Covariance of the extended holonomy

DOI10.1088/1361-6382/abc667zbMath1479.83085arXiv1907.13213OpenAlexW3097737858MaRDI QIDQ5162486

Jorge Pullin, Aureliano Skirzewski, Rodolfo Gambini

Publication date: 2 November 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.13213

zbMATH Keywords

holonomyloop quantum gravityextended loops

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Issues of holonomy in differential geometry (53C29) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Cites Work

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• Generalized holonomies
• The extended loop group: An infinite dimensional manifold associated with the loop space
• Extended loops: A new arena for nonperturbative quantum gravity
• Knot polynomial states of quantum gravity in terms of loops and extended loops: Some remarks
• Non-covariance of the generalized holonomies: Examples
• Wilson lines in quantum field theory

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