Four-dimensional CDT with toroidal topology

被引：24

作者：

Ambjorn, J. ^{[1
,2
]}

Gizbert-Studnicki, J. ^{[3
]}

Gorlich, A. ^{[1
,3
]}

Grosvenor, K. ^{[1
]}

Jurkiewicz, J. ^{[3
]}

机构：

[1] Univ Copenhagen, Niels Bohr Inst, Blegdamsvej 17, DK-2100 Copenhagen, Denmark

[2] Radboud Univ Nijmegen, IMAPP, POB 9010, Nijmegen, Netherlands

[3] Jagiellonian Univ, M Smoluchowski Inst Phys, Lojasiewicza 11, PL-30348 Krakow, Poland

来源：

NUCLEAR PHYSICS B | 2017年 / 922卷

关键词：

QUANTUM-GRAVITY; RENORMALIZATION-GROUP; CRITICAL DIMENSIONS; RANDOM SURFACES; MODEL; APPEARANCE; EXPONENTS; BEHAVIOR;

D O I：

10.1016/j.nuclphysb.2017.06.026

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：

3 + 1dimensional Causal Dynamical Triangulations (CDT) describe a quantum theory of fluctuating geometries without the introduction of a background geometry. If the topology of space is constrained to be that of a three-dimensional torus we show that the system will fluctuate around a dynamically formed background geometry which can be understood from a simple minisuperspace action which contains both a classical part and a quantum part. We determine this action by integrating out degrees of freedom in the full model, as well as by transfer matrix methods. (C) 2017 The Author(s). Published by Elsevier B.V.

引用

页码：226 / 246

页数：21

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