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Most general propagator in quantum field theory

Luca Fabbri

DIME Sez. Metodi e Modelli Matematici, Università di Genova, via all’Opera Pia 15, 16145 Genova, Italy

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and

Rodolfo José Bueno Rogerio

Institute of Physics and Chemistry, Federal University of Itajubá, Itajubá, Minas Gerais, 37500-903, Brazil

E-mail Address: rodolforogerio@gmail.com

Corresponding author.

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https://doi.org/10.1142/S0217732321501248Cited by:0 (Source: Crossref)

Abstract

One of the most important mathematical tools necessary for Quantum Field Theory calculations is the field propagator. Applications are always done in terms of plane waves and although this has furnished many magnificent results, one may still be allowed to wonder what is the form of the most general propagator that can be written. In this paper, by exploiting what is called polar form, we find the most general propagator in the case of spinors, whether regular or singular, and we give a general discussion in the case of vectors.

Keywords:

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