Summary
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 arem 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 massm s is assumed to be a bound pair whose whole rest mass is alsom s. The quantization ofm s is discussed by employing a relativistic cut-off, but without using bare masses of particles involved.
Riassunto
Si usa il formalismo dell’hamiltoniana covariante per campi quantizzati insieme al metodo relativistico dello spazio di Fock per quantizzare le masse delle particelle elementari con strutture micrononeausali. Si esamina, come modello semplice, un mesone scalare neutro accoppiato a se stesso e ad un mesone di gauge vettoriale neutro. Si mostra che due mesoni scalari neutri le cui masse sonom s producono una coppia legata in cui i potenziali locali repulsivi a due corpi e gli autopotenziali attrattivi non locali derivati dalla loto autoenergie giocano ruoli preponderanti. Si assume che il mesone scale neutro elementare di massa m, sia una coppia legata la cui massa in quiete è anchem s,. Si discute la quantizzazione dim s, utilizzando un taglio relativistico, ma senza usare le masse nude delle particelle implicate.
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An erratum to this article is available at http://dx.doi.org/10.1007/BF02735158.
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Enatsu, H. Quantization of masses of elementary particles with micrononcausal structures. Nuov Cim A 95, 269–296 (1986). https://doi.org/10.1007/BF02905819
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DOI: https://doi.org/10.1007/BF02905819