Kosterlitz-Thouless universality in dimer models
Kosterlitz-Thouless universality in dimer models
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二聚体模型中的 Kosterlitz-Thouless 普遍性
DOI：
10.1103/physrevd.68.091502
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发表时间：
2003
影响因子：
5
通讯作者：
C. Strouthos
中科院分区：
文献类型：
--
作者：
S. Chandrasekharan;C. Strouthos
利用具有交错费米子的强耦合$U(N)$晶格规范理论的单体-二聚体表示，研究了$2+1$维的有限温度手性相变。一种新的聚类算法允许我们在零单体密度（手性极限）下精确地计算大晶格上的单体-单体和二聚体-二聚体相关性。这使得我们第一次有可能令人信服地证明，这些模型经历了属于Kosterlitz-Thouless普适类的有限温度相变。我们发现相变在所有N值下都持续存在，但发生在临界温度${T}_{c}的不同值。此外，当${T/T}_{c}$保持固定时，通常用于大N极限的平均场分析失效。
Using the monomer-dimer representation of strongly coupled $U(N)$ lattice gauge theories with staggered fermions, we study finite temperature chiral phase transitions in $2+1$ dimensions. A new cluster algorithm allows us to compute monomer-monomer and dimer-dimer correlations at zero monomer density (chiral limit) accurately on large lattices. This makes it possible to show convincingly, for the first time, that these models undergo a finite temperature phase transition which belongs to the Kosterlitz-Thouless universality class. We find that the phase transition persists for all values of N, but occurs at different values of the critical temperature ${T}_{c}.$ Further, when ${T/T}_{c}$ is held fixed, the mean field analysis often used in the large N limit breaks down.