Field-strength formulation of gauge theories. The Hamiltonian approach in the Abelian theory

Journal Article · Mon Oct 15 04:00:00 EDT 1984 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.30.1754· OSTI ID:6258503

Mendel, E; Durand, L

We develop a Hamiltonian approach to the field-strength or dual formation of the Abelian gauge theory in which the potential A/sup ..mu../ is eliminated as a dynamical variable. Our work is based on the covariant gauge x/sup ..mu../A/sub ..mu../(x) = 0 which allows a simple elimination of A/sup ..mu../ in terms of the field strengths F/sup munu/. We obtain complete results for the generating functional for the Green's functions of the theory, Z = Z(f,g), where f and g are nonlocal currents coupled to E and B, and illustrate some unfamiliar aspects of the new formalism.

• Research Organization: Physics Department, University of British Columbia, Vancouver, British Columbia, Canada V6T 2A3
• OSTI ID: 6258503
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 30:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
HAMILTONIANS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MATHEMATICAL OPERATORS
POTENTIALS
QUANTIZATION
QUANTUM OPERATORS