## Abstract

Considered is the N= 1 supersymmetric QCD-like Φ -theory with SU(N_{c}) colors and 0 < N_{F}< 2 N_{c} flavors of light quarks Q_{a} ^{i},Q¯_{j} ^{a} with equal small masses. In addition to quarks and gluons of the standard N= 1 SQCD, it includes N_{F} ^{2} colorless but flavored fields Φ_{i} ^{j}, with the large mass parameter μ_{Φ}≫ Λ _{Q} (Λ _{Q} 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(N_{F}) → U(n_{1}) × U(n_{2}) at 0 < N_{F}< N_{c}, 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(N_{F}- N_{c}) dual colors, the dΦ -theory, are calculated at 3 N_{c}/ 2 < N_{F}< 2 N_{c} and at various values of μ_{Φ} (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 ⟨Q_{a} ^{i}⟩=0 where they are confined, or they are higgsed with some components ⟨Q_{a} ^{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 μ^{pole}(Φ) ≪ Λ _{Q}. Also considered is the X-theory which is the N= 2 SQCD with SU(N_{c}) colors and 0 < N_{F}< 2 N_{c} flavors of light quarks, broken down to N= 1 by the large mass parameter of the adjoint scalar superfield X, μ_{X}≫ Λ _{2}. The tight interrelations between these X- and Φ -theories are described, in particular, the conditions under which they are equivalent.

Original language | English |
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Article number | 19 |

Number of pages | 35 |

Journal | European Physical Journal C |

Volume | 77 |

Issue number | 1 |

DOIs | |

Publication status | Published - 10 Jan 2017 |

## Keywords

- SUSY GAUGE-THEORIES
- SUPERSYMMETRIC QCD
- BREAKING
- DUALITY
- VACUA