An alternative derivation of the Dirac operator generating intrinsic Lagrangian local gauge invariance

Abstract

This paper introduces an alternative formalism for deriving the Dirac operator and equation. The use of this formalism concomitantly generates a separate operator coupled to the Dirac operator. When operating on a Clifford field, this coupled operator produces field components which are formally equivalent to the field components of Maxwell's electromagnetic field tensor. Consequently, the Lagrangian of the associated coupled field exhibits internal local gauge symmetry. The coupled field Lagrangian is seen to be equivalent to the Lagrangian of Quantum Electrodynamics. Received: 8 November 2016,  Accepted: 4 January 2017;  Edited by: D. Gomez Dumm;  DOI: http://dx.doi.org/10.4279/PIP.090002 Cite as: B J Wolk, Papers in Physics 9, 090002 (2017) This paper, by B J Wolk , is licensed under the Creative Commons Attribution License 3.0 .