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arXiv · 2410.19443

Mass Spectra in ${\cal N}=1$ SQCD, in ${\cal N}=1$ SQCD-type theory and in softly broken ${\cal N}=2\rightarrow {\cal N}=1$ SQCD. And problems with the ${\cal N}=1$ Seiberg duality

Victor L. Chernyak
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Abstract

Mass spectra are calculated for ${\cal N}=1$ SQCD and SQCD-type theories and for softly broken ${\cal N}=2$ SQCD in vacua with unbroken $Z_{(2N_c-N_F)\geq 2}$ symmetry. It is shown that the Seiberg ${\cal N}=1$ duality works, at best, for massless quarks within the conformal window only. Besides: a) the gauge invariant order parameter for scalar quarks is introduced which distinguishes confinement and higgs phases, b) the phase transition are described in ${\cal N}=1$ SQCD-type and broken ${\cal N}=2$ SQCD theories between confinement and higgs phases, c) the confinement mechanism is proposed for the ordinary YM and ${\cal N}=1$ SYM theories.

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Victor L. Chernyak. 2024-10-25. Mass Spectra in ${\cal N}=1$ SQCD, in ${\cal N}=1$ SQCD-type theory and in softly broken ${\cal N}=2\rightarrow {\cal N}=1$ SQCD. And problems with the ${\cal N}=1$ Seiberg duality. https://arxiv.org/abs/2410.19443

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