论文标题
三维晶格多叶片标量染色体动力学：全球和量规对称性之间的相互作用
Three-dimensional lattice multiflavor scalar chromodynamics: interplay between global and gauge symmetries
论文作者
论文摘要
我们研究具有N_F口味的三维标量染色体动力学的有限温度过渡的性质。这些模型是通过考虑最大o（M） - 对称多组分标量模型来构建的，该模型的对称性被测量以获得SU（N_C）仪表理论，而N_C> 2和sp（n_f）的u（n_f）为n_c = 2和n_c = 2提供了u（n_f）的残留nonabelian全球对称性。我们发现，对于N_F = 2，它们的有限温度转变是连续的，并且对于我们研究的所有NC值，N_C = 2,3,4。这种连续的过渡属于与该理论的全球对称群有关的普遍类别。对于N_C = 2，它属于SO（5）= SP（2）/Z_2通用类，而对于N_C> 2，它属于SO（3）= SU（3）= SU（2）/Z_2通用类。对于N_F> 2，过渡始终是一阶。这些结果与使用有效的Landau-Ginzburg-Wilson方法获得的预测相匹配。我们的结果表明，非亚伯仪的自由度在过渡时期无关。这些结论得到了对量规依赖性相关函数的分析，即使在过渡中，这些函数也总是短距离的。
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.
