标题： 具有手征旋转边界条件的薛定谔泛函 显示英文标题

标题： The Schrodinger functional with chirally rotated boundary conditions

摘要： 利用orbifold技术，我构建了双味Wilson夸克的薛定谔泛函（SF），采用了手征旋转边界条件。 这使得验证普适性成为可能：例如，用任意一种边界条件定义的重整化薛定谔泛函耦合常数必须具有唯一的连续极限。 类似地，扭曲质量QCD和标准QCD中的薛定谔泛函关联函数可以被定义，使得它们共享一个共同的连续极限。 新设定的另一个好处在于观察到作用量和复合算符的所有内部O(a)反项在手征极限下变得无关紧要。 这意味着（比值的）薛定谔泛函重整化常数可以自动达到O(a)改善，直到不可避免的边界反项的影响。 作为第一个应用，我们计算了Nf=2味在SF方案下的跑动耦合常数，达到了微扰理论的一阶精度。 证实了连续极限的普适性，并明确演示了作用量中Sheikholeslami-Wohlert项的无关性。 显示英文摘要

摘要： Using orbifold techniques I construct the Schrodinger functional (SF) for a doublet of Wilson quarks with chirally rotated boundary conditions. This allows to perform checks of universality: for instance, the renormalized SF coupling constant, defined with either boundary conditions, must have a unique continuum limit. Similarly, SF correlation functions in twisted mass QCD and standard QCD can be defined such that they share a common continuum limit. An additional benefit of the new set-up consists in the observation that all the bulk O(a) counterterms to the action and composite operators become irrelevant in the chiral limit. This implies that (ratios of) SF renormalization constants can be automatically O(a) improved, up to the effect of unavoidable boundary counterterms. As a first application we calculate the running coupling for Nf=2 flavours in the SF-scheme to one-loop order of perturbation theory. Universality of the continuum limit is confirmed and the irrelevance of the Sheikholeslami-Wohlert term in the action is demonstrated explicitly