Limit cycles in quantum theories.
Limit cycles in quantum theories.
复制标题
量子理论中的极限环。
DOI：
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发表时间：
2002
影响因子：
8.6
通讯作者：
K. Wilson
中科院分区：
文献类型：
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作者：
S. Glazek;K. Wilson
对于需要重整化的量子哈密顿来说，重整化群极限环和更多的混沌行为可能是司空见惯的，这与基于具有临界行为的经典模型的经验形成对比，在经典模型中，固定点要常见得多。我们讨论了到目前为止发现的最简单的量子模型哈密顿量，它展示了一个既有极限环又有混沌行为的重整化群。该模型是一个具有两个耦合常数的离散厄米矩阵，它们都由一个非微扰重整化群方程控制，该方程只涉及其中一个耦合的变化，并且是解析可解的。
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.