For any principal bundle P, one can consider the subspace of the space of connections on its tangent bundle TP given by the tangent bundle T of the space of connections  on P. The tangent gauge group acts freely on T. Appropriate BRST operators are introduced for quantum field theories that include as fields elements of T, as well as tangent vectors to the space of curvatures. As the simplest application, the BRST symmetry of the so-called BF-Yang-Mills theory is described and the relevant gauge fixing conditions are analyzed. A brief account on the topological BF theories is also included and the relevant Batalin-Vilkovisky operator is described.

BRST Symmetries for the Tangent Gauge Group

RINALDI, Maurizio
1998-01-01

Abstract

For any principal bundle P, one can consider the subspace of the space of connections on its tangent bundle TP given by the tangent bundle T of the space of connections  on P. The tangent gauge group acts freely on T. Appropriate BRST operators are introduced for quantum field theories that include as fields elements of T, as well as tangent vectors to the space of curvatures. As the simplest application, the BRST symmetry of the so-called BF-Yang-Mills theory is described and the relevant gauge fixing conditions are analyzed. A brief account on the topological BF theories is also included and the relevant Batalin-Vilkovisky operator is described.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11579/10034
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