2007/04/18 by Christof Gattringer, Verena Hermann, Markus Limmer
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics #cond-mat.str-el #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevd.76.014503
published as Phys.Rev.D76:014503,2007
arxiv created 2007/04/18 · openalex publication_date 2007/07/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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. In the loop representation a different type of boundary condition appears: sectors of constant winding number. We demonstrate that the new formulation allows one to simulate volumes which are 2 orders of magnitude larger than those accessible with standard methods.