

VL - 88

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 10

M1 - 104024

ER -