Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-07-15
JHEP 0510:082,2005
Physics
High Energy Physics
High Energy Physics - Lattice
1+20 pages, uses JHEP3.cls, the final version to appear in JHEP
Scientific paper
10.1088/1126-6708/2005/10/082
The N=(2,2) extended super Yang-Mills theory in 2 dimensions is formulated on the lattice as a dimensional reduction of a 4 dimensional lattice gauge theory. We use the plaquette action for a bosonic sector and the Wilson- or the overlap-Dirac operator for a fermion sector. The fermion determinant is real and, moreover, when the overlap-Dirac operator is used, semi-positive definite. The flat directions in the target theory become compact and present no subtlety for a numerical integration along these directions. Any exact supersymmetry does not exist in our lattice formulation; nevertheless we argue that one-loop calculable and finite mass counter terms ensure a supersymmetric continuum limit to all orders of perturbation theory.
Suzuki Hiroshi
Taniguchi Yusuke
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