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Nash Bosonization in Path Integral for Quantum Riemannian Geometry
Authors:Luiz C. L. Botelho
Affiliation:(1) Departamento de Matemática Aplicada, Instituto de Matemática, Universidade Federal Fluminense, Rua Mario Santos Braga, 24220-140, Niterói Rio de Janeiro, Brazil
Abstract:We propose an effective quantum theory for Einstein Gravitation theory by making use of the Nash Theorem of Riemann Metrics parametrized by immersions. We show the usefulness of this phenomenological (low energy) path integral bosonization scheme through the evaluation for the Classical Newton potential by means of a Wilson loop path integral evaluation.
Keywords:Quantum gravity  Path integral bosonization  Wilson loops in quantum gravity
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