Quantization of masses of elementary particles with micrononcausal structures

A covariant Hamiltonian formalism for quantized fields together with a relativistic Fock space method are used to quantize masses of elementary particles with micrononcausal structures. As a simple model, a neutral scalar meson coupled to itself and to a neutral vector gauge meson is examined. It is shown that two neutral scalar mesons whose masses are msub(s) produce a bound pair in which repulsive local two-body potentials, and attractive nonlocal self-potentials derived from their self-energies, play major roles. The elementary neutral scalar meson of mass msub(s) is assumed to be a bound pair whose whole rest mass is also msub(s). The quantization of msub(s) is discussed by employing a relativistic cut-off, but without using bare masses of particles involved