Fermion loop simulation of the lattice Gross-Neveu model

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...

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Published in:arXiv.org 2007-04
Main Authors: Gattringer, Christof, Hermann, Verena, Limmer, Markus
Format: Article
Language:English
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Closed loops
Computer simulation
Fermions
Mathematical models
Partitions (mathematics)
Representations
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Hermann, Verena
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description 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.
doi_str_mv 10.48550/arxiv.0704.2277
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subjects Closed loops
Computer simulation
Fermions
Mathematical models
Partitions (mathematics)
Representations
title Fermion loop simulation of the lattice Gross-Neveu model
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