CHEN INTEGRALS, GENERALIZED LOOPS AND LOOP CALCULUS

DOI10.1142/S0217751X94001795zbMath0988.58500arXivhep-th/9305173MaRDI QIDQ2775249

João N. Tavares

Publication date: 26 February 2002

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9305173

zbMATH Keywords

variational derivativearea derivativeend point derivativegeneralized loopiterated line integral

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Loop groups and related constructions, group-theoretic treatment (22E67) Quantization of the gravitational field (83C45) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (16)

Witten's identity for Chern-Simons theory ⋮ A HYDRODYNAMICAL HOMOTOPY CO-MOMENTUM MAP AND A MULTISYMPLECTIC INTERPRETATION OF HIGHER-ORDER LINKING NUMBERS ⋮ Thin homotopy and the holonomy approach to gauge theories ⋮ On the constraint algebra of quantum gravity in the loop representation ⋮ Fréchet derivative for light-like Wilson loops ⋮ Foundation for quantum computing. II ⋮ Emergent geometry, emergent forces ⋮ On geometric scaling of light-like Wilson polygons: higher orders in \(\alpha_s\) ⋮ Some quantum symmetries and their breaking. I ⋮ HIGHER ORDER LINKING NUMBERS, CURVATURE AND HOLONOMY ⋮ Evolution of light-like Wilson loops with a self-intersection in loop space ⋮ Gravitation in terms of observables ⋮ Asymptotic expansion of perturbative Chern-Simons theory via Wiener space ⋮ An approach to higher order linking invariants through holonomy and curvature ⋮ Schwinger–Dyson operators as invariant vector fields on a matrix model analog of the group of loops ⋮ Generalized holonomies

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