Gravity, Nonlinear Gauge Fields and Charge Confinement/Deconfinement

TL;DR

This paper explores how coupling nonlinear gauge fields with gravity, including f(R) models, leads to phenomena like charge confinement, new black hole solutions, and phase transitions, revealing rich physical effects.

Contribution

It introduces novel solutions and mechanisms in gravity coupled with nonlinear gauge fields, including confinement, charge hiding, and phase transitions, expanding understanding of gravitational and gauge interactions.

Findings

Discovery of black hole solutions with constant vacuum electric field

Identification of charge-confining and charge-hiding wormhole solutions

Demonstration of confinement-deconfinement transitions in R^2 gravity

Abstract

We discuss in some detail the properties of gravity (including f(R)-gravity) coupled to non-standard nonlinear gauge field system containing a square root of the usual Maxwell Lagrangian. The latter is known to produce in flat spacetime a QCD-like confinement. Inclusion of gravity triggers various physically interesting effects: new mechanism for dynamical generation of cosmological constant; non-standard black hole solutions with constant vacuum electric field and with "hedge-hog"-type spacetime asymptotics, which are shown to obey the first law of black hole thermodynamics; new "tubelike" solutions of Levi-Civita-Bertotti-Robinson type; charge-"hiding" and charge-confining "thin-shell" wormhole solutions; dynamical effective gauge couplings and confinement-deconfinement transition effect when coupled to quadratic R^2-gravity.