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Kuchar, K.V. (1993) Canonical Quantum Gravity. In: Gleiser, R.J., Kozamah, C.N. and Moreschi, O.M., Eds., General Relativity and Gravitation 1992, Institute of Physics Publishing, Bristol, 119-150.

has been cited by the following article:

• TITLE: Using Affine Quantization to Analyze Non-Renormalizable Scalar Fields and the Quantization of Einstein’s Gravity

  AUTHORS: John R. Klauder

  KEYWORDS: Favored Variables, Affine Quantization, Non-Renormalizable Scalars, General Relativity

  JOURNAL NAME: Journal of High Energy Physics, Gravitation and Cosmology, Vol.6 No.4, October 28, 2020

  ABSTRACT: Affine quantization is a parallel procedure to canonical quantization, which is ideally suited to deal with non-renormalizable scalar models as well as quantum gravity. The basic applications of this approach lead to the common goals of any quantization, such as Schroedinger’s representation and Schroedinger’s equation. Careful attention is paid toward seeking favored classical variables, which are those that should be promoted to the principal quantum operators. This effort leads toward classical variables that have a constant positive, zero, or negative curvature, which typically characterize such favored variables. This focus leans heavily toward affine variables with a constant negative curvature, which leads to a surprisingly accommodating analysis of non-renormalizable scalar models as well as Einstein’s general relativity.