论文标题
Q状态POTT和时钟模型的完整密度计算：对称性破裂下界面密度的重新进入
Complete Density Calculations of q-State Potts and Clock Models: Reentrance of Interface Densities under Symmetry Breaking
论文作者
论文摘要
所有局部债券状态密度均在三个空间维度的Q状态POTT和时钟模型中计算出D = 3。计算是由一个精确的重新归一化组在分层晶格上（包括密度递归关系）上完成的，同时是Cubic晶格的Migdal-Kadanoff近似。在对称破裂下的界面密度中发现了重进入行为，从某种意义上说，在降低温度时，密度首先增加，然后在零温度下降至其零值。对于这种行为，提出了一种物理机制。发现了两个模型的相变之间的对比，并通过对齐和熵进行解释，因为状态Q的数量是无穷大的。对于时钟模型，最多使用二十个能量的重归其化组流量。
All local bond-state densities are calculated for q-state Potts and clock models in three spatial dimensions, d=3. The calculations are done by an exact renormalization group on a hierarchical lattice, including the density recursion relations, and simultaneously are the Migdal-Kadanoff approximation for the cubic lattice. Reentrant behavior is found in the interface densities under symmetry breaking, in the sense that upon lowering temperature the value of the density first increases, then decreases to its zero value at zero temperature. For this behavior, a physical mechanism is proposed. A contrast between the phase transition of the two models is found, and explained by alignment and entropy, as the number of states q goes to infinity. For the clock models, the renormalization-group flows of up to twenty energies are used.
