Renormalization group flow in CDT

被引：52

作者：

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

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

Jurkiewicz, J. ^{[3
]}

Kreienbuehl, A. ^{[2
,4
]}

Loll, R. ^{[2
,5
]}

机构：

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

[2] Radboud Univ Nijmegen, Inst Math Astrophys & Particle Phys, NL-6525 AJ Nijmegen, Netherlands

[3] Jagiellonian Univ, Inst Phys, PL-30059 Krakow, Poland

[4] Univ Lugano, Inst Computat Sci, CH-6900 Lugano, Switzerland

[5] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada

来源：

CLASSICAL AND QUANTUM GRAVITY | 2014年 / 31卷 / 16期

关键词：

quantum gravity; lattice field theory; renormalization group flow; CAUSAL DYNAMICAL TRIANGULATIONS; SIMPLICIAL QUANTUM-GRAVITY; CRITICAL-BEHAVIOR; EQUATION; UNIVERSE; LIMIT;

D O I：

10.1088/0264-9381/31/16/165003

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We perform a first investigation of the coupling constant flow of the non-perturbative lattice model of four-dimensional quantum gravity given in terms of causal dynamical triangulations (CDT). After explaining how standard concepts of lattice field theory can be adapted to the case of this background-independent theory, we define a notion of 'lines of constant physics' in coupling constant space in terms of certain semiclassical properties of the dynamically generated quantum universe. Determining flow lines with the help of Monte Carlo simulations, we find that the second-order phase transition line present in this theory can be interpreted as a UV phase transition line if we allow for an anisotropic scaling of space and time.

引用

页数：15

共 41 条

[1] CRITICAL-BEHAVIOR OF DYNAMICALLY TRIANGULATED QUANTUM-GRAVITY IN 4 DIMENSIONS [J].

AGISHTEIN, ME ;

MIGDAL, AA .

NUCLEAR PHYSICS B, 1992, 385 (1-2) :395-412

[2] SIMULATIONS OF 4-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY AS DYNAMIC TRIANGULATION [J].

AGISHTEIN, ME ;

MIGDAL, AA .

MODERN PHYSICS LETTERS A, 1992, 7 (12) :1039-1061

[3] The spectral dimension of the universe is scale dependent [J].

Ambjorn, J ;

Jurkiewicz, J ;

Loll, R .

PHYSICAL REVIEW LETTERS, 2005, 95 (17)

[4] 4-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY [J].

AMBJORN, J ;

JURKIEWICZ, J .

PHYSICS LETTERS B, 1992, 278 (1-2) :42-50

[5] Reconstructing the Universe [J].

Ambjorn, J ;

Jurkiewicz, J ;

Loll, R .

PHYSICAL REVIEW D, 2005, 72 (06)

[6] Emergence of a 4D world from causal quantum gravity [J].

Ambjorn, J ;

Jurkiewicz, J ;

Loll, R .

PHYSICAL REVIEW LETTERS, 2004, 93 (13) :131301-1

[7] Semiclassical universe from first principles [J].

Ambjorn, J ;

Jurkiewicz, J ;

Loll, R .

PHYSICS LETTERS B, 2005, 607 (3-4) :205-213

[8] The transfer matrix in four-dimensional CDT [J].

Ambjorn, J. ;

Gizbert-Studnicki, J. ;

Gorlich, A. T. ;

Jurkiewicz, J. .

JOURNAL OF HIGH ENERGY PHYSICS, 2012, (09)

[9] Nonperturbative quantum gravity [J].

Ambjorn, J. ;

Goerlich, A. ;

Jurkiewicz, J. ;

Loll, R. .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2012, 519 (4-5) :127-210

[10] The semiclassical limit of causal dynamical triangulations [J].

Ambjorn, J. ;

Gorlich, A. ;

Jurkiewicz, J. ;

Loll, R. ;

Gizbert-Studnicki, J. ;

Trzesniewski, T. .

NUCLEAR PHYSICS B, 2011, 849 (01) :144-165

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