Автор |
Dimitri V. Boulatov |
Дата выпуска |
1998-07-01 |
dc.description |
We demonstrate how some problems arising in simplicial quantum gravity can be successfully addressed within the framework of combinatorial group theory. In particular, we argue that the number of simplicial 3-manifolds having a fixed homology type grows exponentially with the number of tetrahedra they are made of. We propose a model of 3D gravity interacting with scalar fermions, some restriction of which gives the 2-dimensional self-avoiding-loop-gas matrix model. We propose a qualitative picture of the phase structure of 3D simplicial gravity compatible with the numerical experiments and available analytical results. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Three-dimensional simplicial gravity and combinatorics of group presentations |
Тип |
paper |
DOI |
10.1088/1126-6708/1998/07/010 |
Electronic ISSN |
1029- 8479 |
Print ISSN |
1126-6708 |
Журнал |
Journal of High Energy Physics |
Том |
1998 |
Первая страница |
10 |
Последняя страница |
010 |
Выпуск |
07 |