English

Covariant actions and propagators for all spins, masses, and dimensions

High Energy Physics - Theory 2024-04-23 v3

Abstract

The explicit covariant actions and propagators are given for fields describing particles of all spins and masses, in any spacetime dimension. Massive particles are realized as "dimensionally reduced" massless particles. To obtain compact expressions for the propagators, it was useful to introduce an auxiliary vector coordinate sμs^{\mu} and consider "hyperfields" that are functions of space XμX^{\mu} and sμs^{\mu}. The actions and propagators serve as a basic starting point for concrete high spin computations amenable to dimensional regularization, provided that gauge invariant interactions are introduced.

Keywords

Cite

@article{arxiv.2307.11750,
  title  = {Covariant actions and propagators for all spins, masses, and dimensions},
  author = {Lukas W. Lindwasser},
  journal= {arXiv preprint arXiv:2307.11750},
  year   = {2024}
}

Comments

v1, 37 pages; v2, references added; v3, published version