108 citations · 419 across the 13 of their papers we have counts for
10 papers · 1 filter
Quantum Mechanics, Random Matrices and BMN Gauge Theory
C. Kristjansen
We review how the identification of gauge theory operators representing string states in the pp-wave/BMN correspondence and their associated anomalous dimension reduces to the dete…
BMN Gauge Theory as a Quantum Mechanical System
N. Beisert, C. Kristjansen, J. Plefka +1
We rigorously derive an effective quantum mechanical Hamiltonian from N=4 gauge theory in the BMN limit. Its eigenvalues yield the exact one-loop anomalous dimensions of scalar two…
Generalized Lorentzian Triangulations and the Calogero Hamiltonian
P. Di Francesco, E. Guitter, C. Kristjansen
We introduce and solve a generalized model of 1+1D Lorentzian triangulations in which a certain subclass of outgrowths is allowed, the occurrence of these being governed by a coupl…
On the relation between Euclidean and Lorentzian 2D quantum gravity
J. Ambjorn, J. Correia, C. Kristjansen +1
Starting from 2D Euclidean quantum gravity, we show that one recovers 2D Lorentzian quantum gravity by removing all baby universes. Using a peeling procedure to decompose the discr…
Integrable 2D Lorentzian Gravity and Random Walks
P. Di Francesco, E. Guitter, C. Kristjansen
We introduce and solve a family of discrete models of 2D Lorentzian gravity with higher curvature, which possess mutually commuting transfer matrices, and whose spectral parameter…
The Two-point Function of c=-2 Matter Coupled to 2D Quantum Gravity
J. Ambjorn, C. Kristjansen, Y. Watabiki
We construct a reparametrization invariant two-point function for c=-2 conformal matter coupled to two-dimensional quantum gravity. From the two-point function we extract the criti…
Generalized Penner models to all genera
J. Ambjorn, Yu. Makeenko, C. F. Kristjansen
We give a complete description of the genus expansion of the one-cut solution to the generalized Penner model. The solution is presented in a form which allows us in a very straigh…
4D Quantum Gravity Coupled to Matter
J. Ambjorn, Z. Burda, J. Jurkiewicz +1
We investigate the phase structure of four-dimensional quantum gravity coupled to Ising spins or Gaussian scalar fields by means of numerical simulations. The quantum gravity part…
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…
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…