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Showing 2007 · math-phShow all
3 papers · 2 filters
math-ph2007★ 4 cited
On the large N expansion in hyperbolic sigma-models
Max Niedermaier, Erhard Seiler
Invariant correlation functions for hyperbolic sigma-models are investigated. The existence of a large asymptotic expansion is proven on finite lattices of dime…
math-ph2007★ 11 cited
On Painleve VI transcendents related to the Dirac operator on the hyperbolic disk
O. Lisovyy
Dirac hamiltonian on the Poincare disk in the presence of an Aharonov-Bohm flux and a uniform magnetic field admits a one-parameter family of self-adjoint extensions. We determine…
math-ph2007★ 12 cited
Aharonov-Bohm effect on the Poincaré disk
O. Lisovyy
We consider formal quantum hamiltonian of a charged particle on the Poincaré disk in the presence of an Aharonov-Bohm magnetic vortex and a uniform magnetic field. It is shown that…