On the Significance of the Fields’ Energy-Momentum Tensor
E. Comay *
Charactell Ltd., PO Box 39019, Tel-Aviv, 61390, Israel.
*Author to whom correspondence should be addressed.
Abstract
This work discusses the significance of the energy-momentum tensor of physical fields of an elementary particle. The Noether theorem shows how this tensor can be derived from the Lagrangian density of a given field. This work proves that the energy-momentum tensor can also be used for a consistency test of a field theory. The results show that the Dirac Lagrangian density of a spin-1/2 massive particle yields consistent results. On the other hand, problems exist with the present structure of quantum electrodynamics, and with quantum fields of massive particles that are described by a second order differential equation. All problematic results are confirmed by an independent analysis.
Keywords: The Energy-Momentum Tensor, The Lagrangian Density, Classical and Quantum Fields, Consistency Test.