出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：A consistent subtraction procedure of the infinities in the massive Yang-Mills theory (a nonrenormalizable model), recently proposed, appears to be doable only via dimensional regularization and moreover to face problems with unitarity (a remnant of nonrenormalizability). Here we show how the lattice regularization turns out to be a promising tool for shedding some light on both problems. We consider a lattice model for the massive YM theory with a Wilsonian action plus a term, which yields the Stückelberg mass invariant in the naïve continuum limit. After a birds-eyed view of the parameters space (coupling constant and mass) we study the property of the phases. Suitable gauge invariant fields are introduced and their correlators are calculated. Some informations can be obtained from the energy gaps. The results of this investigation are positive both for the lattice regularization of the massive YM akin to the dimensional subtraction and for the question of unitarity.
