Fermion loop simulation of the lattice Gross-Neveu model
arXiv:0704.2277 · doi:10.1103/PhysRevD.76.014503
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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- Gauge and matter fields as surfaces and loops - an exploratory lattice study of the Z(3) Gauge-Higgs model
- Generating a non-perturbative mass gap using Feynman diagrams in an asymptotically free theory
- New developments for dual methods in lattice field theory at non-zero density
- Fermion bag approach to the sign problem in strongly coupled lattice QED with Wilson fermions
- Benchmark results in the 2D lattice Thirring model with a chemical potential
- Simulating Wilson fermions without critical slowing down
- Cluster simulation of two-dimensional relativistic fermions
- Fermion loop simulations in 2--d lattice theories -- results and limitations