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Standard Model with the additional Z6 symmetry on the lattice

2005/02/28 by B. L. G. Bakker, A. I. Veselov, A.I. Veselov +1
Mathematics · Physics and Astronomy · #Artificial intelligence #Black Holes and Theoretical Physics #Computer science #Discrete symmetry #Electroweak interaction #Geometry #Higgs boson #Higgs sector #Homogeneous space #Lattice (music) #Lepton #Materials science #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Regularization (linguistics) #Standard Model (mathematical formulation) #Symmetry (geometry) #hep-lat

paper · pdf · doi:10.1016/j.physletb.2005.06.029

published as Phys.Lett. B620 (2005) 156-163 · Latex, 14 pages

arxiv created 2005/06/03 · openalex publication_date 2005/06/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

An additional Z6 symmetry hidden in the fermion and Higgs sectors of the Standard Model has been found recently [Phys. Lett. B 583 (2004) 379]. A lattice regularization of the Standard Model was constructed that possesses this symmetry. In [Yad. Fiz. (2005)] we have reported our results on the numerical simulation of the electroweak sector of the model. In this Letter we report our results on the numerical simulation of the full (SU(3)⊗SU(2)⊗U(1)) model. The phase diagram of the model has been investigated using static quark and lepton potentials. Various types of monopoles have been constructed. Their densities appear to be sensitive to the phase transition lines. Differences between the realizations of the Standard Model which do or do not possess the mentioned Z6 symmetry, are discussed.

Citations