https://doi.org/10.1140/epjc/s10052-016-4552-4
Regular Article - Theoretical Physics
Mass spectra in 
SQCD with additional colorless but flavored fields
1
Budker Institute of Nuclear Physics, Novosibirsk, 630090, Russia
2
Novosibirsk State University, Novosibirsk, 630090, Russia
* e-mail: v.l.chernyak@inp.nsk.su
Received:
3
August
2016
Accepted:
5
December
2016
Published online:
10
January
2017
Considered is the 
supersymmetric QCD-like 
-theory with 
colors and 
flavors of light quarks 
with equal small masses. In addition to quarks and gluons of the standard SQCD, it includes 
colorless but flavored fields 
, with the large mass parameter 
(
is the scale factor of the gauge coupling), interacting with quarks through the Yukawa coupling in the superpotential. The mass spectra of this (direct) -theory are first directly calculated in all vacua with the unbroken or spontaneously broken flavor symmetry 
at 
, in which case this theory is logarithmically weakly coupled. Further, the mass spectra of both, this direct -theory and its Seiberg’s dual variant with 
dual colors, the 
-theory, are calculated at 
and at various values of 
(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 
where they are confined, or they are higgsed with some components 
, at appropriate values of lagrangian parameters. It is shown that mass spectra of the direct - and dual -theories are parametrically different, so that they are not equivalent. Besides it is shown in the direct -theory that a qualitatively new phenomenon takes place: under appropriate conditions, the seemingly heavy and dynamically irrelevant fields ‘turn back’ and there appear two additional generations of light -particles with small masses 
. Also considered is the X-theory which is the 
SQCD with colors and flavors of light quarks, broken down to by the large mass parameter of the adjoint scalar superfield X, 
. The tight interrelations between these X- and -theories are described, in particular, the conditions under which they are equivalent.
© The Author(s), 2017
