C^{1/2}P^{1/2}T^{1/2} Symmetry of the Chaotic Inflation Dynamics

TL;DR

This paper reveals a novel local gauge symmetry in the equations of chaotic inflation, suggesting the inflation field mass as a special charge and uncovering a new $C^{1/2}P^{1/2}T^{1/2}$ symmetry alongside known symmetries.

Contribution

It introduces a new $C^{1/2}P^{1/2}T^{1/2}$ symmetry in the dynamical equations of chaotic inflation, expanding understanding of underlying symmetries in cosmological models.

Findings

Identification of a local gauge symmetry in inflation equations.

Inflation field mass can be viewed as a 'charge' due to this symmetry.

Discovery of a new $C^{1/2}P^{1/2}T^{1/2}$ symmetry in the equations.

Abstract

In this work is shown that standard dynamical equations of the chaotic inflation for a massive real scalar field hold an especial local gauge symmetry. Given symmetry admits that inflation field mass can be considered as an especial "charge". Also, it is shown that given equations except expected $CPT$ symmetry, hold surprisingly, $C^{{1/2}}P^{{1/2}}T^{{1/2}}$ symmetry too.