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

@article{Klauder2020UsingAQ,
  title={Using Affine Quantization to Analyze Non-Renormalizable Scalar Fields and the Quantization of Einstein’s Gravity},
  author={John Klauder},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2020}
}
  • J. Klauder
  • Published 16 June 2020
  • Physics
  • arXiv: General Relativity and Quantum Cosmology
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… 
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The favored classical variables that are promoted to quantum operators are divided into three sets that feature constant positive curvatures, constant zero curvatures, as well as constant negative
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Monte Carlo Evaluation of the Continuum Limit of the Two-Point Function of the Euclidean Free Real Scalar Field Subject to Affine Quantization
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A Simple Factor in Canonical Quantization Yields Affine Quantization Even for Quantum Gravity
  • J. Klauder
  • Physics
    Journal of High Energy Physics, Gravitation and Cosmology
  • 2021
Canonical quantization (CQ) is built around [Q,P ] = ih̄1 , while affine quantization (AQ) is built around [Q,D] = ih̄ Q, where D ≡ (PQ + QP )/2. The basic CQ operators must fit −∞ < P,Q < ∞, while
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