Chromodynamics and Gravity as Theories on Loop Space
arXiv:hep-th/9309056
Abstract
We review some attempts of reformulating both gauge theory and general relativity in terms of holonomy-dependent loop variables. The emphasis lies on exhibiting the underlying mathematical structures, which often are not given due attention in physical applications. An extensive list of references is included.
56 pages, 10 figures (postscript, compressed and uuencoded), TeX, Penn State University CGPG-93/9-1
References in corpus (8)
- Weaving a classical geometry with quantum threads
- Representations of the holonomy algebras of gravity and non-Abelian gauge theories
- Canonical Quantum Gravity
- Recent Developments in Non-Perturbative Quantum Gravity
- The Extended Loop Group: An Infinite Dimensional Manifold Associated with the Loop Space
- Finite, diffeomorphism invariant observables in quantum gravity
- Loop Variable Inequalities in Gravity and Gauge Theory
- REMARKS CONCERNING THE GEOMETRIES OF GRAVITY AND GAUGE FIELDS
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- Generalized Measures in Gauge Theory
- Knots and Quantum Gravity: Progress and Prospects
- QUANTUM ASPECTS OF 2+1 GRAVITY
- Geometric flux formula for the gravitational Wilson loop
- Generalized Path Dependent Representations for Gauge Theories
- SU(2) QCD in the Path Representation: General Formalism and Mandelstam Indentities