出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：Using orbifold techniques I construct the Schrödinger 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, dened with either boundary conditions,
must have a unique continuum limit. Similarly, SF correlation functions in twisted mass QCD
and standard QCD can be dened such that they share a common continuum limit. An additional
benet 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 rst application we calculate the running coupling for Nf = 2
avours in the SF-scheme to one-loop order of perturbation theory. Universality of the continuum
limit is conrmed and the irrelevance of the Sheikholeslami-Wohlert term in the action is
demonstrated explicitly.
