A hidden symmetry in the Standard Model

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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“…Several points were checked using a lattice 24 4 . In general we found no significant difference between the mentioned lattice sizes.…”

Section: Phase Diagrammentioning

confidence: 99%

Nambu monopoles in lattice electroweak theory

Баккер

Veselov

Zubkov

2009

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

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“…From the requirement that the one-loop contribution to m 2 is less than 10|m 2 R | one derives that Λ ∼ 1 TeV. This problem appears also in lattice nonperturbative study (see, for example, [2,3]). Thus it is natural to construct the new theory, which describes Tev -scale physics and provides the spontaneous breakdown of Electroweak symmetry.…”

Section: Introductionmentioning

confidence: 99%

“…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.…”

Section: Introductionmentioning

confidence: 99%

“…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. It was shown in [11], that the Unified models based on the Pati -Salam scheme may possess the Z 6 symmetry. Besides, it was found that in the so -called Petite Unification models (also based on the Pati-Salam scheme) the additional discrete symmetry is present (Z 2 or Z 3 depending on the choice of the model) [16].…”

Section: Introductionmentioning

confidence: 99%

“…It can be easily seen [11] that all the listed combinations are invariant under the following Z 6 transformations:…”

Section: Introductionmentioning

confidence: 99%

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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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