69 citations · 329 across the 18 of their papers we have counts for
19 papers
Quantization via Deformation of Prequantization
Christian Duval, Mark J. Gotay
We introduce the notion of a "Souriau bracket" on a prequantum circle bundle over a phase space and explain how a deformation of in the direction of this bracket provid…
Covariantizing Classical Field Theories
Marco Castrillón López, Mark J. Gotay
We show how to enlarge the covariance group of any classical field theory in such a way that the resulting "covariantized" theory is 'essentially equivalent' to the original. In pa…
Parametrization and Stress-Energy-Momentum Tensors in Metric Field Theories
Marco Castrillon Lopez, Mark J. Gotay, Jerrold E. Marsden
We give an exposition of the parametrization method of Kuchar [1973] in the context of the multisymplectic approach to field theory, as presented in Gotay and Marsden [2008a]. The…
Concatenating Variational Principles and the Kinetic Stress-Energy-Momentum Tensor
Marco Castrillon Lopez, Mark J. Gotay, Jerrold E. Marsden
We show how to "concatenate" variational principles over different bases into one over a single base, thereby providing a unified Lagrangian treatment of interacting systems. As an…
Momentum Maps and Classical Relativistic Fields. Part II: Canonical Analysis of Field Theories
Mark J. Gotay, James Isenberg, Jerrold E. Marsden
With the covariant formulation in hand from the first paper of this series (physics/9801019), we begin in this second paper to study the canonical (or ``instantaneous'') formulatio…
On quantizing semisimple basic algebras II: The general case
Mark J. Gotay
We prove that there is no consistent polynomial quantization of the coordinate ring of a basic non-nilpotent coadjoint orbit of a semisimple Lie group.