A Study of Fermions Coupled to Gauge and Gravitational Fields on a Cylinder

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, UI-94-2 (Some minor typographical errors are cleaned up.)

Scientific paper

10.1016/0550-3213(94)00544-O

Fermions on a cylinder coupled to gravity and gauge fields are examined by studying the geometric action associated with the symmetries of such a system. The gauge coupling constant is shown to be constrained and the effect of gravity on the masses is discussed. Furthermore, we introduce a new gravitational theory which couples to the fermions by promoting the coadjoint vector of the diffeomorphism sector to a dynamical variable. This system, together with the gauge sector is shown to be equivalent to a one dimensional system.

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