4 citations · 12 across the 3 of their papers we have counts for
12 papers
Simplified tetrahedron equations: Fermionic realization
J. Ambjorn, Sh. Khachatryan, A. Sedrakyan
The natural generalization of the (two-dimensional) Yang-Baxter equations to three dimensions is known as the Zamolodchikov's tetrahedron equations. We consider a simplified versio…
An Integrable Model with non-reducible three particle R-Matrix
J. Ambjorn, Sh. Khachatryan, A. Sedrakyan
We define an integrable lattice model which, in the notation of Yang, in addition to the conventional 2-particle -matrices also contains non-reducible 3-particle -matrices. T…
Strings, quantum gravity and non-commutative geometry on the lattice
J. Ambjorn
I review recent progress in understanding non-perturbative aspects of string theory, quantum gravity and non-commutative geometry using lattice methods.
3D Ising Model on Dual BCC Lattice: the Sign-Factor
J. Ambjorn, Sh. Khachatryan, A. Sedrakyan
The 3d Ising model on a regular cubic lattice can be expressed in terms of an SU(2) 2d fermionic model with a -fluxes. We modify the model such that it is defined on the dual…
Monte Carlo Studies of the Dimensionally Reduced 4d SU(N) Super Yang-Mills Theory
J. Ambjorn, K. N. Anagnostopoulos, W. Bietenholz +2
We simulate a supersymmetric matrix model obtained from dimensional reduction of 4d SU(N) super Yang-Mills theory. The model is well defined for finite N and it is found that the l…
Lorentzian and Euclidean Quantum Gravity - Analytical and Numerical Results
J. Ambjorn, J. Jurkiewicz, R. Loll
We review some recent attempts to extract information about the nature of quantum gravity, with and without matter, by quantum field theoretical methods. More specifically, we work…