Nambu sum rule and the relation between the masses of composite Higgs bosons

We review the known results on the bosonic spectrum in various Nambu-Jona-Lasinio models both in condensed matter physics and in relativistic quantum field theory including super(3)He-B, super(3)He-A, the thin films of superfluid super(3)He, and QCD (Hadronic phase and the color-flavor locking phase...

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Bibliographic Details
Published in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2013-04, Vol.87 (7), Article 075016
Main Authors: Volovik, G. E., Zubkov, M. A.
Format: Article
Language:English
Subjects:
Channels
Condensing
Energy gap
Higgs bosons
Mathematical models
Quantum chromodynamics
Quarks
Sum rules
Superconductors
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Summary:We review the known results on the bosonic spectrum in various Nambu-Jona-Lasinio models both in condensed matter physics and in relativistic quantum field theory including super(3)He-B, super(3)He-A, the thin films of superfluid super(3)He, and QCD (Hadronic phase and the color-flavor locking phase). Next, we calculate the bosonic spectrum in the relativistic model of top quark condensation suggested in [Phys. Lett. B 221, 177 (1989) (http://dx.doi.org/10.1016/0370-2693(89)91494-9)]. In all considered cases, the sum rule appears, which relates the masses (energy gaps) M sub(boson) of the bosonic excitations in each channel with the mass (energy gap) of the condensed fermion M sub([functionof]) as (ProQuest: Formulae and/or non-USASCII text omitted). Previously, this relation was established by Nambu for super(3)He-B and for the s-wave superconductor. We generalize this relation to the wider class of models and call it the Nambu sum rule. We discuss the possibility to apply this sum rule to various models of top quark condensation. In some cases, this rule allows us to calculate the masses of extra Higgs bosons that are the Nambu partners of the 125 GeV Higgs.
ISSN:1550-7998
1550-2368
DOI:10.1103/PhysRevD.87.075016