Classical and quantum dynamics of the Faraday lines of force

Journal Article · Wed Jun 15 00:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.6883· OSTI ID:7116975

Frittelli, S; Koshti, S; Newman, E T; Rovelli, C ^[1]

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1. Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260 (United States)

We study the vacuum Maxwell theory by expressing the electric field in terms of its Faraday lines of force. This representation allows us to capture the two physical degrees of freedom of the electric field by means of two scalar fields. The corresponding classical canonical theory is constructed in terms of four scalar fields, is fully gauge invariant, has an attractive kinematics, but a rather complicated dynamics. The corresponding quantum theory can be constructed in a well-defined functional representation, which we refer to as the Euler representation. This representation turns out to be related to the loop representation. The resulting quantization scheme is, perhaps, of relevance for non-Abelian theories and for gravity.

• OSTI ID: 7116975
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 49:12; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MAXWELL EQUATIONS
QUANTIZATION
DEGREES OF FREEDOM
DYNAMICS
ELECTRIC FIELDS
FARADAY CURRENT
FOURIER TRANSFORMATION
GAUGE INVARIANCE
MINKOWSKI SPACE
PHASE SPACE
SCALAR FIELDS
SPACE-TIME
CURRENTS
DIFFERENTIAL EQUATIONS
ELECTRIC CURRENTS
EQUATIONS
INTEGRAL TRANSFORMATIONS
INVARIANCE PRINCIPLES
MATHEMATICAL SPACE
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
SPACE
TRANSFORMATIONS
661100* - Classical & Quantum Mechanics- (1992-)