×

More on softly broken \(N=2\) QCD. (English) Zbl 1161.81420

Summary: 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 \(\text{SU}(N)\) 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 \(\text{SU}(2)\) case. Finally we analyze the vacuum structure of the \(\text{SU}(2)\) theory with one massless hypermultiplet. This theory presents dyon condensation and a first order phase transition in the supersymmetry breaking parameter driven by nonmutually local BPS states. This could be a hint of Argyres-Douglas-like phases in nonsupersymmetric gauge theories.

MSC:

81T60 Supersymmetric field theories in quantum mechanics
81R40 Symmetry breaking in quantum theory
81T13 Yang-Mills and other gauge theories in quantum field theory
81V05 Strong interaction, including quantum chromodynamics
PDFBibTeX XMLCite
Full Text: DOI arXiv