Mass spectra in N= 1 SQCD with additional colorless but flavored fields

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Considered is the N= 1 supersymmetric QCD-like Φ -theory with SU(Nc) colors and 0 < NF< 2 Nc flavors of light quarks Qa i,Q¯j a with equal small masses. In addition to quarks and gluons of the standard N= 1 SQCD, it includes NF 2 colorless but flavored fields Φi j, with the large mass parameter μΦ≫ Λ QQ is the scale factor of the gauge coupling), interacting with quarks through the Yukawa coupling in the superpotential. The mass spectra of this (direct) Φ -theory are first directly calculated in all vacua with the unbroken or spontaneously broken flavor symmetry U(NF) → U(n1) × U(n2) at 0 < NF< Nc, in which case this theory is logarithmically weakly coupled. Further, the mass spectra of both, this direct Φ -theory and its Seiberg’s dual variant with SU(NF- Nc) dual colors, the dΦ -theory, are calculated at 3 Nc/ 2 < NF< 2 Nc and at various values of μΦ (in strong coupling regimes with coupling constants O(1)), now using the dynamical scenario introduced by the author in his previous article (Chernyak in JETP 114:61, arXiv:0811.4283 [hep-th], 2012). This scenario assumes that quarks in this case can be in two different standard phases only: either this is the HQ (heavy quark) phase with ⟨Qa i⟩=0 where they are confined, or they are higgsed with some components ⟨Qa i⟩≠0, at appropriate values of lagrangian parameters. It is shown that mass spectra of the direct Φ - and dual dΦ -theories are parametrically different, so that they are not equivalent. Besides it is shown in the direct Φ -theory that a qualitatively new phenomenon takes place: under appropriate conditions, the seemingly heavy and dynamically irrelevant fields Φ ‘turn back’ and there appear two additional generations of light Φ -particles with small masses μpole(Φ) ≪ Λ Q. Also considered is the X-theory which is the N= 2 SQCD with SU(Nc) colors and 0 < NF< 2 Nc flavors of light quarks, broken down to N= 1 by the large mass parameter of the adjoint scalar superfield X, μX≫ Λ 2. The tight interrelations between these X- and Φ -theories are described, in particular, the conditions under which they are equivalent.

Original languageEnglish
Article number19
Number of pages35
JournalEuropean Physical Journal C
Issue number1
Publication statusPublished - 10 Jan 2017




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