1,722,910 research outputs found
Taking Kaluza seriously leads to a nongauge invariant electromagnetic theory in a curved space-time
No full text
Massless fermion mixing for semispinorial torsional interaction
No full textWe consider a geometric approach to field theory in which torsion is present in the matter field equations, and we develop the consequences of the torsion-spin coupling for a pair of single-handed spinors; we show these interactions to have the structure of a flavour-changing neutral current giving rise to a mixing for two massless fermion fields: as torsional interactions for semispinors entail mixing for massless fermions we speculate that this mechanism could be responsible for oscillations of neutrinos
On a completely antisymmetric cartan torsion tensor
No full textWe discuss the general structure of metric geometries, and how metricity implies the complete antisymmetry of Cartan tensor; an application in the frame of Lie group theory is given. Interpretations of the completely antisymmetric torsion in physical models are reviewed
Geometrical properties and propagation for the Proca field theory
No full textWe consider the Proca field with dynamical term given by the exterior derivative with respect to the most general connection; the most general Proca field equations are given: a discussion about the propagation and the geometrical properties is presented. It is shown that this generalization is inconsistent and therefore the standard theory is already the most general Proca theory compatible with our geometrical restrictions
On the problem of unicity in Einstein-Sciama-Kibble theory
No full textWe consider the ESK theory, based on the principle for which the space is filled with matter fields in such a way that Cartan torsion is spin; in the geometry in which Cartan torsion tensor is completely antisymmetric, spin has to be completely antisymmetric: we will show how the complete antisymmetry of spin constraints the form of possible matter field theories as to allow the special case of the simplest one solely, all other most general cases being excluded
Torsion-Gravity and Spinors in Fundamental Theoretical Physics
No full textEinstein’s theory of gravitation is perhaps one of the best-established theories ever conceived. However, it is based on the hypothesis that space-time carries curvature alone, leaving torsion out. Because torsion is a natural part of the most general geometric background in which Einstein gravity is built, it is all too natural that the torsional completion of gravity should be considered. Constructing an underlying stage in which both curvature and torsion are present, the fact that curvature couples with energy suggests that torsion may couple with spin, which is the other conserved quantity in quantum field theory. Torsion-gravity with spinning matter is, therefore, a complete and self-consistent setting for modern physics, with potential applications wherever spin effects may be important, stretching from quantum mechanics to the standard models of particle physics and early cosmology. However, this fact is not as present in today’s literature as it might be. The scope of the present collection of papers is to bring together the wisdom of various experts in the field, so to make the present status of torsion in gravity and spin in quantum field theory clearer
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