7 papers
Recursive sampling simulations of 3D gravity coupled to scalar fermions
J. Ambjorn, D. V. Boulatov, N. Kawamoto +1
We study numerically the phase structure of a model of 3D gravity interacting with scalar fermions. We measure the 3D counterpart of the "string" susceptibility exponent as a funct…
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…