Heidelberg 2007 – scientific programme
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T: Fachverband Teilchenphysik
T 208: Gittereichtheorie
T 208.1: Talk
Tuesday, March 6, 2007, 16:45–17:00, KIP SR 2.403
On the phase structure of a chiral invariant Higgs-Yukawa model — •Philipp Gerhold1 and Karl Jansen2 — 1Humboldt-Universität Berlin, Newtonstr. 15, 12489 Berlin — 2John von Neumann Institute for computing, NIC, Platanenallee 6, 15738 Zeuthen
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 analytically in the large Nf-limit, 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 σ-model. The analytically obtained phase diagram is in good agreement with corresponding Monte-Carlo simulations.