Are nontopological strings produced at the electroweak phase transition?

Abstract

We formulate a local condition for a nontopological defect to be present. We apply it for electroweak strings and estimate the probability of their existence at the Ginzburg temperature. As a result we find strings long enough to serve for baryon-number generation are unlikely to be produced.

12 pages (REVTeX), no figure, Physical Review Letters in press

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• Semilocal string formation in two dimensions
• String Holonomy and Extrinsic Geometry in Four-dimensional Topological Gauge Theory
• Topological Defects in the Georgi-Machacek Model
• Bubble collisions in SU(2)xU(1) gauge theory and the production of non-topological strings
• Effect of pre-existing baryon inhomogeneities on the dynamics of quark-hadron transition
• Formation of multiple winding topological defects in the early universe
• On the formation of non-topological string networks
• Decay of baryon inhomogeneities in an expanding universe