TY - JOUR

T1 - Nambu sum rule and the relation between the masses of composite Higgs bosons

AU - Volovik, G.E.

AU - Zubkov, M.A.

N1 - VK: 677001; 13250280

PY - 2013

Y1 - 2013

N2 - 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 3He−B, 3He−A, the thin films of superfluid 3He, 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)]. In all considered cases, the sum rule appears, which relates the masses (energy gaps) Mboson of the bosonic excitations in each channel with the mass (energy gap) of the condensed fermion Mf as ∑M2boson=4M2f. Previously, this relation was established by Nambu for 3He−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.

AB - 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 3He−B, 3He−A, the thin films of superfluid 3He, 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)]. In all considered cases, the sum rule appears, which relates the masses (energy gaps) Mboson of the bosonic excitations in each channel with the mass (energy gap) of the condensed fermion Mf as ∑M2boson=4M2f. Previously, this relation was established by Nambu for 3He−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.

KW - bosonic spectrums

KW - condensed matter physics

KW - Nambu-Jona-Laisnio models

KW - relativistic model of top quark condensation

KW - bosonic spectrums

KW - condensed matter physics

KW - Nambu-Jona-Laisnio models

KW - relativistic model of top quark condensation

KW - bosonic spectrums

KW - condensed matter physics

KW - Nambu-Jona-Laisnio models

KW - relativistic model of top quark condensation

UR - http://prd.aps.org/pdf/PRD/v87/i7/e075016

U2 - 10.1103/PhysRevD.87.075016

DO - 10.1103/PhysRevD.87.075016

M3 - Article

SN - 1550-7998

VL - 87

SP - 1

EP - 14

JO - Physical Review D

JF - Physical Review D

IS - 7

M1 - 075016

ER -