Lattice supersymmetry, superfields and renormalization

Details Lattice supersymmetry, superfields and renormalization Lattice supersymmetry, superfields and renormalization

2004-07-15

arxiv.org/abs/hep-th/0407135v2

JHEP0409:029,2004

Physics

High Energy Physics

High Energy Physics - Theory

44 pages, 1 figure

Scientific paper

10.1088/1126-6708/2004/09/029

We study Euclidean lattice formulations of non-gauge supersymmetric models with up to four supercharges in various dimensions. We formulate the conditions under which the interacting lattice theory can exactly preserve one or more nilpotent anticommuting supersymmetries. We introduce a superfield formalism, which allows the enumeration of all possible lattice supersymmetry invariants. We use it to discuss the formulation of Q-exact lattice actions and their renormalization in a general manner. In some examples, one exact supersymmetry guarantees finiteness of the continuum limit of the lattice theory. As a consequence, we show that the desired quantum continuum limit is obtained without fine tuning for these models. Finally, we discuss the implications and possible further applications of our results to the study of gauge and non-gauge models.

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