Simulating the All-Order Hopping Expansion II: Wilson Fermions
| dc.creator | Wolff, Ulli | |
| dc.date | 2008-12-03 | |
| dc.date.accessioned | 2026-07-07T12:58:52Z | |
| dc.date.available | 2026-07-07T12:58:52Z | |
| dc.description | We investigate the extension of the Prokof'ev-Svistunov worm algorithm to Wilson lattice fermions in an external scalar field. We effectively simulate by Monte Carlo the graphs contributing to the hopping expansion of the two-point function on a finite lattice to arbitrary order. Tests are conducted for a constant background field i. e. free fermions at some mass. For the method introduced here this is expected to be a representative case. Its advantage is that we know the exact answers and can thus make stringent tests on the numerics. The approach is formulated in both two and three space-time dimensions. In D=2 Wilson fermions enjoy special positivity properties and the simulation is similarly efficient as in the Ising model. In D=3 the method also works at sufficiently large mass, but there is a hard sign problem in the present formulation hindering us to take the continuum limit. | |
| dc.description | 29 pages [12pt], 5 figures | |
| dc.identifier | https://arxiv.org/abs/0812.0677 | |
| dc.identifier | http://arxiv.org/abs/0812.0677 | |
| dc.identifier | Nucl.Phys.B814:549-572,2009 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2009.01.018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225389 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Simulating the All-Order Hopping Expansion II: Wilson Fermions | |
| dc.type | text |