TITLE:
On the Charges and Currents in the Quantum Field Theory
AUTHORS:
Daniel Sepunaru
KEYWORDS:
Gauge Charges, Structure Constants, Multiplication Tables, Color
JOURNAL NAME:
Journal of Modern Physics,
Vol.7 No.10,
June
14,
2016
ABSTRACT: This paper is concerned with the determination of currents and charges in hypercomplex extensions of the Feynman-Dyson derivation of the Maxwell-Faraday equations. We analyze the appearance of charges and currents in non-Abelian versions of that approach: SU(2), SU(3) and G2. The structure constants of G2 Lie algebra are computed explicitly. Finally, we suggest a seven-dimensional treatment of color.