A path-space formula for non-abelian gauge theories

ABSTRACTS

superluminal vanishingly

propagation small under

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speeds. This bound implies present laboratory conditions.

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the detection

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probability

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Soliton Theoretic Framework for Generating Multimonopoles. PETER FORG~~CS. Central Research Institute for Physics, H- 1525 Budapest 114, P.0.B.49, Hungary; AND ZALAN HORVATH AND LAsz~i) PALLA. Institute for Theoretical Physics, Roland Eotvos University. H- 1088 Budapest. Hungary. We present a systematic method using Backlund transformation for generating S(..(2l Yang-Mills-Higgs monopoles of arbitrary charge. The purely algebraic iteration formula for our Blcklund transformation is derived. Our method is based on the equivalence of the axially and mirrors symmetric Bogomolny equations and the Ernst equation. The properties of the Ernst equation that are relevant for monopoles are also discussed. The application of the method is illustrated for the example of the one- and two-monopole solutions.

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Path-Space Mathematics Mathematics.

A functional the dynamics Fadde’av-Popov

Formula for Non-Abelian Gauge Theories. JOHN L. CHALLIFOUR. Departments and Physics. Indiana University, Bloomington, Indiana 47401; and Department University of British Columbia, Vancouver, British Columbia V6T lY4. Canada. integral representation is obtained for a semigroup of a cutoff Yang-Mills theory in space-time formula is shown to arise as a stochastic integral

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in an indefinite metric space giving dimensions greater than two. The in the Feynman gauge.