Noncausal propagation in spin0 theories with external field interactions
Abstract
The twocomponent SakataTaketani (ST) spin0 theory and the singlecomponent KleinGordon theory are obtained from the fivecomponent DuffinKemmerPetiau (DKP) theory with six types of external field interactions by means of a Peirce decomposition. Whereas the DKP equation manifests the covariance, the ST equation manifests the causal properties. In particular, the presence of noncausal wave propagation when there is coupling to a secondrank tensor field is apparent from the form of the ST equation, in which the coefficients of all the space derivatives depend on the external field. Our results indicate that the causal properties of higherspin equations should also be obvious when they are expressed in 2(2 J+1)component Schrödinger form.
 Publication:

Physical Review D
 Pub Date:
 March 1977
 DOI:
 10.1103/PhysRevD.15.1518
 Bibcode:
 1977PhRvD..15.1518G
 Keywords:

 Field Theory (Physics);
 KleinGordon Equation;
 Schroedinger Equation;
 Spin Dynamics;
 Wave Interaction;
 Wave Propagation;
 Coupling;
 Covariance;
 Degrees Of Freedom;
 Particle Motion;
 Quantum Mechanics;
 Tensor Analysis;
 Theoretical Physics;
 Nuclear and HighEnergy Physics