Semantic Scholar Open Access 1999 362 sitasi

A Lorentzian signature model for quantum general relativity

J. Barrett L. Crane

Abstrak

We give a relativistic spin network model for quantum gravity based on the Lorentz group and its q-deformation, the Quantum Lorentz Algebra. We propose a combinatorial model for the path integral given by an integral over suitable representations of this algebra. This generalises the state sum models for the case of the four-dimensional rotation group previously studied in gr-qc/9709028. As a technical tool, formulae for the evaluation of relativistic spin networks for the Lorentz group are developed, with some simple examples which show that the evaluation is finite in interesting cases. We conjecture that the `10J' symbol needed in our model has a finite value.

Topik & Kata Kunci

Penulis (2)

J

J. Barrett

L

L. Crane

Format Sitasi

Barrett, J., Crane, L. (1999). A Lorentzian signature model for quantum general relativity. https://doi.org/10.1088/0264-9381/17/16/302

Akses Cepat

Lihat di Sumber doi.org/10.1088/0264-9381/17/16/302
Informasi Jurnal
Tahun Terbit
1999
Bahasa
en
Total Sitasi
362×
Sumber Database
Semantic Scholar
DOI
10.1088/0264-9381/17/16/302
Akses
Open Access ✓