Exotic fermionic fields and minimal length

Autor(es)

Hoff da Silva, J. M. ^[1] ; Beghetto, D. ^{[1, 2]} ; Cavalcanti, R. T. ^[1] ; da Rocha, R. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Estadual Paulista, Dept Fis, Av Dr Ariberto Pereira da Cunha 333, BR-333 Guaratingueta, SP - Brazil

^[2] IFNMG, Inst Fed Educ Ciencia & Tecnol Norte Minas Gerais, Av Dr Humberto Mallard 1355, Pirapora, MG - Brazil

^[3] Fed Univ ABC, CMCC, BR-09210580 Santo Andre, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: EUROPEAN PHYSICAL JOURNAL C; v. 80, n. 8 AUG 12 2020.
• Citações Web of Science: 0

Resumo

We investigate the effective Dirac equation, corrected by merging two scenarios that are expected to emerge towards the quantum gravity scale. Namely, the existence of a minimal length, implemented by the generalized uncertainty principle, and exotic spinors, associated with any non-trivial topology equipping the spacetime manifold. We show that the free fermionic dynamical equations, within the context of a minimal length, just allow for trivial solutions, a feature that is not shared by dynamical equations for exotic spinors. In fact, in this coalescing setup, the exoticity is shown to prevent the Dirac operator to be injective, allowing the existence of non-trivial solutions. (AU)

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