论文标题
耦合标量场系统的相变模式中的有限尺寸效应
Finite size effects in the phase transition patterns of coupled scalar field systems
论文作者
论文摘要
在这项工作中考虑了在有限尺寸和温度的组合效果下，耦合的两尺度场系统模型的相变模式。标量场被视为在d = 4欧几里得空间中传播，并在欧几里得时间方向（由温度倒数给定的尺寸）和在空间方向的紧凑尺寸下，在尺寸L。在后面的情况下，考虑到dirichlet边界条件。研究了对称恢复和对称性断裂的临界温度的有限尺寸变化。在固定的有限温度值下，与L大小L的反相关长度的变化可能显示出类似于重入相变的行为。还讨论了我们的结果在感兴趣的物理系统中的可能应用。
It is considered in this work the phase transition patterns for a coupled two-scalar field system model under the combined effects of finite sizes and temperature. The scalar fields are taken as propagating in a D=4 Euclidean space with the usual periodic compactification in the Euclidean time direction (with dimension given by the inverse of the temperature) and also under a compact dimension in the space direction, which is restricted to size L. In the latter case, a Dirichlet boundary condition is considered. Finite-size variation of the critical temperature for the cases of symmetry restoration and inverse symmetry breaking are studied. At fixed finite-temperature values, the variation of the inverse correlation lengths with the size L might display a behavior analogous to reentrant phase transitions. Possible applications of our results to physical systems of interest are also discussed.
