Radiative Symmetry Breaking and Dynamical Origin of Cosmological Constant in $\phi^4$ Theory with Non-Linear Curvature Coupling

TL;DR

This paper explores how a scalar field with non-linear curvature coupling in FRW spacetime can lead to radiative symmetry breaking and offers a dynamical approach to resolving the cosmological constant problem.

Contribution

It introduces a novel scalar field model with non-linear curvature coupling that explains the smallness of the cosmological constant through radiative symmetry breaking.

Findings

Demonstrates phase structure of symmetry breaking in the model

Provides a dynamical mechanism for the cosmological constant

Analyzes the behavior of massless scalar fields in FRW spacetime

Abstract

A scalar self-interacting theory non-linearly coupled with some power of the curvature have a possibility to explain the current smallness of the cosmological constant. Here one concentrate on a massless scalar field in the four-dimensional Fridmann-Robertson-Walker (FRW) spacetime with flat spatial part. One show the phase structure of radiative symmetry breaking and review a dynamical resolution of the cosmological constant problem.