Torsion axial vector and Yvon-Takabayashi angle: zitterbewegung, chirality and all that

Author(s)

Fabbri, Luca ^[1] ; da Rocha, Roldao ^[2]

Affiliation

^[1] Univ Genoa, DIME, I-16129 Genoa - Italy

^[2] Univ Fed ABC, CMCC, BR-09210580 Santo Andre - Brazil

• Document type: Journal article
• Source: EUROPEAN PHYSICAL JOURNAL C; v. 78, n. 3 MAR 13 2018.
• Web of Science Citations: 4

Abstract

We consider propagating torsion as a completion of gravitation in order to describe the dynamics of curved-twisted space-times filled with Dirac spinorial fields; we discuss interesting relationships of the torsion axial vector and the curvature tensor with the Yvon-Takabayashi angle and the module of the spinor field, that is the two degrees of freedom of the spinor field itself: in particular, we shall discuss in what way the torsion axial vector could be seen as the potential of a specific interaction of the Yvon-Takabayashi angle, and therefore as a force between the two chiral projections of the spinor field itself. Chiral interactions of the components of a spinor may render effects of zitterbewegung, as well as effective mass terms and other related features: we shall briefly sketch some of the analogies and differences with the similar but not identical situation given by the Yukawa interaction occurring in the Higgs sector of the standard model. We will provide some overall considerations about general consequences for contemporary physics, consequences that have never been discussed before, so far as we are aware, in the present physics literature. (AU)

• FAPESP's process: 17/18897-8 - Fluid/gravity correspondence, fermionic sectors and its ramifications
• Grantee: Roldão da Rocha
• Support Opportunities: Regular Research Grants