Spectral Geometry and One-loop Divergences on Manifolds with Conical Singularities
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The geometrical form of the one-loop divergences induced by conical singularities of background manifolds is studied in this article, where surface corrections to standard second and third heat coefficients are obtained explicitly in terms of angle α of a cone Cα and components of the Riemann tensor.About:
This article is published in Physics Letters B.The article was published on 1994-08-11 and is currently open access. It has received 86 citations till now. The article focuses on the topics: Surface (mathematics) & Heat kernel.read more
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Heat kernel expansion: user's manual
TL;DR: The heat kernel expansion is a very convenient tool for studying one-loop divergences, anomalies and various asymptotics of the effective action as discussed by the authors, and the heat kernel coefficients are given in terms of several geometric invariants.
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Entanglement entropy in free quantum field theory
Horacio Casini,Marina Huerta +1 more
TL;DR: In this paper, the authors introduce the general methods to calculate the entanglement entropy for free fields, within the Euclidean and the real-time formalisms, and describe the particular examples which have been worked out explicitly in two, three and more dimensions.
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Entanglement Entropy of Black Holes
TL;DR: The focus in the review is on the systematic use of the conical singularity method and the puzzling behavior of the entanglement entropy due to fields, which non-minimally couple to gravity, which is illustrated on two- and four-dimensional examples.
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Entanglement entropy, conformal invariance and extrinsic geometry
TL;DR: In this article, the dependence of entanglement entropy on the extrinsic geometry of the 2D surface Σ that separates two subsystems of quantum strongly coupled N=4SU(N) superconformal gauge theory was investigated.
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Relative entropy and the Bekenstein bound
TL;DR: In this article, the relative entropy between the vacuum and another state, both reduced to a local region, is defined as a well-defined statement of the Bekenstein universal bound in flat space.
References
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Book
Quantum Fields in Curved Space
N. D. Birrell,Paul Davies +1 more
TL;DR: A comprehensive review of the subject of gravitational effects in quantum field theory can be found in this paper, where special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe.
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Cosmic Strings and Domain Walls
TL;DR: The formation, physical properties and the cosmological evolution of various defects are reviewed, including the string scenario of galaxy formation and possible observational effects of strings.
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Black hole entropy in canonical quantum gravity and superstring theory
Leonard Susskind,John Uglum +1 more
TL;DR: The entropy per unit area is shown to be finite to all orders in superstring perturbation theory, and the importance of these conclusions to the resolution of the problem of black hole information loss is reiterated.
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Spectral geometry of singular Riemannian spaces
TL;DR: In this article, the authors consider the trace du noyau de la chaleur and the application of la methode de l'equation de la Chaleur to theoreme d'indice for the caracteristique d'Euler et des complexes signatures.