We consider generalized (possibly depending on fields as well as on space–time variables) gauge transformations and gauge symmetries in the context of general – that is, possibly non variational nor covariant – differential equations. In this case the relevant principal bundle admits the first jet bundle (of the phase manifold) as an associated bundle, at difference with standard Yang–Mills theories. We also show how in this context the recently introduced operation of μ-prolongation of vector fields (which generalizes the λ-prolongation of Muriel and Romero), and hence μ-symmetries of differential equations, arise naturally. This is turn suggests several directions for further development.
|Titolo:||A gauge-theoretic description of mu-prolongations, and mu-symmetries of differential equations|
GAETA, GIUSEPPE (Primo)
|Parole Chiave:||μ-symmetry; Gauge theories; Prolongations; Symmetry of differential equations|
|Settore Scientifico Disciplinare:||Settore MAT/07 - Fisica Matematica|
|Data di pubblicazione:||2009|
|Digital Object Identifier (DOI):||10.1016/j.geomphys.2009.01.004|
|Appare nelle tipologie:||01 - Articolo su periodico|