Non-minimal pp-wave Einstein-Yang-Mills-Higgs model: color cross-effects induced by curvature

TL;DR

This paper explores how non-minimal curvature couplings in a pp-wave Einstein-Yang-Mills-Higgs model induce color cross-effects similar to magneto-electric phenomena, leading to new exact solutions and insights into test particle dynamics.

Contribution

It introduces a novel non-minimal EYMH model with seven parameters, reconstructs associated metrics, and derives explicit solutions demonstrating curvature-induced color cross-effects.

Findings

Color cross-effects analogous to magneto-electricity are induced by curvature.

Explicit solutions for Yang-Mills and Higgs fields in the non-minimal model are obtained.

Non-minimal coupling influences test particle motion via trapped surfaces.

Abstract

Non-minimal interactions in the pp-wave Einstein - Yang - Mills - Higgs (EYMH) model are shown to give rise to color cross-effects analogous to the magneto-electricity in the Maxwell theory. In order to illustrate the significance of these color cross-effects, we reconstruct the effective (associated, color and color-acoustic) metrics for the pp-wave non-minimal seven-parameter EYMH model with parallel gauge and scalar background fields. Then these metrics are used as hints for obtaining explicit exact solutions of the non-minimally extended Yang-Mills and Higgs equations for the test fields propagating in the vacuum interacting with curvature. The influence of the non-minimal coupling on the test particle motion is interpreted in terms of the so-called trapped surfaces, introduced in the Analog Gravity theory.