On the Anticipatory Aspects of the Four Interactions: what the Known Classical and Semi-Classical Solutions Teach us
- Sezione INFN di Firenze, L.go E.Fermi 2 (Arcetri), 50125 Florence (Italy)
The four (electro-magnetic, weak, strong and gravitational) interactions are described by singular Lagrangians and by Dirac-Bergmann theory of Hamiltonian constraints. As a consequence a subset of the original configuration variables are gauge variables, not determined by the equations of motion. Only at the Hamiltonian level it is possible to separate the gauge variables from the deterministic physical degrees of freedom, the Dirac observables, and to formulate a well posed Cauchy problem for them both in special and general relativity. Then the requirement of causality dictates the choice of retarded solutions at the classical level. However both the problems of the classical theory of the electron, leading to the choice of (1/2) (retarded + advanced) solutions, and the regularization of quantum field theory, leading to the Feynman propagator, introduce anticipatory aspects. The determination of the relativistic Darwin potential as a semi-classical approximation to the Lienard-Wiechert solution for particles with Grassmann-valued electric charges, regularizing the Coulomb self-energies, shows that these anticipatory effects live beyond the semi-classical approximation (tree level) under the form of radiative corrections, at least for the electro-magnetic interaction.Talk and 'best contribution' at The Sixth International Conference on Computing Anticipatory Systems CASYS'03, Liege August 11-16, 2003.
- OSTI ID:
- 20632682
- Journal Information:
- AIP Conference Proceedings, Vol. 718, Issue 1; Conference: CASYS'03: 6. international conference on computing anticipatory systems, Liege (Belgium), 11-16 Aug 2003; Other Information: DOI: 10.1063/1.1787316; (c) 2004 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
CAUCHY PROBLEM
CAUSALITY
DEGREES OF FREEDOM
ELECTRIC CHARGES
ELECTRONS
EQUATIONS OF MOTION
GENERAL RELATIVITY THEORY
GRAVITATIONAL INTERACTIONS
HAMILTONIANS
LAGRANGIAN FUNCTION
MATHEMATICAL SOLUTIONS
POTENTIALS
PROPAGATOR
QUANTUM FIELD THEORY
RADIATIVE CORRECTIONS
RELATIVISTIC RANGE
SELF-ENERGY