Effects of a Flux Field on Quantum Dynamics of Scalar Particles in Wormhole Background with Disclinations

In this research, we focus on investigating the behavior of zero-spin scalar boson-antiboson particles in a specific space-time of \((1+2)\)-dimensional circularly symmetric and static traversable wormhole with cosmic strings, all under the influence of a quantum flux field. We start by deriving the wave equation from the Klein–Gordon equation, which governs the relativistic quantum motion of scalar bosons-antibosons. By solving this equation using the confluent Heun equation, we obtain the ground state energy level \(E^{+}_{1,\ell}\) and the corresponding wave function \(\Psi^{+}_{1,\ell}\) as a particular case. The main findings of this study indicate that various factors, such as the presence of cosmic strings, the radius of the wormhole throat, and the quantum flux, have significant impacts on the behavior of scalar bosons-antibosons.