scholarly journals Matrix models, quantum gravity and the spectral dimension

2005 ◽  
Author(s):  
Fermin Viniegra ◽  
Michael J. Peardon ◽  
Sinead Ryan
Keyword(s):  
Quantum Gravity ◽  
Matrix Models ◽  
Spectral Dimension

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.

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.

scholarly journals Spectral dimension on spatial hypersurfaces in causal set quantum gravity

2019 ◽  
Vol 36 (23) ◽  
pp. 235013 ◽  
Author(s):  
Astrid Eichhorn ◽  
Sumati Surya ◽  
Fleur Versteegen
Keyword(s):  
Quantum Gravity ◽  
Spectral Dimension

scholarly journals Spectral Dimension of Liouville Quantum Gravity

2013 ◽  
Vol 15 (12) ◽  
pp. 2281-2298 ◽  
Author(s):  
Rémi Rhodes ◽  
Vincent Vargas
Keyword(s):  
Quantum Gravity ◽  
Spectral Dimension

UNIVERSALITY OF THE VACUA OF THE STOCHASTIC STABILIZED 2-D QUANTUM GRAVITY

1995 ◽  
Vol 10 (34) ◽  
pp. 2589-2597 ◽  
Author(s):  
OSCAR DIEGO
Keyword(s):  
Nonperturbative Effects ◽  
Quantum Gravity ◽  
Matrix Models ◽  
Stochastic Stabilization ◽  
The Matrix

In this letter we study the universality of the nonperturbative effects and the vacua structure of the stochastic stabilization of the matrix models which defines pure 2-D quantum gravity.

Gravité quantique et modèles de matrices

1991 ◽  
Vol 69 (7) ◽  
pp. 837-854 ◽  
Author(s):  
David Sénéchal
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Quantum Gravity ◽  
Orthogonal Polynomials ◽  
Matrix Models ◽  
Continuum Limit ◽  
Two Dimensional ◽  
Planar Approximation ◽  
Conformal Field ◽  
The Matrix

A review of the main results recently obtained in the study of two-dimensional quantum gravity is offered. The analysis of two-dimensional quantum gravity by the methods of conformal field theory is briefly described. Then the treatment of quantum gravity in terms of matrix models is explained, including the notions of continuum limit, planar approximation, and orthogonal polynomials. Correlation fonctions are also treated, as well as phases of the matrix models.

scholarly journals Spectral dimension in causal set quantum gravity

2014 ◽  
Vol 31 (12) ◽  
pp. 125007 ◽  
Author(s):  
Astrid Eichhorn ◽  
Sebastian Mizera
Keyword(s):  
Quantum Gravity ◽  
Spectral Dimension
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