6 papers · 1 filter
The Spectral Dimension of 2D Quantum Gravity
J. Ambjorn, D. Boulatov, J. L. Nielsen +2
We show that the spectral dimension d_s of two-dimensional quantum gravity coupled to Gaussian fields is two for all values of the central charge c <= 1. The same arguments provide…
One-dimensional dynamics of QCD2 string
D. V. Boulatov
We show that QCD on 2D pseudo-manifolds is consistent with the Gross-Taylor string picture. It allows us to introduce a model describing the one-dimensional evolution of the QC…
Wilson loop on a sphere
D. V. Boulatov
We give the formula for a simple Wilson loop on a sphere which is valid for an arbitrary QCD saddle-point : \mbox{$W(A_1,A_2)=\oint \frac{dx}{2πi} \exp(\int dy \frac{ρ(y)…
Infinite Tension Strings at D>1
D. V. Boulatov
A matrix model describing surfaces embedded in a Bethe lattice is considered. From the mean field point of view, it is equivalent to the Kazakov-Migdal induced gauge theory and the…
q-deformed lattice gauge theory and 3-manifold invariants
D. V. Boulatov
The notion of -deformed lattice gauge theory is introduced. If the deformation parameter is a root of unity, the weak coupling limit of a 3- partition function gives a topolo…
A Model of Three-Dimensional Lattice Gravity
D. Boulatov
A model is proposed which generates all oriented simplicial complexes weighted with an invariant associated with a topological lattice gauge theory. When the gauge group is $S…