Peculiar spaces of relativistic quantum fields

TL;DR

This paper investigates how relativistic quantum field models change under coordinate reparametrizations and transformations, showing how massive fields in Minkowski space can be related to massless fields in curved spacetime.

Contribution

It introduces specific transformations that relate massive Minkowski fields to massless fields in curved spacetime, expanding understanding of field behavior under reparametrizations.

Findings

Transformations connecting massive and massless fields

Reparametrization effects on quantum field actions

Relation between Minkowski and curved spacetime fields

Abstract

We study how quantum field theory models are modified under the reparametrizations of the space-time coordinates and some simultaneous transformations of the field function. The transformations that turn the action of the massive field in the Minkowski space-time into the action of the massless field in some curved space are presented.