Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-08-09
Phys.Rev. D66 (2002) 074510
Physics
High Energy Physics
High Energy Physics - Lattice
24 pages. A reference was added. Appeared in Phys. Rev. D66 (2002) 074510
Scientific paper
10.1103/PhysRevD.66.074510
We examine the N=2 Wess-Zumino model defined on the $d=2$ Euclidean lattice in connection with a restoration of the Leibniz rule in the limit $a\to0$ in perturbatively finite theory. We are interested in the difference between the Wilson and Ginsparg-Wilson fermions and in the effects of extra interactions introduced by an analysis of Nicolai mapping. As for the Wilson fermion, it induces a linear divergence to individual tadpole diagrams in the limit $a\to0$, which is absent in the Ginsparg-Wilson fermion. This divergence suggests that a careful choice of lattice regularization is required in a reliable numerical simulation. As for the effects of the extra couplings introduced by an analysis of Nicolai mapping, the extra couplings do not completely remedy the supersymmetry breaking in correlation functions induced by the failure of the Leibniz rule in perturbation theory, though those couplings ensure the vanishing of vacuum energy arising from disconnected diagrams. Supersymmetry in correlation functions is recovered in the limit $a\to 0$ {\em with or without} those extra couplings. In the context of lattice theory, it may be properly said that supersymmetry does not improve ultraviolet properties but rather it is well accommodated in theories with good ultraviolet properties.
No associations
LandOfFree
N=2 Wess-Zumino model on the d=2 Euclidean lattice 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 N=2 Wess-Zumino model on the d=2 Euclidean lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and N=2 Wess-Zumino model on the d=2 Euclidean lattice will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-666112