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From Large N Matrices to the Noncommutative Torus
G. Landi, F. Lizzi, R. J. Szabo
We describe how and to what extent the noncommutative two-torus can be approximated by a tower of finite-dimensional matrix geometries. The approximation is carried out for both ir…
Finite N Matrix Models of Noncommutative Gauge Theory
J. Ambjorn, Y. M. Makeenko, J. Nishimura +1
We describe a unitary matrix model which is constructed from discrete analogs of the usual projective modules over the noncommutative torus and use it to construct a lattice versio…
Static Potential in N=4 Supersymmetric Yang-Mills Theory
J. K. Erickson, G. W. Semenoff, R. J. Szabo +1
We compute the leading order perturbative correction to the static potential in supersymmetric Yang-Mills theory. We show that the perturbative expansion contains infr…
Bottleneck Surfaces and Worldsheet Geometry of Higher-Curvature Quantum Gravity
Richard J. Szabo, John F. Wheater
We describe a simple lattice model of higher-curvature quantum gravity in two dimensions and study the phase structure of the theory as a function of the curvature coupling. It is…
Non-linear Schroedinger Dynamics of Matrix D-branes
Nick E. Mavromatos, Richard J. Szabo
We formulate an effective Schroedinger wave equation describing the quantum dynamics of a system of D0-branes by applying the Wilson renormalization group equation to the worldshee…
Topological Field Theory and Quantum Holonomy Representations of Motion Groups
Richard J. Szabo
Canonical quantization of abelian BF-type topological field theory coupled to extended sources on generic d-dimensional manifolds and with curved line bundles is studied. Sheaf coh…