Cluster simulation of relativistic fermions in two space-time dimensions

Details Cluster simulation of relativistic fermions in two space-time dimensions Cluster simulation of relativistic fermions in two space-time dimensions

2007-07-19

arxiv.org/abs/0707.2872v2

Nucl.Phys.B789:258-276,2008

Physics

High Energy Physics

High Energy Physics - Lattice

24 pages, 3 figures: tiny changes, mainly typos

Scientific paper

10.1016/j.nuclphysb.2007.08.006

For Majorana-Wilson lattice fermions in two dimensions we derive a dimer representation. This is equivalent to Gattringer's loop representation, but is made exact here on the torus. A subsequent dual mapping leads to yet another representation in which a highly efficient Swendsen-Wang type cluster algorithm is constructed. It includes the possibility of fluctuating boundary conditions. It also allows for improved estimators and makes interesting new observables accessible to Monte Carlo. The algorithm is compatible with the Gross-Neveu as well as an additional Z(2) gauge interaction. In this article numerical demonstrations are reported for critical free fermions.

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