Hamiltonian formalism of field theories on null surfaces
The canonical formalism for the massless scalar field and electromagnetic field is set up on a Cauchy surface made of two null cones, one of which is an outgoing null cone and the other is that part of future null infinity which extends back to space-like infinity. The Hamiltonian defined on the part containing the future null infinity is the energy radiated. The total energy is the energy defined on the outgoing null cone plus the energy radiated and is a constant of the motion. Since the formalism is on characteristic surfaces, the momenta satisfy certain constraints in addition to the gauge constraints and they belong to second class type in Dirac's nomenclature. They are eliminated by the use of Dirac brackets. With these Dirac brackets the Hamiltonian gives the once integrated field equations for the dynamical variables. The commutators for the quantization are then set equal to i times the Dirac brackets.
- Research Organization:
- Syracuse Univ., NY (USA)
- OSTI ID:
- 5345389
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
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