Hedgehogs in Wilson loops and phase transition in SU(2) Yang–Mills theory

Belavin, A. A.; Chernodub, M. N.; Kozlov, I. E.

doi:10.1016/j.nuclphysb.2006.05.017

Cited by 7 publications

(9 citation statements)

References 36 publications

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“…Using the results of Refs. [12,13] obtained for the SU (2) Yang-Mills theory of the gauge-invariant hedgehog-like structures in the Wilson loops, we have considered the lattice theory giving the critical value of temperature for the hedgehogs confinement phase. Considering the hedgehog lattice theory, we have concluded that hedgehogs can exist only at the energy scale µ 10 4 GeV.…”

Section: Introductionmentioning

confidence: 99%

Black Holes-Hedgehogs and Strings as Defects of the Universal Vacua

Sidharth¹,

Das²,

Лаперашвили³

et al. 2017

Preprint

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In the present paper, assuming the Multiple Point Principle (MPP) as a new law of Nature, we considered the existence of the two degenerate vacua of the Universe: a) the first Electroweak (EW) vacuum at v 1 ≈ 246 GeV -"true vacuum", and b) the second Planck scale "false vacuum" at v 2 ∼ 10 18 GeV. In these vacua we investigated different topological defects. The main aim of this paper is an investigation of the black-hole-hedgehogs configurations as defects of the false vacuum. In the framework of the f (R) gravity, described by the Gravi-Weak unification model, we considered a black-hole solution, which corresponds to a "hedgehog" -global monopole, that has been "swallowed" by the black-hole with mass core M BH ∼ 10 18 GeV and radius δ ∼ 10 −21 GeV −1 . Considering the results of the hedgehog lattice theory in the framework of the SU (2) Yang-Mills gauge-invariant theory with hedgehogs in the Wilson loops, we have used the critical value of temperature for the hedgehogs confinement phase (T c ∼ 10 18 GeV). This result gave us the possibility to conclude that the SM shows a new physics (with contributions of the SU (2)-triplet Higgs bosons) at the scale ∼ 10 TeV. Theory predicts the stability of the EW-vacuum and the accuracy of the MPP.

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Section: Introductionmentioning

confidence: 99%

Black Holes-Hedgehogs and Strings as Defects of the Universal Vacua

Sidharth¹,

Das²,

Лаперашвили³

et al. 2017

Preprint

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show abstract

“…The authors of Ref. [13] investigated the gauge-invariant hedgehog-like structures in the Wilson loops of the SU(2) Yang-Mills theory. In this model the triplet Higgs fieldΦ = 1 2 Φ a σ a vanishes at the centre of the monopole x = x 0 : Φ(x 0 ) = 0, and has a generic hedgehog structure in the spatial vicinity of this monopole.…”

Section: Hedgehogs In the Wilson Loops And The Phase Transition In Thmentioning

confidence: 99%

“…In Section 8 hedgehogs in Wilson loops of the SU(2) Yang-Mills theory, and phase transitions in this theory were investigated using the results of Refs. [13,14]. Their lattice results gave the critical value of the temperature for the hedgehog's confinement phase: β crit ≈ 2.5, and this result gives the value of critical temperature T c ∼ 10 18 GeV.…”

Section: Introductionmentioning

confidence: 96%

“…Using the results of Refs. [13,14] obtained for the SU(2) Yang-Mills theory of the gauge-invariant hedgehog-like structures in the Wilson loops, we have considered the lattice theory giving the critical value of temperature for the hedgehogs' confinement phase. Considering the hedgehog lattice theory, we have concluded that hedgehogs can exist only at the energy scale µ 10 4 GeV.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Explaining Defects of the Universal Vacua with Black Holes-Hedgehogs and Strings

Das

Лаперашвили

Nielsen³

et al. 2019

Universe

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Assuming the Multiple Point Principle (MPP) as a new law of Nature, we considered the existence of the two degenerate vacua of the Universe: (a) the first Electroweak (EW) vacuum at v 1 ≈ 246 GeV—“true vacuum”, and (b) the second Planck scale “false vacuum” at v 2 ∼ 10 18 GeV. In these vacua, we investigated different topological defects. The main aim of the paper is an investigation of the black-hole-hedgehogs configurations as defects of the false vacuum. In the framework of the f ( R ) gravity, described by the Gravi-Weak unification model, we considered a black-hole solution, which corresponds to a “hedgehog”—global monopole, that has been “swallowed” by the black-hole with mass core M B H ∼ 10 18 GeV and radius δ ∼ 10 − 21 GeV − 1 . Considering the results of the hedgehog lattice theory in the framework of the S U ( 2 ) Yang-Mills gauge-invariant theory with hedgehogs in the Wilson loops, we have used the critical value of temperature for the hedgehogs’ confinement phase ( T c ∼ 10 18 GeV). This result gave us the possibility to conclude that the SM shows a new physics (with contributions of the S U ( 2 ) -triplet Higgs bosons) at the scale ∼10 TeV. This theory predicts the stability of the EW-vacuum and the accuracy of the MPP.

show abstract

“…In Ref. [20] the gauge-invariant hedgehog-like structures in the Wilson loops were investigated in the SU (2) Yang-Mills theory. In this model the triplet Higgs field Φ ≡ 1 2 Φ a σ a (a = 1, 2, 3) vanishes at the center of the monopole x = x 0 : Φ(x 0 ) = 0 (33) and has a generic hedgehog structure in the spatial vicinity of this monopole.…”

Section: What Is the Universe Vacuum?mentioning

confidence: 99%

Topological structure of the vacuum, cosmological constant and dark energy

Sidharth

Das

et al. 2016

Int. J. Mod. Phys. A

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In this review we present a theory of cosmological constant and Dark Energy (DE), based on the topological structure of the vacuum. The Multiple Point Principle (MPP) is reviewed. It demonstrates the existence of the two vacua into the SM. The Froggatt-Nielsen's prediction of the top-quark and Higgs masses is given in the assumption that there exist two degenerate vacua in the SM. This prediction was improved by the next order calculations. We also considered B.G. Sidharth's theory of cosmological constant based on the non-commutative geometry of the Planck scale space-time, what gives an extremely small DE density providing the accelerating expansion of the Universe. Theory of two degenerate vacua -the Planck scale phase and Electroweak (EW) phase -also is reviewed, topological defects in these vacua are investigated, also the Compton wavelength phase suggested by B.G. Sidharth was discussed. A general theory of the phase transition and the problem of the vacuum stability in the SM is reviewed. Assuming that the recently discovered at the LHC new resonance with mass m S 750 GeV is a new scalar S bound state 6t + 6t, earlier predicted by C.D. Froggatt, H.B. Nielsen and L.V. Laperashvili, we try to provide the vacuum stability in the SM and exact accuracy of the MPP.

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Hedgehogs in Wilson loops and phase transition in SU(2) Yang–Mills theory

Cited by 7 publications

References 36 publications

Black Holes-Hedgehogs and Strings as Defects of the Universal Vacua

Black Holes-Hedgehogs and Strings as Defects of the Universal Vacua

Explaining Defects of the Universal Vacua with Black Holes-Hedgehogs and Strings

Topological structure of the vacuum, cosmological constant and dark energy

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