The free massless superparticle is reanalysed, in particular by performing the Gupta-Bleuler quantization, using the first and second class constraints of the model, and obtaining, as a result, the Weyl equation for the spinorial component of the chiral superfield. Then we construct a superconformal model of two interacting massless superparticles from the free case by the introduction of an invariant interaction. The interaction introduces an effective mass for each particle by modifying the structure of fermionic constraints, all becoming second class. The quantization of the model produces a bilocal chiral superfield. We also generalise the model by considering a system of superconformal interacting particles and its continuum limit.

Superconformal interacting particles / Roberto Casalbuoni, Daniele Dominici, Joaquim Gomis. - In: PHYSICAL REVIEW D. - ISSN 2470-0029. - ELETTRONICO. - 109:(2024), pp. 0-0.

Superconformal interacting particles

Roberto Casalbuoni;Daniele Dominici;
2024

Abstract

The free massless superparticle is reanalysed, in particular by performing the Gupta-Bleuler quantization, using the first and second class constraints of the model, and obtaining, as a result, the Weyl equation for the spinorial component of the chiral superfield. Then we construct a superconformal model of two interacting massless superparticles from the free case by the introduction of an invariant interaction. The interaction introduces an effective mass for each particle by modifying the structure of fermionic constraints, all becoming second class. The quantization of the model produces a bilocal chiral superfield. We also generalise the model by considering a system of superconformal interacting particles and its continuum limit.
2024
109
0
0
Roberto Casalbuoni, Daniele Dominici, Joaquim Gomis
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1350699
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