Extended BRST invariance in topological Yang Mills theory revisited

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Interaction terms heve been included in all the calculations. Two references added. Version to be published in Phys. Rev. D. 7

Scientific paper

10.1103/PhysRevD.61.125019

Extended BRST invariance (BRST plus anti-BRST invariances) provides in principle a natural way of introducing the complete gauge fixing structure associated to a gauge field theory in the minimum representation of the algebra. However, as it happens in topological Yang Mills theory, not all gauge fixings can be obtained from a symmetrical extended BRST algebra, where antighosts belong to the same representation of the Lorentz group of the corresponding ghosts. We show here that, at non interacting level, a simple field redefinition makes it possible to start with an extended BRST algebra with symmetric ghost antighost spectrum and arrive at the gauge fixing action of topological Yang Mills theory.

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