On the Hamiltonian Constraint of Loop Quantum Cosmology

TL;DR

This paper develops a Hamiltonian constraint operator in loop quantum cosmology using SU(2) holonomies for arbitrary spins, revealing modifications to semi-classical equations that impact early universe models.

Contribution

It introduces a generalized Hamiltonian constraint operator with arbitrary spin representations, enhancing the theoretical framework of loop quantum cosmology.

Findings

Modifications to semi-classical equations of motion due to new Hamiltonian operator

Implications for early universe evolution and cosmological phenomenology

Potential observable imprints of loop quantum effects in cosmology

Abstract

In this paper we construct the Hamiltonian constraint operator of loop quantum cosmology using holonomies defined for arbitrary irreducible SU(2) representations labeled by spin J. We show that modifications to the effective semi-classical equations of motion arise both in the gravitational part of the constraint as well as matter terms. The modifications are important for phenomenological investigations of the cosmological imprints of loop quantum cosmology. We discuss the implications for the early universe evolution.