1,345 research outputs found
Fiber Bundles, Yang-Mills Theory, and General Relativity
I articulate and discuss a geometrical interpretation of Yang-Mills theory.
Analogies and disanalogies between Yang-Mills theory and general relativity are
also considered.Comment: 54 page
Fiber Bundles, Yang-Mills Theory, and General Relativity
I articulate and discuss a geometrical interpretation of Yang-Mills theory. Analogies and disanalogies between Yang-Mills theory and general relativity are also considered
On quasi-local charges and Newman--Penrose type quantities in Yang--Mills theories
We generalize the notion of quasi-local charges, introduced by P. Tod for
Yang--Mills fields with unitary groups, to non-Abelian gauge theories with
arbitrary gauge group, and calculate its small sphere and large sphere limits
both at spatial and null infinity. We show that for semisimple gauge groups no
reasonable definition yield conserved total charges and Newman--Penrose (NP)
type quantities at null infinity in generic, radiative configurations. The
conditions of their conservation, both in terms of the field configurations and
the structure of the gauge group, are clarified. We also calculate the NP
quantities for stationary, asymptotic solutions of the field equations with
vanishing magnetic charges, and illustrate these by explicit solutions with
various gauge groups.Comment: 22 pages, typos corrected, appearing in Classical and Quantum Gravit
Categories and the Foundations of Classical Field Theories
I review some recent work on applications of category theory to questions
concerning theoretical structure and theoretical equivalence of classical field
theories, including Newtonian gravitation, general relativity, and Yang-Mills
theories.Comment: 26 pages. Written for a volume entitled "Categories for the Working
Philosopher", edited by Elaine Landr
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