Phys. Rev. Lett. 89, 230401 (2002) [4 pages]Limit Cycles in Quantum TheoriesSee Also: Erratum Received 1 May 2002; published 18 November 2002 Renormalization group limit cycles and more chaotic behavior may be commonplace for quantum Hamiltonians requiring renormalization, in contrast to experience based on classical models with critical behavior, where fixed points are far more common. We discuss the simplest quantum model Hamiltonian identified so far that exhibits a renormalization group with both limit cycle and chaotic behavior. The model is a discrete Hermitian matrix with two coupling constants, both governed by a nonperturbative renormalization group equation that involves changes in only one of these couplings and is soluble analytically. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.230401
DOI:
10.1103/PhysRevLett.89.230401
PACS:
05.10.Cc, 03.70.+k, 11.10.Hi
See AlsoErratum: Stanisław D. Głazek and Kenneth G. Wilson, Erratum: Limit Cycles In Quantum Theories [Phys. Rev. Lett. 89, 230401 (2002)], Phys. Rev. Lett. 92, 139901 (2004). |
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