Asymptotics of 4d spin foam models

被引：25

作者：

Barrett, John W. ^{[2
]}

Dowdall, Richard J. ^{[2
]}

Fairbairn, Winston J. ^{[1
,2
]}

Gomes, Henrique ^{[2
]}

Hellmann, Frank ^{[2
]}

Pereira, Roberto ^{[3
,4
]}

机构：

[1] Univ Hamburg, Dept Math, D-20146 Hamburg, Germany

[2] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

[3] Ctr Phys Theor, F-13288 Marseille 9, France

[4] Albert Einstein Inst, MPI Gravitat Phys, D-14476 Potsdam, Germany

来源：

GENERAL RELATIVITY AND GRAVITATION | 2011年 / 43卷 / 09期

关键词：

Quantum gravity; Spin foam models; QUANTUM-GRAVITY; VERTEX;

D O I：

10.1007/s10714-010-0983-7

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the asymptotic properties of four-simplex amplitudes for various four-dimensional spin foam models. We investigate the semi-classical limit of the Ooguri, Euclidean and Lorentzian EPRL models using coherent states for the boundary data. For some classes of geometrical boundary data, the asymptotic formulae are given, in all three cases, by simple functions of the Regge action for the four-simplex geometry.

引用

页码：2421 / 2436

页数：16

共 18 条

[1] Asymptotic analysis of the Engle-Pereira-Rovelli-Livine four-simplex amplitude [J].

Barrett, John W. ;

Dowdall, Richard J. ;

Fairbairn, Winston J. ;

Gomes, Henrique ;

Hellmann, Frank .

JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (11)

[2] Relativistic spin networks and quantum gravity [J].

Barrett, JW ;

Crane, L .

JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (06) :3296-3302

[3] A Lorentzian signature model for quantum general relativity [J].

Barrett, JW ;

Crane, L .

CLASSICAL AND QUANTUM GRAVITY, 2000, 17 (16) :3101-3118

[4] SEMICLASSICAL LIMITS OF SIMPLICIAL QUANTUM-GRAVITY [J].

BARRETT, JW ;

FOXON, TJ .

CLASSICAL AND QUANTUM GRAVITY, 1994, 11 (03) :543-556

[5]

Barrett JW, 2009, ARXIV09072440

[6]

BARRETT JW, 2009, ARXIV09124907

[7] Path integral representation of spin foam models of 4D gravity [J].

Conrady, Florian ;

Freidel, Laurent .

CLASSICAL AND QUANTUM GRAVITY, 2008, 25 (24)

[8] Semiclassical limit of 4-dimensional spin foam models [J].

Conrady, Florian ;

Freidel, Laurent .

PHYSICAL REVIEW D, 2008, 78 (10)

[9]

DITTRICH B, 2008, ARXIV08072806

[10] Area-angle variables for general relativity [J].

Dittrich, Bianca ;

Speziale, Simone .

NEW JOURNAL OF PHYSICS, 2008, 10

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