Some aspects of the homogeneous formalism in Field Theory and gauge invariance

Details Some aspects of the homogeneous formalism in Field Theory and gauge invariance Some aspects of the homogeneous formalism in Field Theory and gauge invariance

2006-03-24

arxiv.org/abs/math-ph/0603062v2

Arch. Math. (Brno) 42(2006), Supplement, 319--327

Physics

Mathematical Physics

9 pages, slightly revised, to appear in Proc. Winter School "Geometry and Physics", Srni (CZ) 2006

Scientific paper

We propose a suitable formulation of the Hamiltonian formalism for Field Theory in terms of Hamiltonian connections and multisymplectic forms where a composite fibered bundle, involving a line bundle, plays the role of an extended configuration bundle. This new approach can be interpreted as a suitable generalization to Field Theory of the homogeneous formalism for Hamiltonian Mechanics. As an example of application, we obtain the expression of a formal energy for a parametrized version of the Hilbert--Einstein Lagrangian and we show that this quantity is conserved.

Affiliated with

Also associated with

No associations

Rating

Some aspects of the homogeneous formalism in Field Theory and gauge invariance does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Some aspects of the homogeneous formalism in Field Theory and gauge invariance, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some aspects of the homogeneous formalism in Field Theory and gauge invariance will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-91137