Complexified Theory of Positive-Frequency Photons

✍ Scribed by J.G. Cardoso

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 575 KB
• Volume: 221
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1993.1014

✦ Synopsis

A method whereby one may actually work out a variational principle in a suitable proper subset of the forward tube of complex Minkowski space is used to derive the explicit twospinor form of the equations of motion that lead to the entire set of electromagnetic field equations. The Lagrangian density giving rise to the second half of the theory appears as the holomorphic version of the full conventional one. The first half actually arises as a set of equations of motion involving a suitably modified form of the source-free part of the holomorphic Maxwell Lagrangian density. We utilize the former source-free piece to build up a defining relation for the energy-momentum tensor of the theory which yields at once the complexified version of the well-known Penrose expression. This energy-momentum tensor structure gives rise to manifestly covariant contour integral expressions for the energymomentum four-vector and angular-momentum bivector of the theory. The wave equations governing the propagation of complexified positive-frequency photons are then exhibited. I 1993 Academic Press, (1 \mathrm{nc})