1,721,510 research outputs found
1992 -- Correspondence, Miscellaneous -- letter, 1992-08-21
Letter from Edwards, James B. to Sabin, Albert B. dated 1992-08-21.Sabin Collection Fair Use Policy</a
Pavarotti, Luciano -- 1982-88 -- Correspondence, Individual -- letter, 1983-11-01
Letter from Edwards, James B. to Sabin, Albert B. dated 1983-11-01.Sabin Collection Fair Use Policy</a
1983 -- January-July -- Correspondence, Miscellaneous -- letter, 1983-07-01
Letter from Edwards, James B. to Sabin, Albert B. dated 1983-07-01.Sabin Collection Fair Use Policy</a
Miscellaneous, Unable to Attend -- 1988 -- Personal and Professional Activities, Events -- letter, 1987-11-06
Letter from Edwards, James B. to Sabin, Albert B. dated 1987-11-06.Sabin Collection Fair Use Policy</a
Mixed symmetry Wilson-loop interactions in the worldline formalism
Using the worldline formalism of the Dirac field with a non-Abelian gauge symmetry we show how to describe the matter field transforming in an arbitrary representation of the gauge group. Colour degrees of freedom are carried on the worldline by auxiliary fields, responsible for providing path ordering and the Wilson-loop coupling. The Hilbert space of these fields is reducible but we make use of recent work in order to project onto a single, arbitrary, irreducible representation. By functionally quantising the resulting theory we show that this procedure correctly generates the Wilson-loop interaction between the gauge field and the matter field taken to transform in a chosen representation. This work has direct application to physical observables such as scattering amplitudes in the presence of such a matter multiplet and lifts the restriction on the type of matter that has previously featured in worldline calculations
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