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Geometrical String and Spin Systems
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We formulate a new geometrical string on the euclidean lattice. It is possible to find such spin systems with local interaction which reproduce the same surface dynamics.In the three-dimensional case this spin system is a usual Ising ferromagnet with additional diagonal antiferromagnetic interaction and with specially adjusted coupling constants. In the four-dimensional case the spin system coincides with the gauge Ising system with an additional double-plaquette interaction and also with specially tuned coupling constants. We extend this construction to random walks and random hypersurfaces (membrane and p-branes) of high dimensionality. We compare these spin systems with the eight-vertex model and BNNNI models.
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Condensation of Magnetic Fluxes and Landscape of QCD Vacuum
The author exhibits sourceless Yang-Mills configurations with constant energy density and singular gauge potentials, and claims they are degenerate vacua separated by potential barriers.
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