Lyapunov bounds for lattice gauge dynamics (Q1284080)

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scientific article; zbMATH DE number 1271625
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Lyapunov bounds for lattice gauge dynamics
scientific article; zbMATH DE number 1271625

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    Lyapunov bounds for lattice gauge dynamics (English)
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    13 December 1999
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    The author considers classical Hamiltonian dynamics of the Kogut-Susskind model for gauge theories on a lattice. He studies the case of a finite box with \(d\)-dimensional integer lattice and proves that in the case of a real or complex subgroup of the unitary matrix group \(U(N)\) the maximal Lyapunov exponent is bounded by \(2\sqrt {d-1}\) times the square root of the plaquette interaction coupling constant.
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    lattice models
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    Kogut-Susskind model
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    gauge theories
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    Lyapunov exponent
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