Exotic dark spinor fields

Autor(es)

da Rocha, Roldao ; Bernardini, Alex E. ; Hoff da Silva, J. M.

• Tipo de documento: Artigo Científico
• Fonte: Journal of High Energy Physics; v. N/A, n. 4, p. 26-pg., 2011-04-01.

Resumo

Exotic dark spinor fields are introduced and investigated in the context of inequivalent spin structures on arbitrary curved spacetimes, which induces an additional term on the associated Dirac operator, related to a Cech cohomology class. For the most kinds of spinor fields, any exotic term in the Dirac operator can be absorbed and encoded as a shift of the electromagnetic vector potential representing an element of the cohomology group H-1(M, Z(2)). The possibility of concealing such an exotic term does not exist in case of dark (ELKO) spinor fields, as they cannot carry electromagnetic charge, so that the full topological analysis must be evaluated. Since exotic dark spinor fields also satisfy Klein-Gordon propagators, the dynamical constraints related to the exotic term in the Dirac equation can be explicitly calculated. It forthwith implies that the non-trivial topology associated to the spacetime can drastically engender - from the dynamics of dark spinor fields - constraints in the spacetime metric structure. Meanwhile, such constraints may be alleviated, at the cost of constraining the exotic spacetime topology. Besides being prime candidates to the dark matter problem, dark spinor fields are shown to be potential candidates to probe non-trivial topologies in spacetime, as well as probe the spacetime metric structure. (AU)

• Processo FAPESP: 08/50671-0 - Aplicações em mecânica quântica relativística e teoria de campos: oscilações quânticas, campos fermiônicos, quiralidade e equação de Dirac; sistemas com violação de Lorentz, energia escura e neutrinos cosmológicos; dinâmica relativística no efeito de tunelamento; zitterbewegung-like em sistemas fermiônicos em física da matéria condensada
• Beneficiário: Alex Eduardo de Bernardini
• Modalidade de apoio: Auxílio à Pesquisa - Jovens Pesquisadores