Mansuroglu R, Sahlmann H (2021)
Publication Type: Journal article
Publication year: 2021
Book Volume: 103
Article Number: 106010
Journal Issue: 10
DOI: 10.1103/PhysRevD.103.106010
Loop quantum gravity envisions a small scale structure of spacetime that is markedly different from that of the classical spacetime continuum. This has ramifications for the excitation of matter fields and for their coupling to gravity. There is a general understanding of how to formulate scalar fields, spin 12 fields, and gauge fields in the framework of loop quantum gravity. The goal of the present work is to investigate kinematical aspects of this coupling. We will study implications of the Gauß and diffeomorphism constraints for the quantum theory: We define and study a less ambiguous variant of the Baez-Krasnov path observables, and we investigate symmetry properties of spin network states imposed by diffeomorphism group averaging. We will do this in a setting which allows for matter excitations of spin 12 and higher. In the case of spin 12, we will also discuss extensions of it by introducing an electromagnetic field and antiparticles. We finally discuss how far the picture with matter excitations of higher spin can be obtained from classical actions for higher spin fields.
APA:
Mansuroglu, R., & Sahlmann, H. (2021). Kinematics of arbitrary spin matter fields in loop quantum gravity. Physical Review D, 103(10). https://dx.doi.org/10.1103/PhysRevD.103.106010
MLA:
Mansuroglu, Refik, and Hanno Sahlmann. "Kinematics of arbitrary spin matter fields in loop quantum gravity." Physical Review D 103.10 (2021).
BibTeX: Download