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

2024/10/25 by Victor L. Chernyak, Chernyak, Victor L.
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Particle physics theoretical and experimental studies #Black Holes and Theoretical Physics

paper · pdf · doi:10.48550/arxiv.2410.19443

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_{(2Nc-NF)≥ 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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