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Generalized Measures in Gauge Theory
John C. Baez
Let P -> M be a principal G-bundle. Using techniques from the loop representation of gauge theory, we construct well-defined substitutes for ``Lebesgue measure'' on the space A of…
Strings, Loops, Knots and Gauge Fields
John C. Baez
The loop representation of quantum gravity has many formal resemblances to a background-free string theory. In fact, its origins lie in attempts to treat the string theory of hadro…
Diffeomorphism-invariant generalized measures on the space of connections modulo gauge transformations
John C. Baez
The notion of a measure on the space of connections modulo gauge transformations that is invariant under diffeomorphisms of the base manifold is important in a variety of contexts…
Link Invariants, Holonomy Algebras and Functional Integration
John C. Baez
Given a principal G-bundle over a smooth manifold M, with G a compact Lie group, and given a finite-dimensional unitary representation of G, one may define an algebra of functions…