出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要:In the past the construction of Higgs-Yukawa models on the lattice was blocked by the lack of
a consistent definition of a chiral invariant Yukawa coupling term. Here, we consider a chiral
invariant Higgs-Yukawa model based on the overlap operator D(ov) realized by the Neuberger-
Dirac operator. As a first step towards a numerical examination of this model we study its phase
diagram by means of an analytic 1/Nf -expansion, which is possible for small and for large values
of the Yukawa coupling constant. In the case of strong Yukawa couplings the model effectively
becomes an O(4)-symmetric non-linear s-model.