Mass spectra in \({\mathcal {N}}=1\) SQCD with additional colorless but flavored fields

详细信息    查看全文

• 作者：Victor L. Chernyak
• 刊名：The European Physical Journal C
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：77
• 期：1
• 全文大小：1064KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Elementary Particles, Quantum Field Theory; Nuclear Physics, Heavy Ions, Hadrons; Quantum Field Theories, String Theory; Measurement Science and Instrumentation; Astronomy, Astrophysics and Cosmology;
• 出版者：Springer Berlin Heidelberg
• ISSN：1434-6052
• 卷排序：77

文摘

Considered is the \(\mathcal{N}=1\) supersymmetric QCD-like \(\Phi \)-theory with \(SU(N_c)\) colors and \(0< N_F<2N_c\) flavors of light quarks \(Q^i_a,{\overline{Q}}^{\,a}_j\) with equal small masses. In addition to quarks and gluons of the standard \(\mathcal{N}=1\) SQCD, it includes \(N^2_F\) colorless but flavored fields \(\Phi _{i}^{j}\), with the large mass parameter \(\mu _{\Phi } \gg \Lambda _Q\) (\(\Lambda _Q\) is the scale factor of the gauge coupling), interacting with quarks through the Yukawa coupling in the superpotential. The mass spectra of this (direct) \(\Phi \)-theory are first directly calculated in all vacua with the unbroken or spontaneously broken flavor symmetry \(U(N_F)\rightarrow U(n_1)\times U(n_2)\) at \(0<N_F<N_c\), in which case this theory is logarithmically weakly coupled. Further, the mass spectra of both, this direct \(\Phi \)-theory and its Seiberg’s dual variant with \(SU(N_F-N_c)\) dual colors, the \(d\Phi \)-theory, are calculated at \(3N_c/2<N_F<2N_c\) and at various values of \(\mu _{\Phi }\) (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 \(\langle Q^i_a\rangle =0\) where they are confined, or they are higgsed with some components \(\langle Q^i_a\rangle \ne 0\), at appropriate values of lagrangian parameters. It is shown that mass spectra of the direct \(\Phi \)- and dual \(d\Phi \)-theories are parametrically different, so that they are not equivalent. Besides it is shown in the direct \(\Phi \)-theory that a qualitatively new phenomenon takes place: under appropriate conditions, the seemingly heavy and dynamically irrelevant fields \(\Phi \) ‘turn back’ and there appear two additional generations of light \(\Phi \)-particles with small masses \(\mu ^\mathrm{pole}(\Phi )\ll \Lambda _Q\). Also considered is the X-theory which is the \(\mathcal{N}=2\) SQCD with \(SU(N_c)\) colors and \(0< N_F<2N_c\) flavors of light quarks, broken down to \(\mathcal{N}=1\) by the large mass parameter of the adjoint scalar superfield X,   \(\mu _X \gg \Lambda _2\). The tight interrelations between these X- and \(\Phi \)-theories are described, in particular, the conditions under which they are equivalent.