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Gauge Symmetry and Slavnov-Taylor Identities for Randomly Stirred Fluids

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http://prl.aps.org/abstract/PRL/v99/i25/e254501
Original languageEnglish
Article number254501
Number of pages4
JournalPhysical Review Letters
Volume99
Issue number25
DOIs
Publication statusPublished - 19 Dec 2007

Abstract

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 procedure for respecting this BRS symmetry, akin to gauge fixing in quantum field theory. Relations are derived between correlation functions of this gauge-fixed, BRS symmetric theory, analogous to the Slavnov-Taylor identities of quantum field theory.

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