General Poincar\'e gauge theory: Hamiltonian structure and particle spectrum

TL;DR

This paper analyzes the Hamiltonian structure of parity-violating Poincaré gauge theory, identifying constraints and parameters, and explores the particle spectrum in the weak field approximation.

Contribution

It provides a comprehensive Hamiltonian analysis of the theory, including primary constraints and critical parameters, crucial for understanding its particle spectrum.

Findings

Identified all primary constraints and critical parameters.

Constructed the generic form of the canonical Hamiltonian.

Analyzed the particle spectrum around Minkowski background.

Abstract

Basic aspects of the Hamiltonian structure of the parity-violating Poincar\'e gauge theory are studied. We found all possible primary constraints, identified the corresponding critical parameters, and constructed the generic form of the canonical Hamiltonian. In addition to being important in their own right, these results offer dynamical information that is essential for a proper understanding of the particle spectrum of the theory, calculated in the weak field approximation around the Minkowski background.