General Couplings Conditions of Four-Dimensional Maxwell-Klein-Gordon System Mulyanto (a*), Fiki Taufik Akbar (a,b), and Bobby Eka Gunara (a,b)
(a) Theoretical High Energy Physics and Instrumentation Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung
Jl. Ganesha no. 10 Bandung, Indonesia, 40132
(b) Indonesia Center for Theoretical and Mathematical Physics (ICTMP)
*mulyanto[at]students.itb.ac.id
Abstract
In this paper, we study the conditions for the general gauge couplings of the Maxwell Klein Gordon system in four-dimensional Minkowski spacetime. With the general coupling turned on, we start with the Lagrangian for the multi-interaction between electromagnetic fields and complex scalar fields. The equation of motion is then derived in the form of a nonlinear wave equation. We obtained the general solution for the vector potential using the spherical means method. By considering the Coulomb gauge condition, we acquire the constraint for the couplings and the internal manifold metrics, which are critical in proving the global existence of the solution
Keywords: Scalar Wave Equation, General Coupling, Coulomb Gauge
