论文标题
多叶晶格标量SO（NC）理论中的三维相变
Three-dimensional phase transitions in multiflavor lattice scalar SO(Nc) gauge theories
论文作者
论文摘要
我们研究了具有NF标量的三维标量SO（NC）仪表理论的相图和有限温度转变。这些模型是从最大的O（N） - 对称多组分标量模型（N = NC NF）开始的，其对称性分别以O（NF）或U（NF）或U（NF）或NC> 2或NC = 2的u（nf）或U（NF）或u（nf）全局对称性获得了SO（NC）仪表理论。这些系统经历了有限的温度转变，其中全局对称性被损坏。使用基于规格不变的订单参数和连续量表SO（NC）仪表理论，使用Landau-Ginzburg-Wilson（LGW）方法讨论其性质。 LGW方法预测该过渡是NF> 2的第一阶。对于NF = 2，预测过渡是连续的：它属于NC = 2的O（3）矢量通用类，并属于任何NC> 2的XY通用类别。我们对NC = 3和NF = 3和NF = 2,3进行了数值模拟。数值结果与LGW预测一致。
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.
