Prog. Theor. Phys. Vol. 60 No. 2 (1978) pp. 595-610
Constituent Mass, Free-Limit Condition, and Quantization for Trilocal Theory
Department of Physics, Nagoya University, Nagoya 464
(Received March 30, 1978)
Trilocal theory representing relativistic mechanics of three interacting particles (given previously) is supplemented for the following important respects. (i) Theory is cast into the general Hamiltonian formalism to exhibit its algebraic aspect. (ii) The model is completed by the clarification of the extra constraints ensuring that in the force-free limit the rest mass of each constituent should be reduced to structure constant. (iii) Quantum theory is given in two alternative forms, the normal quantization and the one which resorts to indefinite metric, for the case when constituents have equal limiting mass. (iv) For the case of unequal limiting constituent masses, however, only the latter quantization is applicable, and in this case the differences between squared constituent masses cause nonlinearity of the leading trajectory through a characteristic quantity Δ. (v) A modified version of trilocal model, which is analogous to open string theory, is given.
DOI : 10.1143/PTP.60.595
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Citing Article(s) :
Progress of Theoretical Physics Vol. 62 No. 5 (1979) pp. 1403-1418
Relativistic Mechanical Model for Three-Particle System
Progress of Theoretical Physics Vol. 67 No. 5 (1982) pp. 1278-1289
Three-Particle Relativistic Harmonic Dynamics in the Constraint Formalism
Progress of Theoretical Physics Supplement No.67 (1979) pp. 1-68
Relativistic Mechanics of Confined Particles as Extended Model of Hadrons