TITLE:
Finite Time Domain Dynamics of Dirac Fields
AUTHORS:
Emmanouil George Thrapsaniotis
KEYWORDS:
Dirac Fields, Finite Time Domain, Time Propagation, Electromagnetic Wave, Perturbation Theory
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.12,
December
26,
2023
ABSTRACT: In the present paper we consider the case of a Dirac field in a finite time domain and coupled to an external field. We decompose the field and its Hamiltonian in terms of creation and annihilation operators and path integrate it via Grassmannian variables techniques. In that way we obtain its finite time domain Green function. We use it in the perturbative study of the interaction of Dirac particles with classical electromagnetic waves.