Complete factorization of equations of motion for generalized scalar field theories

TL;DR

This paper shows how to fully factorize equations of motion into first-order equations for scalar field theories with non-standard dynamics, simplifying analysis and solution methods.

Contribution

It introduces a method for complete factorization of equations of motion in generalized scalar field theories, including non-canonical cases.

Findings

Complete factorization achieved for real and complex scalar fields.

Simplifies solving equations of motion in non-canonical theories.

Provides a new framework for analyzing scalar field dynamics.

Abstract

We demonstrate that the complete factorization of equations of motion into first-order differential equations can be obtained for real and complex scalar field theories with non-canonical dynamics.