Recent Developments in Classical and Quantum Theories of Connections, Including General Relativity

Details Recent Developments in Classical and Quantum Theories of Connections, Including General Relativity Recent Developments in Classical and Quantum Theories of Connections, Including General Relativity

1992-05-14

arxiv.org/abs/hep-th/9205038v2

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

General relativity can be recast as a theory of connections by performing a canonical transformation on its phase space. In this form, its (kinematical) structure is closely related to that of Yang-Mills theory and topological field theories. Over the past few years, a variety of techniques have been developed to quantize all these theories non-perturbatively. These developments are summarized with special emphasis on loop space methods and their applications to quantum gravity.

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