2021/05/12 by Stanislav N. Iablokov, S. N. Iablokov, A. V. Kuznetsov +1
Engineering · Mathematics · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Classical mechanics #Euclidean space #Fock space #Geometry #Invariant (physics) #Landau quantization #Lorentz transformation #Magnetic field #Mathematical analysis #Mathematical physics #Mathematics #Neutrino Physics Research #Particle Accelerators and Free-Electron Lasers #Particle physics theoretical and experimental studies #Physics #Position and momentum space #Propagator #Quantum and Classical Electrodynamics #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #Scientific Research and Discoveries #Space (punctuation) #hep-th #math-ph #math.MP
paper · pdf · doi:10.1140/epjc/s10052-022-10132-3
10 pages, 1 figure
arxiv created 2022/02/24 · openalex publication_date 2022/03/01 · arxiv updated 2022/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02
We have obtained propagators in the position space as an expansion over Landau levels for the charged scalar particle, fermion, and massive vector boson in a constant external magnetic field. The summation terms in the resulting expressions consisted of two factors, one being rotationally invariant in the 2-dimensional Euclidean space perpendicular to the direction of the field, and the other being Lorentz-invariant in the 1+1-dimensional space-time. The obtained representations are unique in the sense that they allow for the simultaneous study of the propagator from both space-time and energetic perspectives which are implicitly connected. These results contribute to the development of position-space techniques in QFT and are expected to be of use in the calculations of loop diagrams.