Electroweak instantons alone do not produce Majoron domain walls; a tiny instanton mass from B+L breaking is cosmologically negligible and can act as a bias or dark energy.
Electroweak Instantons, Axions, and the Cosmological Constant
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If there is explicit violation of baryon plus lepton number at some energy scale, then the electroweak theory depends upon a {\theta}-angle. Due to a singular integration over small scale size instantons, this {\theta}-dependence is sensitive to very high momentum scales. Assuming that there is no new physics between the electroweak and Planck scales, for an electroweak axion the energy difference between the vacuum at {\theta} /= 0, and that at {\theta} = 0, is of the correct order of magnitude to be the dark energy observed in the present epoch.
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About electroweak domain walls in Majoron models
Electroweak instantons alone do not produce Majoron domain walls; a tiny instanton mass from B+L breaking is cosmologically negligible and can act as a bias or dark energy.