Cluster simulation of relativistic fermions in two space-time dimensions

Abstract

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.

24 pages, 3 figures: tiny changes, mainly typos

References in corpus (5)

• Monte Carlo errors with less errors
• Two Loop Computation of the Schroedinger Functional in Lattice QCD
• Dual Computations of Non-abelian Yang-Mills on the Lattice
• Loop representation for 2-D Wilson lattice fermions in a scalar background field
• Fermion loop simulation of the lattice Gross-Neveu model

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