DOAJ Open Access 2020

Exotic fermionic fields and minimal length

J. M. Hoff da Silva D. Beghetto R. T. Cavalcanti R. da Rocha

Abstrak

Abstract 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.

Topik & Kata Kunci

Astrophysics Nuclear and particle physics. Atomic energy. Radioactivity

Penulis (4)

J. M. Hoff da Silva

D. Beghetto

R. T. Cavalcanti

R. da Rocha

Format Sitasi

APA MLA BibTeX

Silva, J.M.H.d., Beghetto, D., Cavalcanti, R.T., Rocha, R.d. (2020). Exotic fermionic fields and minimal length. https://doi.org/10.1140/epjc/s10052-020-8313-z

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Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.1140/epjc/s10052-020-8313-z
Akses: Open Access ✓