A Yang–Mills Electrodynamics Theory on the Holomorphic Tangent Bundle

DOI

10.1142/S1402925110000738How to use a DOI?

Keywords

Complex Lagrange spaces; Maxwell equations; Yang–Mills theories

Abstract

Considering a complex Lagrange space ([24]), in this paper the complex electromagnetic tensor fields are defined as the sum between the differential of the complex Liouville 1-form and the symplectic 2-form of the space relative to the adapted frames of the Chern–Lagrange complex nonlinear connection. In particular, an electrodynamics theory on a complex Finsler space is obtained.

We show that our definition of the complex electrodynamics tensors has physical meaning and these tensors generate an adequate field theory which offers the opportunity of coupling with the gravitation. The generalized complex Maxwell equations are written.

A gauge field theory of electrodynamics on the holomorphic tangent bundle is put over T′M and the gauge invariance to phase transformations is studied. An extension of the Dirac Lagrangian on T′M coupled with the electrodynamics Lagrangian is studied and it offers the framework for a unified gauge theory of fields.

Copyright

© 2010 The Authors. Published by Atlantis Press and Taylor & Francis

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Gheorghe Munteanu
PY  - 2021
DA  - 2021/01/07
TI  - A Yang–Mills Electrodynamics Theory on the Holomorphic Tangent Bundle
JO  - Journal of Nonlinear Mathematical Physics
SP  - 227
EP  - 242
VL  - 17
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925110000738
DO  - 10.1142/S1402925110000738
ID  - Munteanu2021
ER  -