Poincare gauge theory from higher derivative matter lagrangean

TL;DR

This paper develops a Poincare gauge theory derived from a matter Lagrangian with higher derivatives, emphasizing its geometric interpretation through localization of Poincare symmetry.

Contribution

It introduces a method to construct Poincare gauge theories from higher derivative matter Lagrangians, reinforcing the geometric approach to gravity.

Findings

Successfully localizes Poincare symmetry in higher derivative matter theories

Demonstrates the geometric nature of the resulting gauge theory

Provides a framework linking higher derivatives to gravitational coupling

Abstract

Starting from matter lagrangean containing higher order derivative than the first, we construct the Poincare gauge theory by localising the Poincare symmetry of the matter theory. The construction is shown to follow the usual geometric procedure of gravitational coupling, thereby buttressing the geometric interpretation of the Poincare gauge theory.