Sphalerons at finite mixing angle

Kunz, Jutta; Kleihaus, Burkhard; Brihaye, Yves

doi:10.1103/physrevd.46.3587

Cited by 86 publications

(106 citation statements)

References 24 publications

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“…In contrast to the sphaleron [5], which is spherically symmetric for vanishing mixing angle, the multisphaleron solutions are only axially symmetric, even for vanishing mixing angle. The appropriate ansatz for the multisphalerons represents a generalization of the axially symmetric ansatz for the sphaleron at finite mixing angle [11,12], preserving the invariance under parity.…”

Section: Introductionmentioning

confidence: 99%

Multiphalerons in the weak interactions

Kleihaus

Kunz

1994

Physics Letters B

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We construct multisphaleron solutions in the weak interactions. The multisphaleron solutions carry Chern-Simons charge n/2, where n is an integer. The well-known sphaleron has n = 1 and is spherically symmetric for vanishing mixing angle. In contrast the multisphalerons with n > 1 are only axially symmetric, even for vanishing mixing angle. The greater n, the stronger the energy density deforms. While for small Higgs masses the energy of the multisphalerons is smaller than n times the energy of the sphaleron, the energy of the multisphalerons is larger than n times the energy of the sphaleron for large Higgs masses.Univ. Utrecht-Preprint THU-94/04

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Section: Introductionmentioning

confidence: 99%

Multiphalerons in the weak interactions

Kleihaus

Kunz

1994

Physics Letters B

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“…In particular, E sph can be found in Ref. [27] for the bosonic sector of the SU(2)×U(1) Standard Model, while fermionic effects were clarified in Ref. [28].…”

Section: Chern-simons Diffusion Ratementioning

confidence: 99%

“…At 1-loop level this can to some extent be demonstrated explicitly [32], but what is more important for us is that any possible errors from this approximation are compensated for by step (v) below. The effect of the U(1) group is treated perturbatively [26], which is an excellent approximation [27]. We use an effective finite-temperature Weinberg-angle tan 2 (θ W ) eff ≈ 0.315 [19].…”

Section: Chern-simons Diffusion Ratementioning

confidence: 99%

Baryon and lepton number violation rates across the electroweak crossover

Burnier

Laine

Shaposhnikov

2006

J. Cosmol. Astropart. Phys.

102

127

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We point out that the results of many baryogenesis scenarios operating at or below the TeV scale are rather sensitive to the rate of anomalous fermion number violation across the electroweak crossover. Assuming the validity of the Standard Model of electroweak interactions, and making use of previous theoretical work at small Higgs masses, we estimate this rate for experimentally allowed values of the Higgs mass (m H = 100...300 GeV). We also elaborate on how the rate makes its appearance in (leptogenesis based) baryogenesis computations.

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“…But the numerical solution of the reduced field equations and the corresponding determination of the energy E S have turned out to be challenging. In this article, we present, at last, the numerical solution of the S fields in the basic SU (3) Yang-Mills-Higgs theory with a single Higgs triplet and find a surprisingly low value of the energy E S , namely an energy of the same order as (and even below) the energy E S of the embedded SU (2) × U (1) sphaleron S [4][5][6].…”

Section: Introductionmentioning

confidence: 98%

SU(3) sphaleron: Numerical solution

Klinkhamer

Nagel

2017

Phys. Rev. D

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We complete the construction of the sphaleron S in SU (3) Yang-Mills-Higgs theory with a single Higgs triplet by solving the reduced field equations numerically. The energy of the SU (3) sphaleron S is found to be of the same order as the energy of a previously known solution, the embedded SU (2) × U (1) sphaleron S. In addition, we discuss S in an extended SU (3) Yang-Mills-Higgs theory with three Higgs triplets, where all eight gauge bosons get an equal mass in the vacuum.This extended SU (3) Yang-Mills-Higgs theory may be considered as a toy model of quantum chromodynamics without quark fields and we conjecture that the S gauge fields play a significant role in the nonperturbative dynamics of quantum chromodynamics (which does not have fundamental scalar fields but gets a mass scale from quantum effects).

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Sphalerons at finite mixing angle

Cited by 86 publications

References 24 publications

Multiphalerons in the weak interactions

Multiphalerons in the weak interactions

Baryon and lepton number violation rates across the electroweak crossover

SU(3) sphaleron: Numerical solution

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