Lattice Chern-Simons gravity via the Ponzano-Regge model

被引：16
|
作者：
Kawamoto, N [1 ]
Nielsen, HB
Sato, N
机构：
[1] Hokkaido Univ, Dept Phys, Sapporo, Hokkaido 0600810, Japan
[2] Niels Bohr Inst, DK-2100 Copenhagen, Denmark
来源：
NUCLEAR PHYSICS B | 1999年 / 555卷 / 03期
基金：
日本学术振兴会;
关键词：
lattice gravity; Ponzano-Regge model; Chern-Simons gravity; lattice gauge theory;
D O I：
10.1016/S0550-3213(99)00331-4
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 propose a lattice version of Chern-Simons gravity and show that the partition function coincides with the Ponzano-Regge model and the action leads to the Chern-Simons gravity in the continuum limit. The action is explicitly constructed by the lattice dreibein and spin connection and is shown to be invariant under lattice local Lorentz transformations and gauge diffeomorphisms, The action includes the constraint which can be interpreted as a gauge fixing condition of the lattice gauge diffeomorphism. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：629 / 649
页数：21
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