Gauge Symmetry and Slavnov-Taylor Identities for Randomly Stirred Fluids

Journal Article · Fri Dec 21 00:00:00 EST 2007 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.99.254501· OSTI ID:21024616

Berera, Arjun ^[1]; Hochberg, David ^[2]

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1. School of Physics, University of Edinburgh, Edinburgh EH9 3JZ (United Kingdom)
2. Centro de Astrobiologia (CSIC-INTA), Carretera Ajalvir Kilometro 4, 28850 Torrejon de Ardoz, Madrid (Spain)

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.

• OSTI ID: 21024616
• Journal Information: Physical Review Letters, Vol. 99, Issue 25; Other Information: DOI: 10.1103/PhysRevLett.99.254501; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRELATION FUNCTIONS
GAUGE INVARIANCE
PATH INTEGRALS
QUANTUM FIELD THEORY
SYMMETRY