Work

Hamiltonian operator for loop quantum gravity coupled to a scalar field

Year: 2015

Type: article

Abstract: We present the construction of a physical Hamiltonian operator in the deparametrized model of loop quantum gravity coupled to a free scalar field. This construction is based on the use of the recently introduced curvature operator, and on the idea of so-called special loops. We discuss in detail the regularization procedure and the assignment of the loops, along with the properties of the resulting operator. We compute the action of the squared Hamiltonian operator on spin network states, and close with some comments and outlooks.

Source: Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

DOI: 10.1103/physrevd.91.124067

Authors: E. Alesci, M. Assanioussi, J. Lewandowski, I. Mäkinen

Institution: University of Warsaw

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Narodowe Centrum Nauki, Jenny ja Antti Wihurin Rahasto

Award: G1695123152