Opening the Pandora's box of quantum spinor fields

Autor(es)

Bonora, L. ^[1] ; Hoff da Silva, J. M. ^[2] ; da Rocha, R. ^[3]

Afiliação do(s) autor(es)

^[1] Int Sch Adv Studies SISSA, Via Bonomea 265, I-34136 Trieste - Italy

^[2] Univ Estadual Paulista UNESP, Dept Fis & Quim, Guaratingueta, SP - Brazil

^[3] Univ Fed ABC UFABC, Ctr Matemat Comp & Cognicao, BR-09210580 Santo Andre - Brazil

• Tipo de documento: Artigo Científico
• Fonte: EUROPEAN PHYSICAL JOURNAL C; v. 78, n. 2 FEB 23 2018.
• Citações Web of Science: 3

Resumo

Lounesto's classification of spinors is a comprehensive and exhaustive algorithm that, based on the bilinears covariants, discloses the possibility of a large variety of spinors, comprising regular and singular spinors and their unexpected applications in physics and including the cases of Dirac, Weyl, and Majorana as very particular spinor fields. In this paper we pose the problem of an analogous classification in the framework of second quantization. We first discuss in general the nature of the problem. Then we start the analysis of two basic bilinear covariants, the scalar and pseudoscalar, in the second quantized setup, with expressions applicable to the quantum field theory extended to all types of spinors. One can see that an ampler set of possibilities opens up with respect to the classical case. A quantum reconstruction algorithm is also proposed. The Feynman propagator is extended for spinors in all classes. (AU)

• Processo FAPESP: 17/18897-8 - Correspondência fluido/gravidade, setores fermiônicos e suas ramificações
• Beneficiário: Roldão da Rocha Junior
• Modalidade de apoio: Auxílio à Pesquisa - Regular