共形规范理论中ψ-ψ反常维数的精确确定
A precise determination of the psibar-psi anomalous dimension in conformal gauge theories
摘要：
本文讨论了红外共形规范理论中由格点模拟计算不动点处的ψ-ψ反常维数的一种策略。该方法是基于Dirac算子的谱密度的标度，或者更确切地说，它的积分，模数。它相对便宜，主要有两个原因：（a）模数可以相当高的精度确定，（b）从同一组配置上的几个观测值的拟合中提取出psibar-psi反常维数（不需要拉格朗日参数的缩放）。作为一个例子，在SU（2）理论中，在规范群的伴随表象中有2个狄拉克费米子，计算了psibar-psi反常维数，结果为0.371（20）。在这一特殊情况下，拟议战略已被证明是非常强大和有效的。
英文摘要：
A strategy for computing the psibar-psi anomalous dimension at the fixed point in infrared-conformal gauge theories from lattice simulations is discussed. The method is based on the scaling of the spectral density of the Dirac operator or rather its integral, the mode number. It is relatively cheap, mainly for two reasons: (a) the mode number can be determined with quite high accuracy, (b) the psibar-psi anomalous dimension is extracted from a fit of several observables on the same set of configurations (no scaling in the Lagrangian parameters is needed). As an example the psibar-psi anomalous dimension has been computed in the SU(2) theory with 2 Dirac fermions in the adjoint representation of the gauge group, and has been found to be 0.371(20). In this particular case, the proposed strategy has proved to be very robust and effective.
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。
