Field Theory for Multi - Particle System

The main objectives of this article are 1) to introduces some basic postulates for quantum multi-particle systems, and 2) to develop a universal field theory for interacting multi-particle systems coupling both particle fields and interacting fields. By carefully examining the nature of interactions between multi-particles, we conclude that multi-particle systems must obey both the gauge symmetry and the principle of interaction dynamics (PID). Hence a few basic postulates for multi-particle systems are introduced based on gauge invariance and PID, leading to a field theory for interacting multi-particle systems. A direct consequence of the field theory is the derivation of general atomic spectrum equations. Another important application of this field theory is a unified field model coupling matter fields, with the energy-momentum tensor Tμν , geometrized as hoped by Einstein and Nambu.