A Discussion on Dirac Field Theory, No-Go Theorems and Renormalizability

Abstract

We study Dirac field equations coupled to electrodynamics with metric and torsion fields: we discuss how special spinorial solutions are incompatible with torsion; eventually these results will be used to sketch a discussion on the problem of renormalizability of point-like particles.

10 pages

References in corpus (4)

• Extended Theories of Gravity
• Light fermions in quantum gravity
• Dirac fields in f(R)-gravity with torsion
• Renormalization by gravity and the Kerr spinning particle

Cited by in corpus (16)

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• Nonlinear Spinor Fields in Bianchi type-VI spacetime
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• Nonlinear Spinor Fields in Bianchi type-III spacetime
• Least-Order Torsion-Gravity for Dirac Fields, and their Non-Linearity terms
• Electromagnetic Interaction in the Presence of Isotopic Field-Charges and a Kinetic Field
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• Torsionally-gravitating charged matter fields and quanta
• Spinor field in Bianchi type-$IX$ space-time
• Nonlinear Spinor Fields in LRS Bianchi type-I spacetime: Theory and observation