Journal ArticleDOI
Regularization of the stress-energy tensor for vector and scalar particles propagating in a general background metric
TLDR
In this article, the authors study the regularization of the stress energy tensor for massless vector and massless and massive scalar particles propagating in a general background metric, using covariant point-separation techniques.About:
This article is published in Annals of Physics.The article was published on 1977-08-01. It has received 132 citations till now. The article focuses on the topics: Weyl tensor & Tensor field.read more
Citations
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Zeta function regularization of path integrals in curved spacetime
TL;DR: In this article, a generalized zeta function was proposed to regularize quadratic path integrals on a curved background spacetime, which can be expressed as a Mellin transform of the kernel of the heat equation which describes diffusion over the four dimensional spacetime manifold in a fith dimension of parameter time.
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Lectures on Cauchy’s Problem in Linear Partial Differential Equations. By J. Hadamard. Pp. viii+316. 15s.net. 1923. (Per Oxford University Press.)
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The Generalized Schwinger-Dewitt Technique in Gauge Theories and Quantum Gravity
TL;DR: In this article, the covariant diagrammatic technique for the effective action in gauge theories is generalized and converted into a tool for the calculation of any covariant loop graphs in the effective actions.
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Observations on Conformal Anomalies
TL;DR: In this paper, a general formula is derived which relates the numerical coefficients appearing in the anomalous trace of the stress tensor to the possible applications of the Hawking effect, to gravitational instantons, to asymptotic freedom and Weinberg's "asymptotic safety" programme.
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Twenty years of the Weyl anomaly
TL;DR: Weyl rescalings of the metric tensor displayed by classical massless-field systems in interaction with gravity no longer survive in the quantum theory as discussed by the authors, and have found a variety of applications in black-hole physics, cosmology, string theory and statistical mechanics.
References
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Particle Creation by Black Holes
TL;DR: In this article, it is shown that quantum mechanical effects cause black holes to create and emit particles as if they were hot bodies with temperature, which leads to a slow decrease in the mass of the black hole and to its eventual disappearance.
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On gauge invariance and vacuum polarization
TL;DR: In this paper, it was shown that the extraction of gauge invariants from a formally gauge invariant theory is ensured if one employs methods of solution that involve only gauge covariant quantities.
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Higher Transcendental Functions
TL;DR: Higher Transcendental Functions Based on notes left by the late Prof. Harry Bateman, and compiled by the Staff of the Bateman Project as discussed by the authors, are presented in Table 1.