A saddle-point solution in the Weinberg-Salam theory

Klinkhamer, F. R.; Manton, N. S.

doi:10.1103/physrevd.30.2212

Cited by 1,177 publications

(1,225 citation statements)

References 17 publications

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“…It has been shown [25,26] that the system must pass an energy barrier. The static and unstable configuration at the minimum barrier height is called a sphaleron, and its energy is the sphaleron energy.…”

Section: Sphaleronmentioning

confidence: 99%

Chern-Simons and winding number in a tachyonic electroweak transition

Meulen

Sexty

Smit

et al. 2006

J. High Energy Phys.

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Abstract:We investigate the development of winding number and Chern-Simons number in a tachyonic transition in the SU(2) Higgs model, motivated by the scenario of cold electroweak baryogenesis. We find that localized configurations with approximately halfinteger winding number, dubbed half-knots, play an important role in this process. When the Chern-Simons number adjusts locally to the winding number, the half-knots can stabilize and acquire half-integer Chern-Simons number as well. We present two examples from numerical simulations: one half-knot that stabilizes early and one that gives rise to a late sphaleron transition. We also study the winding number distribution after the transition and present new results on the development of the Chern-Simons susceptibility.

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Section: Sphaleronmentioning

confidence: 99%

Chern-Simons and winding number in a tachyonic electroweak transition

Meulen

Sexty

Smit

et al. 2006

J. High Energy Phys.

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“…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%

“…Here g is the SU(2) gauge coupling, α w = g 2 /4π; ω − might generically be called the dynamical prefactor, and is related to the absolute value of the negative eigenvalue of the fluctuation operator around the sphaleron solution; N tr (N V) rot are normalisation factors related to the zero-modes of the fluctuation operator; κ contains the contributions of the positive modes; and E sph is the energy of the saddle-point configuration (the sphaleron) [26].…”

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.

101

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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“…In this way the parameters depend only on σ. We take σ = 1, for which the parameters have the values A = 1.15 and B = 1.25 [14].…”

Section: Projection Of the Dynamics Of The Gauge And Higgs Fields Ontmentioning

confidence: 99%

“…The parameters A, B were determined by minimizing the energy for the static field configuration at Θ = π/2 in [14], in order to obtain an estimate for the sphaleron energy. In this way the parameters depend only on σ.…”

Section: Projection Of the Dynamics Of The Gauge And Higgs Fields Ontmentioning

confidence: 99%

Asymmetric Chern–Simons number diffusion from CP-violation

Nauta

Arrizabalaga

2002

Nuclear Physics B

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We study Chern-Simons number diffusion in a SU(2)-Higgs model with CP-odd dimensioneight operators. We find that the thermal average of the magnitude of the velocity of the Chern-Simons number depends on the direction of the velocity. This implies that the distribution function of the Chern-Simons number will develop an asymmetry. It is argued that this asymmetry manifests itself through a linear growth of the expectation value of the third power of the Chern-Simons number. This linear behavior of the third power of a coordinate of a periodic direction is verified by a numerical solution of a one-dimensional Langevin equation. Further, we make some general remarks on thermal averages and on the possibility of the generation of the baryon asymmetry in a non-equilibrium situation due to asymmetric diffusion of the Chern-Simons number.

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A saddle-point solution in the Weinberg-Salam theory

Cited by 1,177 publications

References 17 publications

Chern-Simons and winding number in a tachyonic electroweak transition

Chern-Simons and winding number in a tachyonic electroweak transition

Baryon and lepton number violation rates across the electroweak crossover

Asymmetric Chern–Simons number diffusion from CP-violation

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