Simulations of ${\cal N}=2$ super Yang-Mills theory in two dimensions

Details Simulations of ${\cal N}=2$ super Yang-Mills theory in two dimensions Simulations of ${\cal N}=2$ super Yang-Mills theory in two dimensions

2006-02-02

arxiv.org/abs/hep-lat/0602004v3

JHEP 0603 (2006) 032

Physics

High Energy Physics

High Energy Physics - Lattice

34 pages, 12 figures, 7 tables. Eqn. 6.1 corrected. Version to be published in JHEP

Scientific paper

10.1088/1126-6708/2006/03/032

We present results from lattice simulations of ${\cal N}=2$ super Yang-Mills theory in two dimensions. The lattice formulation we use was developed in \cite{2dpaper} and retains both gauge invariance and an exact (twisted) supersymmetry for any lattice spacing. Results for both U(2) and SU(2) gauge groups are given. We focus on supersymmetric Ward identities, the phase of the Pfaffian resulting from integration over the Grassmann fields and the nature of the quantum moduli space.

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