Deconstruction and other approaches to supersymmetric lattice field theories

Details Deconstruction and other approaches to supersymmetric lattice field theories Deconstruction and other approaches to supersymmetric lattice field theories

2006-02-03

arxiv.org/abs/hep-lat/0602007v1

Int.J.Mod.Phys. A21 (2006) 3039-3094

Physics

High Energy Physics

High Energy Physics - Lattice

70 pages

Scientific paper

10.1142/S0217751X06031752

This report contains both a review of recent approaches to supersymmetric lattice field theories and some new results on the deconstruction approach. The essential reason for the complex phase problem of the fermion determinant is shown to be derivative interactions that are not present in the continuum. These irrelevant operators violate the self-conjugacy of the fermion action that is present in the continuum. It is explained why this complex phase problem does not disappear in the continuum limit. The fermion determinant suppression of various branches of the classical moduli space is explored, and found to be supportive of previous claims regarding the continuum limit.

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