出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要:We investigate the continuum limit of the rooted staggered action in the 2-dimensional Schwinger
model. We match both the unrooted and rooted staggered determinants with an overlap fermion
determinant of two (one) flavors and a local pure gauge effective action by fitting the coefficients
of the effective action and the mass of the overlap operator. The residue of this fit measures the
difference of the staggered and overlap fermion actions. We show that this residue scales at least
as O(a2), implying that any difference, be it local or non-local, between the staggered and overlap
actions becomes irrelevant in the continuum limit. For the model under consideration here, this
observation justifies the rooting procedure for the staggered sea quark action.