https://doi.org/10.1140/epjc/s10052-022-10132-3
Regular Article - Theoretical Physics
Position-space representation of charged particles’ propagators in a constant magnetic field as an expansion over Landau levels
P.G. Demidov Yaroslavl State University, Yaroslavl, Russia
Received:
20
December
2021
Accepted:
11
February
2022
Published online:
3
March
2022
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.
© The Author(s) 2022
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