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.
Original language | English |
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Article number | 254501 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 99 |
Issue number | 25 |
DOIs | |
Publication status | Published - 19 Dec 2007 |