Standard Model with the additional $Z_6$ symmetry on the lattice

Abstract

An additional $Z_6$ symmetry hidden in the fermion and Higgs sectors of the Standard Model has been found recently\cite{BVZ2003}. A lattice regularization of the Standard Model was constructed that possesses this symmetry. In \cite{BVZ2004} we have reported our results on the numerical simulation of the Electroweak sector of the model. In this paper we report our results on the numerical simulation of the full ($SU(3)\otimes SU(2)\otimes U(1)$) 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 $Z_6$ symmetry, are discussed.

arXiv commentLatex, 14 pages

References in corpus (13)

• Exactly massless quarks on the lattice
• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• The Confinement Problem in Lattice Gauge Theory
• Where the electroweak phase transition ends
• String Representation of the Abelian Higgs Theory and Aharonov-Bohm Effect on the Lattice
• Natural R-Parity, μ-term, and Fermion Mass Hierarchy From Discrete Gauge Symmetries
• Fine tuned vortices in lattice SU(2) gluodynamics
• Gauged Baryon Parity and Nucleon Stability
• Embedded Topological Defects in Hot Electroweak Theory: a Lattice Study
• Z-Vortex Percolation in the Electroweak Crossover Region
• Central Dominance and the Confinement Mechanism in Gluodynamics
• A hidden symmetry in the Standard Model
• Evidence for the reality of singular configurations in SU(2) gauge theory

Cited by in corpus (7)

• Universal Aspects of QCD-like Theories
• Upper bound on the cutoff in lattice Electroweak theory
• $Z_6$ symmetry, electroweak transition, and magnetic monopoles at high temperature
• Observable n - anti-n Oscillations with New Physics at LHC
• $Z_6$ symmetry of the Standard Model and Technicolor theory
• The fluctuational region on the phase diagram of lattice Weinberg - Salam model
• Nambu monopoles in lattice Electroweak theory