2026-06-28T15:31:19Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/507282023-08-26T10:29:19Zcom_20.500.14352_14col_20.500.14352_15

Covariant and Dynamical Reduction for Principal Bundle Field Theories Castrillón López, Marco Marsden, Jerrold E. Reduction for field theories with symmetry can be done either covariantly—that is, on spacetime—or dynamically—that is, after spacetime is split into space and time. The purpose of this article is to show that these two reduction procedures are, in an appropriate sense, equivalent for a class of field theories whose fields take values in a principal bundle. One can think of this class of field theories as including examples such as a “sea of rigid bodies” with and appropriate interbody coupling potential. 2023-06-20T10:36:08Z 2023-06-20T10:36:08Z 2023-06-20T10:36:08Z 2008 journal article https://hdl.handle.net/20.500.14352/50728 0232-704X 10.1007/s10455-008-9108-x eng MTM2007-60017 restricted access Springer