# Spacelike deformations: Higher-helicity fields from scalar fields

## TL;DR

This paper introduces spacelike deformations as a novel method to generate higher-helicity fields from scalar fields by modifying translation operators, expanding the framework of quantum field theory beyond Hamiltonian perturbations.

## Contribution

It presents the concept of spacelike deformations, demonstrating their application to derive higher-helicity fields from scalar fields, including a new approach to increase scalar field mass.

## Key findings

- Maxwell theory as a spacelike deformation of Klein-Gordon field
- Construction of higher-helicity fields from scalar fields
- Method to increase scalar field mass via spacelike deformation

## Abstract

In contrast to Hamiltonian perturbation theory which changes the time evolution, "spacelike deformations" proceed by changing the translations (momentum operators). The free Maxwell theory is only the first member of an infinite family of spacelike deformations of the complex massless Klein-Gordon quantum field into fields of higher helicity. A similar but simpler instance of spacelike deformation allows to increase the mass of scalar fields.