论文标题
一维ISING和旋转器模型II的分解II：连续与离散对称性
Decimations for One- and Two-dimensional Ising and Rotator Models II: Continuous versus Discrete Symmetries
论文作者
论文摘要
我们展示了如何衰减的Gibbs测量，尽管他们的离散等效物具有相变，但由于Mermin-Wagner定理而导致的连续对称性不平衡，但仍然可以变成非gibbsian。一旦模型在适当选择的“不良”构型中受到衰减的旋转的约束，该机制就基于以断裂的离散对称性的自旋流动过渡的出现。
We show how decimated Gibbs measures which have an unbroken continuous symmetry due to the Mermin-Wagner theorem, although their discrete equivalents have a phase transition, still can become non-Gibbsian. The mechanism rests on the occurrence of a spin-flop transition with a broken discrete symmetry, once the model is constrained by the decimated spins in a suitably chosen "bad" configuration.
