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A quantum Goldman bracket in 2+1 quantum gravity
J. E. Nelson, R. F. Picken
In the context of quantum gravity for spacetimes of dimension 2+1, we describe progress in the construction of a quantum Goldman bracket for intersecting loops on surfaces. Using p…
Constant connections, quantum holonomies and the Goldman bracket
J. E. Nelson, R. F. Picken
In the context of (2+1)--dimensional quantum gravity with negative cosmological constant and topology R x T^2, constant matrix--valued connections generate a q--deformed representa…
Second variational derivative of gauge-natural invariant Lagrangians and conservation laws
M. Francaviglia, M. Palese, E. Winterroth
We consider the second variational derivative of a given gauge-natural invariant Lagrangian taken with respect to (prolongations of) vertical parts of gauge-natural lifts of infini…
A New Geometric Proposal for the Hamiltonian Description of Classical Field Theories
Mauro Francaviglia, Marcella Palese, Ekkehart Winterroth
We consider the geometric formulation of the Hamiltonian formalism for field theory in terms of {\em Hamiltonian connections} and {\em multisymplectic forms}. In this framework the…
Global Generalized Bianchi Identities for Invariant Variational Problems on Gauge-natural Bundles
M. Palese, E. Winterroth
We derive both {\em local} and {\em global} generalized {\em Bianchi identities} for classical Lagrangian field theories on gauge-natural bundles. We show that globally defined gen…