The Kramers equation simulation algorithm II. An application to the Gross-Neveu model

Details The Kramers equation simulation algorithm II. An application to the Gross-Neveu model The Kramers equation simulation algorithm II. An application to the Gross-Neveu model

1993-07-08

arxiv.org/abs/hep-lat/9307008v1

Phys.Rev. D49 (1994) 2590-2596

Physics

High Energy Physics

High Energy Physics - Lattice

20 pages + 1 PostScript figure not included, REVTeX 3.0, IFUP-TH-28

Scientific paper

10.1103/PhysRevD.49.2590

We continue the investigation on the applications of the Kramers equation to the numerical simulation of field theoretic models. In a previous paper we have described the theory and proposed various algorithms. Here, we compare the simplest of them with the Hybrid Monte Carlo algorithm studying the two-dimensional lattice Gross-Neveu model. We used a Symanzik improved action with dynamical Wilson fermions. Both the algorithms allow for the determination of the critical mass. Their performances in the definite phase simulations are comparable with the Hybrid Monte Carlo. For the two methods, the numerical values of the measured quantities agree within the errors and are compatible with the theoretical predictions; moreover, the Kramers algorithm is safer from the point of view of the numerical precision.

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