Gauge symmetry in Fokker–Planck dynamics

✍ Scribed by M. de Montigny; F.C. Khanna; A.E. Santana

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 124 KB
• Volume: 323
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/s0378-4371(03)00041-4

✦ Synopsis

Using a Galilean metric approach, based on an embedding of the Euclidean space into a (4+1)-Minkowski space, we analyze a gauge invariant Lagrangian associated with a Riemannian manifold R, with metric g. With a speciÿc choice of the gauge condition, the Euler-Lagrange equations are written covariantly in R, and then the Fokker-Planck equation is derived, such that the drift and the di usion terms are obtained from g. The analysis is carried out for both, Abelian and non-Abelian symmetries, and an example with the su(2) symmetry is presented.