Gravitational Frames and Scalar Field Dynamics

TL;DR

This paper explores the behavior of scalar fields under gravitational influences, analyzing their structure, interactions, and proposing methods for stabilizing Higgs bosons within conformal frameworks.

Contribution

It introduces a new approach to analyze scalar field interactions under conformal transformations and suggests a novel stabilization method for Higgs bosons.

Findings

Reduced quadratic quantum contributions in single scalar field theory

Analyzed interactions in multi-scalar field theories under specific limits

Proposed a new stabilization method for Higgs bosons

Abstract

Scalar fields describe interesting phenomena such as Higgs bosons, dark matter and dark energy, and are found to be quite common in physical theories. These fields are susceptible to gravitational forces so that being massless is not enough to remain conformal invariant. They should also be connected directly to the scalar curvature. Because of this characteristics, we investigated the structure and interactions of scalar fields under the conformal transformations. We show how to reduce the quadratic quantum contributions in the single scalar field theory. In the multi-scalar field theories, we analyzed interactions in certain limits. We suggest a new method for stabilizing Higgs bosons.