Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-10-11
PoSLAT2007:284,2007
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 2 figures, contribution to Lattice 2007 (Regensburg, Germany)
Scientific paper
The (discrete) Gross-Neveu model is studied in a lattice realization with an N-component Majorana Wilson fermion field. It has an internal O(N) symmetry in addition to the euclidean lattice symmetries. The discrete chiral symmetry for vanishing mass is expected to emerge in the continuum limit only. The lattice theory is first recast in terms of two-valued bosonic link variables (dimers). In this representation, which coincides with the loop representation obtained earlier by Gattringer with the help of eight-vertex-models, the Boltzmann weight is essentially positive. While standard local updates are possible in this form we construct a further exact transformation where we generate dimer configurations as Peierls contours of an Ising model with a local action residing on plaquettes. For this model a Swendsen-Wang type cluster algorithm is constructed. At vanishing coupling it is numerically demonstrated to almost completely eliminate critical slowing down. Although further tests are required, an avenue to numerical studies of the Gross-Neveu model with unprecedented precision seems open.
No associations
LandOfFree
Cluster simulation of two-dimensional relativistic fermions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Cluster simulation of two-dimensional relativistic fermions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cluster simulation of two-dimensional relativistic fermions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-541591