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Cluster simulation of two-dimensional relativistic fermions

Presenter: Ulli Wolff — Humboldt University

Ulli Wolff

Gattringer's loop representation for the Gross Neveu model is rederived emphasizing the role of Majorana fermions and is made exact also for tori of finite physical size. A further transformation to a generalized Ising model – in some sense dual to the original Majorana fermions – allows for the construction of a cluster algorithm. It is demonstrated to be practically free of critical slowing down. In addition the new formulation makes interesting new observables accessible to precise simulations.