$Z_6$ symmetry, electroweak transition, and magnetic monopoles at high temperature

Abstract

We consider the lattice realization of the Standard Model with an additional $Z_6$ symmetry. Numerical simulations were performed on the asymmetric lattice, which corresponds to the finite temperature theory. Our choice of parameters corresponds to large Higgs masses ($M_H>90$ Gev). The phase diagram was investigated and has been found to be different from that of the usual lattice realization of the Standard Model. It has been found, that the confinement-deconfinement phase transition lines for the SU(2) and SU(3) fields coincide. The transition line between Higgs and symmetric deconfinement parts of the phase diagram and the confinement-deconfinement transition line meet in a triple point. The transition between Higgs and symmetric parts of the phase diagram corresponds to the finite temperature electroweak transition/crossover. We see for the first time evidence that Nambu monopoles are condensed at $T>T_c$ while at $T<T_c$ their condensate vanishes.

Latex, 14 pages

References in corpus (21)

• Is There a Hot Electroweak Phase Transition at $m_H\gsim m_W$?
• The Effective Potential and First-Order Phase Transitions: Beyond Leading Order
• The Confinement Problem in Lattice Gauge Theory
• Semilocal and Electroweak Strings
• Endpoint of the hot electroweak phase transition
• The universality class of the electroweak theory
• Where the electroweak phase transition ends
• Monopoles in Weinberg-Salam Model
• Finite Temperature Effective Potential to Order $g^4,\la^2$ and the Electroweak Phase Transition
• String Representation of the Abelian Higgs Theory and Aharonov-Bohm Effect on the Lattice
• THERMODYNAMICS OF THE ELECTROWEAK PHASE TRANSITION
• The Electroweak Phase Transition through the Renormalization Group
• Kertesz Line in the Three-Dimensional Compact U(1) Lattice Higgs Model
• Four-dimensional Simulation of the Hot Electroweak Phase Transition with the SU(2) Gauge-Higgs Model
• 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
• Standard Model with the additional $Z_6$ symmetry on the lattice
• On Nambu Monopole Dynamics in the SU(2) Lattice Higgs Model
• Triviality and Vacuum Stability Bounds on the Higgs Boson Mass beyond the Standard Model

Cited by in corpus (6)

• Magnetic monopole bibliography
• Upper bound on the cutoff in lattice Electroweak theory
• $Z_6$ 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
• Zero temperature lattice Weinberg - Salam model for the values of the cutoff $\Lambda \sim 1$ TeV