scholarly journals Block Renormalization within Dynamical Triangulation Formalism of Two-Dimensional Quantum Gravity

1993 ◽  
Vol 114 ◽  
pp. 19-22 ◽  
Author(s):  
Jun Nishimura ◽  
Noritsugu Tsuda ◽  
Tetsuyuki Yukawa
Keyword(s):  
Quantum Gravity ◽  
Two Dimensional ◽  
Dynamical Triangulation

scholarly journals A toy model of discretized gravity in two dimensions and its extensions

2017 ◽  
Vol 32 (28) ◽  
pp. 1750149
Author(s):  
Marcello Rotondo ◽  
Shin’ichi Nojiri
Keyword(s):  
Quantum Gravity ◽  
Continuum Limit ◽  
Higher Dimensions ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Expectation Value ◽  
Dynamical Triangulation ◽  
Physical Quantities ◽  
Euclidean Signature

We propose a toy model of quantum gravity in two dimensions with Euclidean signature. The model is given by a kind of discretization which is different from the dynamical triangulation. We show that there exists a continuum limit and we can calculate some physical quantities such as the expectation value of the area, that is, the volume of the two-dimensional Euclidean spacetime. We also consider the extensions of the model to higher dimensions.

GEOMETRIC CHARACTERIZATION OF STATES IN TWO-DIMENSIONAL QUANTUM GRAVITY

1990 ◽  
Vol 05 (12) ◽  
pp. 965-977 ◽  
Author(s):  
MICHAEL E. AGISHTEIN ◽  
LAURENCE JACOBS ◽  
ALEXANDER A. MIGDAL ◽  
JOHN L. RICHARDSON
Keyword(s):  
Quantum Gravity ◽  
Large Scale ◽  
Geometric Characterization ◽  
Two Dimensional ◽  
Internal Geometry ◽  
Internal Radius ◽  
First Results ◽  
Internal Volume ◽  
Dynamical Triangulation

We report first results of a large-scale simulation of two-dimensional quantum gravity using the dynamical triangulation model for systems of up to sixteen thousand triangles. Our results for the internal geometry show an unexpectedly complicated behavior of the internal volume as function of the internal radius. A simple fractal characterization is inadequate to describe the geometry of the states in the system.

TENSOR MODEL FOR GRAVITY AND ORIENTABILITY OF MANIFOLD

1991 ◽  
Vol 06 (28) ◽  
pp. 2613-2623 ◽  
Author(s):  
NAOKI SASAKURA
Keyword(s):  
Quantum Gravity ◽  
Hermitian Matrix ◽  
Three Dimensional ◽  
Tensor Model ◽  
Two Dimensional ◽  
Tensor Models ◽  
Arbitrary Dimensions ◽  
Dynamical Triangulation ◽  
Hermitian Matrix Model ◽  
Special Case

We investigate the relation between rank-three tensor models and the dynamical triangulation model of three-dimensional quantum gravity, and discuss the orientability of the manifold and the corresponding tensor models. We generalize the orientable tensor models to arbitrary dimensions, which include the two-dimensional Hermitian matrix model as a special case.

A COMPACT BOSON COUPLED TO TWO-DIMENSIONAL GRAVITY

1991 ◽  
Vol 06 (15) ◽  
pp. 2743-2754 ◽  
Author(s):  
NORISUKE SAKAI ◽  
YOSHIAKI TANII
Keyword(s):  
Field Theory ◽  
Partition Function ◽  
Quantum Gravity ◽  
Matrix Models ◽  
Riemann Surfaces ◽  
Partition Functions ◽  
Two Dimensional ◽  
Dimensional Gravity ◽  
The Continuum ◽  
Continuum Field

The radius dependence of partition functions is explicitly evaluated in the continuum field theory of a compactified boson, interacting with two-dimensional quantum gravity (noncritical string) on Riemann surfaces for the first few genera. The partition function for the torus is found to be a sum of terms proportional to R and 1/R. This is in agreement with the result of a discretized version (matrix models), but is quite different from the critical string. The supersymmetric case is also explicitly evaluated.

Two-dimensional quantum gravity in the conformal gauge

1990 ◽  
Vol 42 (4) ◽  
pp. 1144-1146 ◽  
Author(s):  
Chang Jun Ahn ◽  
Young Jai Park ◽  
Kee Yong Kim ◽  
Yongduk Kim ◽  
Won Tae Kim ◽  
...  
Keyword(s):  
Quantum Gravity ◽  
Two Dimensional ◽  
Conformal Gauge

scholarly journals Quantum gravity as a multitrace matrix model

2017 ◽  
Vol 32 (31) ◽  
pp. 1750180
Author(s):  
Badis Ydri ◽  
Cherine Soudani ◽  
Ahlam Rouag
Keyword(s):  
Quantum Gravity ◽  
Matrix Models ◽  
Large Class ◽  
Matrix Model ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Topology Change ◽  
New Model ◽  
And Topology ◽  
Emergent Geometry

We present a new model of quantum gravity as a theory of random geometries given explicitly in terms of a multitrace matrix model. This is a generalization of the usual discretized random surfaces of two-dimensional quantum gravity which works away from two dimensions and captures a large class of spaces admitting a finite spectral triple. These multitrace matrix models sustain emergent geometry as well as growing dimensions and topology change.

The partition function of two-dimensional quantum gravity

1989 ◽  
Vol 233 (1-2) ◽  
pp. 79-84 ◽  
Author(s):  
M.A. Awada ◽  
A.H. Chamseddine
Keyword(s):  
Partition Function ◽  
Quantum Gravity ◽  
Two Dimensional
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