TITLE:
Finite Time Domain Dynamics of Vector Fields: Stueckelberg Lagrangian
AUTHORS:
Emmanouil George Thrapsaniotis
KEYWORDS:
Vector Fields, Photons, Finite Time Interval, Functional Techniques, Currents
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.14 No.5,
May
28,
2026
ABSTRACT: We study the finite time domain dynamics of vector fields under the Stueckelberg lagrangian. We consider the relevant Hamiltonian and expand in term of creation and annihilation operators. We integrate via path integral methods within the holomorphic representation and extract the corresponding Green functions in various dimensions. Further, we study the photonic massless case. Finally, we consider the possible generation of vector fields and in particular of photons from currents.