Standard Model with the additional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>Z</mml:mi><mml:mn>6</mml:mn></mml:msub></mml:math> symmetry on the lattice

Баккер, Б. Л. Г.; Veselov, A.I.; Zubkov, M. A.

doi:10.1016/j.physletb.2005.06.029

Cited by 11 publications

(17 citation statements)

References 24 publications

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“…It was shown recently [3,4,5] that there is a hidden Z 6 symmetry in the Higgs and fermion sectors of the Standard Model. The Standard Model on the lattice can be defined in such a way, that the whole model is Z 6 invariant.…”

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Z6 symmetry, electroweak transition, and magnetic monopoles at high temperature

2006

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Z 6 symmetry, electroweak transition, and magnetic monopoles at high temperature AbstractWe 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 confinementdeconfinement 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.

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“…We consider here the lattice model described in [5]. We use asymmetric lattices with time extents 2 and 4 and of space sizes from 8 3 up to 24 3 .…”

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Z6 symmetry, electroweak transition, and magnetic monopoles at high temperature

2006

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“…The renormalized α R is extracted from this dependence. Actually, a linear dependence is observed for r ∈ [1,6]. Therefore we treat this constant as α R (r/a) ∼ α R (M Z ).…”

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Nambu monopoles in lattice electroweak theory

Баккер

Veselov

Zubkov

2009

J. Phys. G: Nucl. Part. Phys.

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Abstract. We considered the lattice electroweak theory at realistic values of α and θ W and for large values of the Higgs mass. We investigated numerically the properties of topological objects that are identified with quantum Nambu monopoles. We have found that the action density near the Nambu monopole worldlines exceeds the density averaged over the lattice in the physical region of the phase diagram. Moreover, their percolation probability is found to be an order parameter for the transition between the symmetric and the broken phases. Therefore, these monopoles indeed appear as real physical objects. However, we have found that their density on the lattice increases with increasing ultraviolet cutoff. Thus we conclude, that the conventional lattice electroweak theory is not able to predict the density of Nambu monopoles. This means that the description of Nambu monopole physics based on the lattice Weinberg -Salam model with finite ultraviolet cutoff is incomplete. We expect that the correct description may be obtained only within the lattice theory that involves the description of TeV -scale physics.

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“…However, the Z 6 symmetry is not the subject of the SU(5) unification only. Actually, the Z 6 symmetry is present in the Standard Model itself without any relation to the particular Unified theory [11,12,13,14,15]. The Z 6 symmetry is rather restrictive and it forbids, for example, the appearance of such particles as left -handed Standard Model fermions with zero hypercharge.…”

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Z6 symmetry of the Standard Model and Technicolor theory

Zubkov

2009

Physics Letters B

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We consider the possibility to continue the Z 6 symmetry of the Standard Model to the Technicolor theories. Among the SU (N ) Weinberg -Susskind models and the SU (N ) Farhi -Susskind models for N > 2 only the SU (4) Farhi -Susskind model may possess the mentioned symmetry. We also show that the hypercharge assignment of Minimal Walking SU (2) Technicolor model may be chosen in such a way that the additional discrete symmetry is preserved.

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Standard Model with the additional Z6 symmetry on the lattice

Cited by 11 publications

References 24 publications

Z6 symmetry, electroweak transition, and magnetic monopoles at high temperature

Z6 symmetry, electroweak transition, and magnetic monopoles at high temperature

Nambu monopoles in lattice electroweak theory

Z6 symmetry of the Standard Model and Technicolor theory

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