A Laplace-Beltrami form for Yang-Mills theory

Details A Laplace-Beltrami form for Yang-Mills theory A Laplace-Beltrami form for Yang-Mills theory

Sep 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cqgra..16.2871b&link_type=abstract

Classical and Quantum Gravity, Volume 16, Issue 9, pp. 2871-2883 (1999).

Physics

Scientific paper

A brief introduction to some of the ideas of a gauge theory are presented with a review of the role of the path integral in developing a quantum theory as well as the path integral over a space of the form S/G. The path integral of the gauge-invariant function over the space of inequivalent connections under a given measure is discussed. It is shown that by taking the Yang-Mills Lagrangian, a formal quantum mechanical Hamiltonian in the space of gauge-invariant functionals can be derived. The scalar product is then given by the formal Riemannian volume element on the space of orbits.

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