A Macroscopically Effective Lorentz Gauge Theory of Gravity

TL;DR

This paper develops a Lorentz gauge theory of gravity as an effective field theory, deriving effective equations that recover Newtonian gravity and exploring deviations from general relativity in strong-field regimes.

Contribution

It introduces a new effective field theory framework for gravity based on Lorentz gauge symmetry, connecting Newton's constant to underlying microscopic parameters.

Findings

Newton's gravitational constant emerges as an effective coupling.

The linear theory aligns with Newtonian gravity.

Deviations from general relativity occur in non-linear, strong-field regions.

Abstract

Following the ideas of effective field theories, we derive classically effective field equations of recently developed Lorentz gauge theory of gravity. It is shown that Newton's gravitational constant emerges as an effective coupling parameter if an extremely small length is integrated out of the underlying theory. The linear version of the effective theory is shown to be fully consistent with the Newtonian gravity. We also derive a numerical solution for the interior of a star and show that in the non-linear regions, the behavior of the effective theory deviates from the predictions of general relativity.