Fermion loop simulation of the lattice Gross-Neveu model

Details Fermion loop simulation of the lattice Gross-Neveu model Fermion loop simulation of the lattice Gross-Neveu model

2007-04-18

arxiv.org/abs/0704.2277v1

Phys.Rev.D76:014503,2007

Physics

High Energy Physics

High Energy Physics - Lattice

Scientific paper

10.1103/PhysRevD.76.014503

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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