Field-strength and dual variable formulations of gauge theory

Journal Article · Mon Jan 15 04:00:00 EST 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.19.517· OSTI ID:6195048

Halpern, M B

Using completely fixed axial-like gauges, I construct the unique inversion A (F) for the potential A in terms of the field strength F. A change of variable to F results in a field-strength formulation of gauge theory. F is constrained to satisfy the Bianchi ''identities'' partialF - eA (F) F = 0. Dual potentials A may also be introduced as functional Fourier conjugates to the Bianchi forms. For quantum electrodynamics in four dimensions, duality (F ..-->.. F, A ..-->.. A) is a perfect symmetry. However, residuals of the symmetry persist in all theories: E.g., Gauss's law is an identity; A is canonical to the magnetic fields, and closely related to 't Hooft's disorder operators.

• Research Organization: Department of Physics and Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720
• OSTI ID: 6195048
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 19:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DUALITY
ELECTRODYNAMICS
FIELD THEORIES
GAUGE INVARIANCE
HAMILTONIANS
INVARIANCE PRINCIPLES
MAGNETIC FIELDS
MATHEMATICAL OPERATORS
MONOPOLES
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SYMMETRY