Multipole singularities in special-relativistic nonlinear field theories

Havas, P.

doi:10.1103/PhysRevD.5.3048

Multipole singularities in special-relativistic nonlinear field theories

P. Havas
(
- Pennsylvania U.
)

1972

18 pages

Published in:

Phys.Rev.D 5 (1972) 3048-3065

DOI:

10.1103/PhysRevD.5.3048

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Abstract: (APS)

The general form of the equations of motion of a particle possessing multipole singularities of a classical neutral meson field of spin zero or one was found by Harish-Chandra, and for a more general form of the interaction as well as for charged and charge-symmetric fields by Havas. In two recent papers, forms of the multipole moments of arbitrary order of such fields (including the electromagnetic field as a special case) were found; they were established under the assumption that the spin of the particle is of constant magnitude and orthogonal to the four-velocity, for constant magnitude ("intrinsic moments") or variable magnitude ("induced moments," acceleration-dependent forces) of such moments. In this paper we study the case of charged and charge-symmetric meson fields interacting with electromagnetic fields, for which the field equations are nonlinear, and the theory admits gauge invariance of the first and second kind. The laws of motion are found by a method developed earlier on the basis of work by Mathisson. It is then shown that these laws are compatible with the same forms of the intrinsic and induced electromagnetic and mesonic multipole moments as found for noninteracting fields, provided a simple equation for the variation of the classical "isotopic spin" is adopted, which is a generalization of the equation postulated in the noninteracting case and which is compatible with the equation of conservation of charge. In spite of the nonlinearity of the field equations, the particle can carry an arbitrary linear combination of such multipole moments. The methods used appear to be applicable to other nonlinear field theories.

field theory: model
relativity theory
photon meson: interaction
interaction: photon meson
charge
meson: photoproduction
photoproduction: meson
invariance: gauge
field equations
moment

References(17)

Figures(0)

Classical theory of radiating electrons

Paul A.M. Dirac
(
- Cambridge U.
)

- Proc.Roy.Soc.Lond.A 167 (1938) 148-169
•
DOI:
- 10.1098/rspa.1938.0124

On the theory of point-particles

- Proc.Roy.Soc.Lond.A 183 (1944) 993, 134-141
•
DOI:
- 10.1098/rspa.1944.0026

On the fields and equations of motion of point particles

- Proc.Roy.Soc.Lond.A 185 (1946) 1002, 250-268
•
DOI:
- 10.1098/rspa.1946.0017

- Helv.Phys.Acta 12 1

On the equations of motion of point particles

Harish-Chandra

- Proc.Roy.Soc.Lond.A 185 (1946) 1002, 269-287
•
DOI:
- 10.1098/rspa.1946.0018

- Phys.Rev. 113 732

- Helv.Phys.Acta 14 257

- Proc.Cambridge Phil.Soc. 45 429

- Bull.Am.Phys.Soc. 2 189

- Phys.Rev. 93 1400

- Phys.Rev. 116 202

- Proc.Cambridge Phil.Soc. 36 331

- Proc.Cambridge Phil.Soc. 38 40

- Proc.Cambridge Phil.Soc. 42 54

Lorentz-Invariant Equations of Motion of Point Masses in the General Theory of Relativity

- Phys.Rev. 128 (1962) 398-414
•
DOI:
- 10.1103/PhysRev.128.398

- J.Math.Phys. 5 373

Conservation of Isotopic Spin and Isotopic Gauge Invariance

Chen-Ning Yang
(
- Brookhaven
)
,
Robert L. Mills
(
- Brookhaven
)

- Phys.Rev. 96 (1954) 191-195,
- Also in *Lai, C. H. (Ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 29-33, and in *Yang, C.N.: Selected Papers 1945-1980*, 172-176,
•
DOI:
- 10.1103/PhysRev.96.191