Edinburgh Research Explorer

Gauge Symmetry and Slavnov-Taylor Identities for Randomly Stirred Fluids

Research output: Contribution to journalArticle

Related Edinburgh Organisations

Open Access permissions



Original languageEnglish
Article number254501
Number of pages4
JournalPhysical Review Letters
Issue number25
Publication statusPublished - 19 Dec 2007


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.

Download statistics

No data available

ID: 1377541