Polysymplectic Hamiltonian formalism and some quantum outcomes
arXiv:hep-th/0411005
Abstract
Covariant (polysymplectic) Hamiltonian field theory is formulated as a particular Lagrangian theory on a polysymplectic phase space that enables one to quantize it in the framework of familiar quantum field theory.
the invited plenary lecture deliverd at 9th International Conference on Differential Geometry and its Applications, Prague, 2004
References in corpus (7)
- Geometry of multisymplectic Hamiltonian first-order field theories
- The Poisson Bracket for Poisson Forms in Multisymplectic Field Theory
- DeDonder-Weyl theory and a hypercomplex extension of quantum mechanics to field theory
- Covariant Hamiltonian field theory
- Finite dimesional Hamiltonian formalism for gauge and field theories
- Precanonical quantization of Yang-Mills fields and the functional Schroedinger representation
- Multimomentum Hamiltonian Formalism in Quantum Field Theory
Cited by in corpus (3)
- The local description of the Ricci and Bianchi identities for an h-normal N-linear connection on the dual 1-jet space J^{1*}(T,M)
- From quadratic Hamiltonians of polymomenta to abstract geometrical Maxwell-like and Einstein-like equations
- A distinguished Riemannian geometrization for quadratic Hamiltonians of polymomenta