<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, electroweak transition, and magnetic monopoles at high temperature

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

doi:10.1016/j.physletb.2006.09.006

Cited by 6 publications

(8 citation statements)

References 26 publications

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“…Namely, we consider their percolation properties that are related to their possible condensation. In the finite temperature theory it was found that the electroweak transition is accompanied with the condensation of the Nambu monopoles and the condensation of the Z-strings [27][28][29]. Here we find that in the zero-temperature model this occurs as well.…”

Section: Introductionsupporting

confidence: 65%

Zero temperature lattice Weinberg-Salam model for the values of the cutoffΛ∼1 TeV

Zubkov¹

2012

Phys. Rev. D

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The lattice Weinberg -Salam model at zero temperature is investigated numerically. We consider the model for the following values of the coupling constants: the Weinberg angle θW ∼ 30 o , the fine structure constant α ∼ 1 150 , the Higgs mass MH ∼ 150 GeV. We find that the fluctuational region begins at the values of the cutoff Λ above about 0.8 TeV. In this region the average distance between Nambu monopoles is close to their sizes. At Λ > 1.1 TeV the Nambu monopole currents percolate. Within the fluctuational region the considered definitions of the scalar field condensate give values that differ from the expected one 2MZ /gz. We consider the given results as an indication that the nonperturbative effects may be present in the Weinberg -Salam model at the large values of the cutoff. Our numerical results were obtained on the lattices of sizes up to 16 3 × 32.

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Section: Introductionsupporting

confidence: 65%

Zero temperature lattice Weinberg-Salam model for the values of the cutoffΛ∼1 TeV

Zubkov¹

2012

Phys. Rev. D

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“…For a definition of those notations see, for example, [34].) Therefore, Σ can be treated as the worldsheet of a quantum Z-string [31,7,30]. ‡ On the classical level the monopole -like topological objects with nontrivial hypercharge flux have an infinite self energy.…”

Section: Nambu Monopolesmentioning

confidence: 99%

“…In our earlier papers we considered the appearance of an additional discrete symmetry in the fermion sector of the standard model [4][5][6][7]. This additional symmetry allows us to define the standard model with the gauge group SU (3) × SU (2) × U(1)/Z, where Z is equal to Z 6 , or to one of its subgroups: Z 3 or Z 2 .…”

Section: Referencementioning

confidence: 99%

“…For a definition of those notations see, for example [34].) Therefore, can be treated as the worldsheet of a quantum Z-string [7,30,31].…”

Section: Nambu Monopolesmentioning

confidence: 99%

“…Qualitative lattice investigations of the properties of Nambu monopoles in the standard model have been performed both at zero and finite temperature in the unphysical region of large coupling constants [4][5][6][7]. Nambu monopoles were found to be condensed in the symmetric phase of lattice theory (and above the electroweak transition in the finite temperature theory).…”

Section: Introductionmentioning

confidence: 99%

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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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The observability of an additional discrete symmetry in the Standard Model

Zubkov¹

2007

Physics Letters B

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Standard Model may be defined with the additional discrete symmetry, i.e. with the gauge group SU (3) × SU (2) × U (1)/Z (Z = Z 6 , Z 3 or Z 2 ) instead of the usual SU (3) × SU (2) × U (1). It has the same perturbation expansion as the conventional one. However, it may describe nature in a different way at the energies compared to the triviality bound (of about 1 Tev). In this paper we present a possibility to observe this difference assuming that the gauge group of the Standard Model is embedded into the gauge group of an a priory unknown model, which describes physics at a Tev scale. This difference is related to the monopole content of the theory. We illustrate our results by consideration of the Petite Unification of quarks and leptons.

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

Cited by 6 publications

References 26 publications

Zero temperature lattice Weinberg-Salam model for the values of the cutoffΛ∼1 TeV

Zero temperature lattice Weinberg-Salam model for the values of the cutoffΛ∼1 TeV

Nambu monopoles in lattice electroweak theory

The observability of an additional discrete symmetry in the Standard Model

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