Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-05-15
AnnalsPhys.323:946-988,2008
Physics
High Energy Physics
High Energy Physics - Lattice
54 pages, 19 figures, v2: typos corrected, discussion of O(a^4) corrections improved, two references added, version to appear
Scientific paper
10.1016/j.aop.2007.06.010
We study and simulate N=2 supersymmetric Wess-Zumino models in one and two dimensions. For any choice of the lattice derivative, the theories can be made manifestly supersymmetric by adding appropriate improvement terms corresponding to discretizations of surface integrals. In one dimension, our simulations show that a model with the Wilson derivative and the Stratonovitch prescription for this discretization leads to far better results at finite lattice spacing than other models with Wilson fermions considered in the literature. In particular, we check that fermionic and bosonic masses coincide and the unbroken Ward identities are fulfilled to high accuracy. Equally good results for the effective masses can be obtained in a model with the SLAC derivative (even without improvement terms). In two dimensions we introduce a non-standard Wilson term in such a way that the discretization errors of the kinetic terms are only of order O(a^2). Masses extracted from the corresponding manifestly supersymmetric model prove to approach their continuum values much quicker than those from a model containing the standard Wilson term. Again, a comparable enhancement can be achieved in a theory using the SLAC derivative.
Bergner Georg
Kaestner Tobias
Uhlmann Sebastian
Wipf Andreas
No associations
LandOfFree
Low-dimensional Supersymmetric Lattice Models 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 Low-dimensional Supersymmetric Lattice Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Low-dimensional Supersymmetric Lattice Models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-623362