English

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

High Energy Physics - Theory 2019-01-23 v6 High Energy Physics - Phenomenology

Abstract

This paper continues our previous study of similar theories in \cite{ch5}. We also consider here the N=1{\cal N}=1 SQCD-like theories with SU(Nc)SU(N_c) colors (and their Seiberg's dual with SU(NFNc)SU(N_F-N_c) dual colors) and NFN_F flavors of light quarks, and with NF2N_F^2 additional colorless flavored fields Φij\Phi^j_i, but now with NFN_F in the range 2Nc<NF<3Nc2N_c<N_F<3N_c. The multiplicities of various vacua and quark and gluino condensates in these vacua are found. The mass spectra of the direct and Seiberg's dual theories in various vacua are calculated within the dynamical scenario which assumes that quarks in such N=1{\cal N}=1 SQCD-like theories can be in two {\it standard} phases only. These are either the HQ (heavy quark) phase where they are confined or the Higgs phase. The word {\it standard} implies here also that, in such N=1{\cal N}=1 theories without elementary colored adjoint scalars, no {\it additional} parametrically light solitons (e.g. magnetic monopoles or dyons) are formed at those scales where quarks decouple as heavy or are higgsed. Recall that this scenario satisfies all those tests which were used as checks of the Seiberg hypothesis about the equivalence of the direct and dual theories. The mass spectra of these direct and Seiberg's dual theories calculated within this framework were found to be different, in general. These parametrical differences of mass spectra of direct and dual theories show, in particular, that all those tests, which were used as checks of the Seiberg hypothesis about the equivalence of the direct and dual theories, although necessary, may well be insufficient. Besides, the mass spectrum of the dual theory with SU(NFNc)SU(N_F-N_c) colors and Nc+1<NF<3Nc/2N_c+1<N_F<3N_c/2 dual quark flavors was calculated. And finally, considered is the direct N=2{\cal N}=2 SQCD with SU(Nc)SU(N_c) colors and Nc+1<NF<3Nc/2N_c+1<N_F<3N_c/2 flavors of light quarks...

Keywords

Cite

@article{arxiv.1308.5863,
  title  = {Mass spectra in N=1 SQCD with additional colorless but flavored fields.II},
  author = {Victor L. Chernyak},
  journal= {arXiv preprint arXiv:1308.5863},
  year   = {2019}
}

Comments

40 pages, slightly expanded, technical improvements for a reader convenience