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Gauge Symmetry and Slavnov-Taylor Identities for Randomly Stirred Fluids

Gauge Symmetry and Slavnov-Taylor Identities for Randomly Stirred Fluids

The path integral for randomly forced incompressible fluids is shown to have an underlying Becchi-Rouet-Stora (BRS) symmetry as a consequence of Galilean invariance. This symmetry must be respected to have a consistent generating functional, free from both an overall infinite factor and spurious relations amongst correlation functions. We present a …