4th V.N. Gribov Memorial Workshop: Theoretical Physics of XXI Century
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4th V.N. Gribov Memorial Workshop
June, 17-20 Chernogolovka, Russia |
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From condensed -matter to high energy physics: Weyl fermions and Higgs bosons
Date/Time: 14:30 19-Jun-2015
Abstract:
We consider two connections between condensed matter and particle physics:
topology of the quantum vacuum and properties of the Higgs modes. The topological classification of quantum vacua deals with the robust properties of the fermionic spectrum at the lowest energies. Among the major universality classes there are: the class of systems with a Fermi surface; the class of vacua with Fermi points (Weyl, Dirac or Majorana points); the classes of systems with the Dirac lines and with flat bands; and the fully gapped vacua. The Fermi point class includes the vacuum of Standard Model (SM) and the Weyl superfluid 3He-A. In both systems (the Universe and 3He-A) the low-energy fermionic excitations represent left-handed and right-handed Weyl fermions, which live near the Weyl or Dirac points, while the bosonic collective excitations represent the gauge field bosons, gravitons and Higgs amplitude modes. The chiral properties of SM, such as chiral anomaly, are determined by symmetry protected topological invariants in momentum space. In the broken symmetry phase of SM, its vacuum belongs to the same class as the fully gapped topological superfluid 3He-B. The order parameter, which describes spontaneous symmetry breaking in 3He-B, is an analogue of the Higgs field. Oscillations of the amplitude of the Higgs field correspond to Higgs bosons, while oscillations of the orientation form Nambu-Goldstone (NG) modes - SM gauge bosons. In 3He-B there are 14 heavy Higgs amplitude modes and 1 light Higgs mode, which comes from the low-energy sector due to the hidden symmetry (small spin-orbit interaction). The heavy Higgs modes obey the Nambu sum rule, which relates the masses of Higgs bosons and masses of fermions. If this rule is applicable to SM, one may expect the extra Higgs bosons with masses 245 GeV and 325 GeV. On the other hand the analogy with the little Higgs scenario in 3He-B suggests that the observed 125 GeV Higgs could be the pseudo NG mode acquiring its mass due to violation of a hidden symmetry. Authors
(no additional information) |
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