43 citations · 43 across the 2 of their papers we have counts for
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Simulations of Discrete Random Geometries: Simplicial Quantum Gravity and Quantum String Theory
Joachim Tabaczek
I investigate two discrete models of random geometries, namely simplicial quantum gravity and quantum string theory. In four-dimensional simplicial quantum gravity, I show that the…
Geometry of Reduced Supersymmetric 4D Yang-Mills Integrals
Z. Burda, B. Petersson, J. Tabaczek
We study numerically the geometric properties of reduced supersymmetric non-compact SU(N) Yang-Mills integrals in D=4 dimensions, for N = 2,3, ..., 8. We show that in the range of…
Large N limit of the IKKT matrix model
P. Bialas, Z. Burda, B. Petersson +1
Using the dynamical triangulation approach we perform a numerical study of a supersymmetric random surface model that corresponds to the large N limit of the four-dimensional versi…
The Strong-Coupling Expansion in Simplicial Quantum Gravity
S. Bilke, Z. Burda, A. Krzywicki +4
We construct the strong-coupling series in 4d simplicial quantum gravity up to volume 38. It is used to calculate estimates for the string susceptibility exponent gamma for various…
4d Simplicial Quantum Gravity: Matter Fields and the Corresponding Effective Action
S. Bilke, Z. Burda, A. Krzywicki +3
Four-dimensional simplicial quantum gravity is modified either by coupling it to U(1) gauge fields or by introducing a measure weighted by the orders of the triangles. Strong coupl…
Appearence of Mother Universe and Singular Vertices in Random Geometries
P. Bialas, Z. Burda, B. Petersson +1
We discuss a general mechanism that drives the phase transition in the canonical ensemble in models of random geometries. As an example we consider a solvable model of branched pol…