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metadata.dc.type: Artigo de Periódico
Title: Gauge symmetry in Fokker–Planck dynamics
Other Titles: Physica A: Statistical Mechanics and its Applications
Authors: Santana, Ademir Eugênio de
Montigny, M. de
Khanna, Faqir C.
metadata.dc.creator: Santana, Ademir Eugênio de
Montigny, M. de
Khanna, Faqir C.
Abstract: 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 View the MathML source, with metric g. With a specific choice of the gauge condition, the Euler–Lagrange equations are written covariantly in View the MathML source, and then the Fokker–Planck equation is derived, such that the drift and the diffusion 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.
Keywords: Fokker-Planck equation
Symmetry in field theory
Riemannian geometry
metadata.dc.rights: Acesso Aberto
Issue Date: 2003
Appears in Collections:Artigo Publicado em Periódico (FIS)

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