{
  "id": "2105.05808",
  "version": "v2",
  "published": "2021-05-12T17:15:51.000Z",
  "updated": "2022-02-24T17:55:24.000Z",
  "title": "Position-space representation of charged particles' propagators in a constant magnetic field as an expansion over Landau levels",
  "authors": [
    "S. N. Iablokov",
    "A. V. Kuznetsov"
  ],
  "comment": "10 pages, 1 figure",
  "categories": [
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-02-24T17:55:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "constant magnetic field",
      "landau levels",
      "position-space representation",
      "charged particles",
      "propagator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}