三维格点多味标量色动力学：整体对称性与规范对称性的相互作用
Three-dimensional lattice multiflavor scalar chromodynamics: interplay between global and gauge symmetries
摘要：
本文研究了具有N_f味的三维标量色动力学有限温度跃迁的性质。这些模型是考虑最大O（M）对称的多分量标量模型构造的，模型的对称性被部分规范化以得到SU（N_c）规范理论，剩余的非交换整体对称性为U（N_f）（N_c>2）和Sp（N_f）（N_c=2），使得M = 2 N_c N_f。我们发现它们的有限温度跃迁对N_f=2是连续的，对我们所研究的所有N_c值，N_c= 2，3，4.这样的连续跃迁属于与理论的整体对称群相关的普适类。当N_c=2时，它属于SO（5）=Sp（2）/Z_2普适类;当N_c>2时，它属于SO（3）=SU（2）/Z_2普适类。当N_f>2时，跃迁总是一阶的.这些结果与用规范不变序参量的有效Landau-Ginzburg-Wilson方法得到的预测相匹配。我们的结果表明，非阿贝尔规范自由度是无关的过渡。这些结论得到了规范场相关关联函数分析的支持，即使在过渡区，关联函数也总是短范围的。
英文摘要：
We study the nature of the finite-temperature transition of the three-dimensional scalar chromodynamics with N_f flavors. These models are constructed by considering maximally O(M)-symmetric multicomponent scalar models, whose symmetry is partially gauged to obtain SU(N_c) gauge theories, with a residual nonabelian global symmetry given by U(N_f) for N_c>2 and Sp(N_f) for N_c=2, so that M = 2 N_c N_f. We find that their finite-temperature transition is continuous for N_f=2 and for all values of Nc we investigated, N_c=2,3,4. Such continuous transitions belong to universality classes related to the global symmetry group of the theory. For N_c=2 it belongs to the SO(5)=Sp(2)/Z_2 universality class, while for N_c>2 it belongs to the SO(3)=SU(2)/Z_2 universality class. For N_f>2, the transition is always of first order. These results match the predictions obtained by using the effective Landau-Ginzburg-Wilson approach in terms of a gauge-invariant order parameter. Our results indicate that the nonabelian gauge degrees of freedom are irrelevant at the transition. These conclusions are supported by an analysis of gauge-field dependent correlation functions, that are always short-ranged, even at the transition.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
