二维Landau规范Yang-Mills理论中的二点和三点格林函数
Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
摘要：
利用格点规范理论研究了二维SU（2）Yang-Mills理论在（最小）Landau规范下的鬼胶子传播子和鬼胶子传播子以及鬼胶子顶点和三胶子顶点.结果发现，定性相似的三维和四维的。传播算子和Faddeev-Popov算子的行为符合Gribov-Zwanziger场景的预期。此外，有限体积效应影响这些格林函数进行了系统的研究。利用随机量子化和Dyson-Schwinger方程计算得到的传播子的临界红外指数得到了定量的证实。为此，我们使用了体积高达（42.7 fm）^2的晶格。
英文摘要：
The ghost and gluon propagator and the ghost-gluon and three-gluon vertex of two-dimensional SU(2) Yang-Mills theory in (minimal) Landau gauge are studied using lattice gauge theory. It is found that the results are qualitatively similar to the ones in three and four dimensions. The propagators and the Faddeev-Popov operator behave as expected from the Gribov-Zwanziger scenario. In addition, finite volume effects affecting these Green's functions are investigated systematically. The critical infrared exponents of the propagators, as proposed in calculations using stochastic quantization and Dyson-Schwinger equations, are confirmed quantitatively. For this purpose lattices of volume up to (42.7 fm)^2 have been used.
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