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Lyapunov bounds for lattice gauge dynamics
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UNSPECIFIED (1999) Lyapunov bounds for lattice gauge dynamics. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 200 (2). pp. 487-494. ISSN 0010-3616.
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Abstract
We study the classical Hamiltonian dynamics of the Kogut-Susskind model for lattice gauge theories on a finite box in a d-dimensional integer lattice. The coupling constant for the plaquette interaction is denoted lambda(2). When the gauge group is a real or a complex subgroup of a unitary matrix group U(N), N greater than or equal to 1, we show that the maximal Lyapunov exponent is bounded by 2 lambda root d-1, uniformly in the size of the lattice, the energy of the system as well. as the order, N, of the gauge group.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||
| Journal or Publication Title: | COMMUNICATIONS IN MATHEMATICAL PHYSICS | ||||
| Publisher: | SPRINGER VERLAG | ||||
| ISSN: | 0010-3616 | ||||
| Official Date: | February 1999 | ||||
| Dates: |
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| Volume: | 200 | ||||
| Number: | 2 | ||||
| Number of Pages: | 8 | ||||
| Page Range: | pp. 487-494 | ||||
| Publication Status: | Published |
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