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arXiv · 0704.2277

Fermion loop simulation of the lattice Gross-Neveu model

Christof Gattringer·Verena Hermann·Markus Limmer
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Abstract

We present a numerical simulation of the Gross-Neveu model on the lattice using a new representation in terms of fermion loops. In the loop representation all signs due to Pauli statistics are eliminated completely and the partition function is a sum over closed loops with only positive weights. We demonstrate that the new formulation allows to simulate volumes which are two orders of magnitude larger than those accessible with standard methods.

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Christof Gattringer, Verena Hermann, Markus Limmer. 2007-04-18. Fermion loop simulation of the lattice Gross-Neveu model. https://doi.org/10.1103/physrevd.76.014503

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