386 citations · 5.6k across the 175 of their papers we have counts for
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The 3d Ising Model represented as Random Surfaces
J. Ambjorn, A Sedrakyan, G. Thorleifsson
We consider a random surface representation of the three-dimensional Ising model.The model exhibit scaling behaviour and a new critical index $\k$ which relates $\g_{string}$ for t…
Quantum Gravity, Dynamical Triangulation and Higer Derivative Regularization
J. Ambjorn, J. Jurkiewicz, C. F. Kristjansen
We consider a discrete model of euclidean quantum gravity in four dimensions based on a summation over random simplicial manifolds. The action used is the Einstein-Hilbert action p…
Topography of the hot sphaleron Transitions
J. Ambjorn, K. Farakos
By numerical simulations in {\it real time} we provide evidence in favour of sphaleron like transitions in the hot, symmetric phase of the electroweak theory. Earlier performed obs…
Higher Genus Correlators for the Complex Matrix Model
J. Ambjorn, C. F. Kristjansen, Y. M. Makeenko
We describe an iterative scheme which allows us to calculate any multi-loop correlator for the complex matrix model to any genus using only the first in the chain of loop equations…
Parity breaking at high temperature and density
J. Ambjørn, K. Farakos, M. E. Shaposhnikov
We investigate the question of parity breaking in three-dimensional Euclidean SU(2) gauge-Higgs theory by Monte Carlo simulations. We observe no sign of spontaneous parity breaking…
3d quantum gravity coupled to matter
J. Ambjorn, Z. Burda, J. Jurkiewicz +1
We investigate the phase structure of three-dimensional quantum gravity coupled to an Ising spin system by means of numerical simulations. The quantum gravity part is modelled by t…
Non-perturbative 2d quantum gravity and hamiltonians unbounded from below
J. Ambjorn, C. F. Kristjansen
We show how the stochastic stabilization provides both the weak coupling genus expansion and a strong coupling expansion of 2d quantum gravity. The double scaling limit is describe…
Higher Genus Correlators from the Hermitian One-Matrix Model
J. Ambjorn, L. Chekhov, Yu. Makeenko
We develop an iterative algorithm for the genus expansion of the hermitian one-matrix model ( = the Penner model in an external field). By introducing moments of the ex…