A gauge-theoretic description of mu-prolongations, and mu-symmetries of differential equations
Articolo
Data di Pubblicazione:
2009
Citazione:
A gauge-theoretic description of mu-prolongations, and mu-symmetries of differential equations / G. Gaeta. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 59:4(2009), pp. 519-539. [10.1016/j.geomphys.2009.01.004]
Abstract:
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
μ-symmetry; Gauge theories; Prolongations; Symmetry of differential equations
Elenco autori:
G. Gaeta
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