Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-10-30
Phys.Lett. B373 (1996) 61-67
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, Tex file
Scientific paper
10.1016/0370-2693(96)00089-5
We present a derivation of the general form of the scalar potential in Yang-Mills theory of a non-commutative space which is a product of a four-dimensional manifold times a discrete set of points. We show that a non-trivial potential without flat directions is obtained after eliminating the auxiliary fields only if constraints are imposed on the mass matrices utilised in the Dirac operator. The constraints and potential are related to a prepotential function.
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