English

Remarks on QFT in the Coordinate Space

Mathematical Physics 2019-04-03 v2 math.MP Quantum Physics

Abstract

Generators of the Poincar\'e group, for a free massive scalar field, are usually expressed in the momentum space. In this work we perform a transformation of these generators into the coordinate space. This (spatial)-position space is spanned by eigenvectors of the Newton-Wigner-Pryce operator. The motivation is a deeper understanding of the commutative spatial coordinate space in QFT, in order to investigate the non-commutative version thereof.

Cite

@article{arxiv.1609.01687,
  title  = {Remarks on QFT in the Coordinate Space},
  author = {Albert Much},
  journal= {arXiv preprint arXiv:1609.01687},
  year   = {2019}
}

Comments

added a new Theorem

R2 v1 2026-06-22T15:41:39.291Z