多味格点标量SO（Nc）规范理论中的三维相变
Three-dimensional phase transitions in multiflavor lattice scalar SO(Nc) gauge theories
摘要：
研究了具有Nf标量味的三维标量SO（Nc）规范理论的相图和有限温度跃迁。这些模型是从一个最大O（N）对称的多组分标量模型（N = Nc Nf）出发构造的，其对称性被部分规范化以得到一个SO（Nc）规范理论，当Nc > 2或Nc = 2时，其整体对称性分别为O（Nf）或U（Nf）.这些系统经历有限的温度转变，在那里全局对称性被打破。基于规范不变的序参量和连续统标量SO（Nc）规范理论，用朗道-金兹伯格-威尔逊（LGW）方法讨论了它们的性质. LGW方法预测，当Nf > 2时，跃迁是一阶的。对于Nf = 2，跃迁被预测为连续的：对于Nc=2，它属于O（3）矢量普适类，对于任何Nc > 2，它属于XY普适类。我们对Nc = 3和Nf = 2，3进行了数值模拟。数值结果与LGW的预测一致。
英文摘要：
We investigate the phase diagram and finite-temperature transitions of three-dimensional scalar SO(Nc) gauge theories with Nf scalar flavors. These models are constructed starting from a maximally O(N)-symmetric multicomponent scalar model (N = Nc Nf), whose symmetry is partially gauged to obtain an SO(Nc) gauge theory, with O(Nf) or U(Nf) global symmetry for Nc > 2 or Nc = 2, respectively. These systems undergo finite-temperature transitions, where the global symmetry is broken. Their nature is discussed using the Landau-Ginzburg-Wilson (LGW) approach, based on a gauge-invariant order parameter, and the continuum scalar SO(Nc) gauge theory. The LGW approach predicts that the transition is of first order for Nf > 2. For Nf = 2 the transition is predicted to be continuous: it belongs to the O(3) vector universality class for Nc=2 and to the XY universality class for any Nc > 2. We perform numerical simulations for Nc = 3 and Nf = 2,3. The numerical results are in agreement with the LGW predictions.
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