Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-06-28
Int.J.Mod.Phys. A12 (1997) 975-1002
Physics
High Energy Physics
High Energy Physics - Theory
35 pages, 9 Postscript figures
Scientific paper
We extend previous work on the soft breaking of $N=2$ supersymmetric QCD. We present the formalism for the breaking due to a dilaton spurion for a general gauge group and obtain the exact effective potential. We obtain some general features of the vacuum structure in the pure $SU(N)$ Yang-Mills theory and we also derive a general mass formula for this class of theories, in particular we present explicit results for the mass spectrum in the $SU(2)$ case. Finally we analyze the vacuum structure of the $SU(2)$ theory with one massless hypermultiplet. This theory presents dyon condensation and a first order phase transition in the supersymmetry breaking parameter driven by non-mutually local BPS states. This could be a hint of Argyres-Douglas-like phases in non-supersymmetric gauge theories.
Alvarez-Gaume Luis
Marino Marcos
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