Vassiliev invariants: a new framework for quantum gravity

被引：6

作者：

Gambini, R

Griego, J

Pullin, J

机构：

[1] Fac Ciencias, Inst Fis, Montevideo, Uruguay

[2] Penn State Univ, Dept Phys, Ctr Gravitat Phys & Geometry, University Pk, PA 16802 USA

来源：

NUCLEAR PHYSICS B | 1998年 / 534卷 / 03期

关键词：

Vassiliev invariants; canonical quantum gravity; ashtekar variables; loop quantization; spin networks;

D O I：

10.1016/S0550-3213(98)80012-6

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We show that Vassiliev invariants of knots, appropriately generalized to the spin network context, are loop differentiable in spite of being diffeomorphism invariant. This opens the possibility of defining rigorously the constraints of quantum gravity as geometrical operators acting on the space of Vassiliev invariants of spin nets, We show how to explicitly realize the diffeomorphism constraint on this space and present proposals for the construction of Hamiltonian constraints. (C) 1998 Published by Elsevier Science B.V.

引用

页码：675 / 696

页数：22

共 29 条

[1] NUMERICAL KNOT INVARIANTS OF FINITE-TYPE FROM CHERN-SIMONS PERTURBATION-THEORY [J].