New variables for classical and quantum gravity in all dimensions: IV. Matter coupling

Journal article


Publication Details

Author(s): Bodendorfer N, Thiemann T, Thurn A
Journal: Classical and Quantum Gravity
Publisher: IOP PUBLISHING LTD
Publication year: 2013
Volume: 30
Journal issue: 4
ISSN: 0264-9381


Abstract


We employ the techniques introduced in the companion papers (Bodendorfer et al 2011 arXiv: 1105.3703 [gr-qc]; arXiv: 1105.3704 [gr-qc]; arXiv: 1105.3705 [gr-qc]) to derive a connection formulation of Lorentzian general relativity coupled to Dirac fermions in dimensions D + 1 >= 3 with a compact gauge group. The technique that accomplishes that is similar to the one that has been introduced in 3+1 dimensions already. First one performs a canonical analysis of Lorentzian general relativity using the time gauge and then introduces an extension of the phase space analogous to the one employed in [1] to obtain a connection theory with SO(D + 1) as the internal gauge group subject to additional constraints. The success of this method rests heavily on the strong similarity of the Lorentzian and Euclidean Clifford algebras. A quantization of the Hamiltonian constraint is provided.



FAU Authors / FAU Editors

Bodendorfer, Norbert
Chair for Theoretical Physics III (Quantum Gravity)
Thiemann, Thomas Prof. Dr.
Chair for Theoretical Physics III (Quantum Gravity)
Thurn, Andreas
Chair for Theoretical Physics III (Quantum Gravity)


How to cite

APA:
Bodendorfer, N., Thiemann, T., & Thurn, A. (2013). New variables for classical and quantum gravity in all dimensions: IV. Matter coupling. Classical and Quantum Gravity, 30(4). https://dx.doi.org/10.1088/0264-9381/30/4/045004

MLA:
Bodendorfer, Norbert, Thomas Thiemann, and Andreas Thurn. "New variables for classical and quantum gravity in all dimensions: IV. Matter coupling." Classical and Quantum Gravity 30.4 (2013).

BibTeX: 

Last updated on 2018-07-08 at 00:08