Quantum Solitons in the Electroweak Theory

Details Quantum Solitons in the Electroweak Theory Quantum Solitons in the Electroweak Theory

2003-10-27

arxiv.org/abs/hep-th/0310249v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 2 figures; LaTex using Rinton-P9x6.cls; based on a talk given by the author at the QFEXT03 workshop, Norman, Oklahom

Scientific paper

We explore the space of solutions of the classical equations of motion in the Euclidean electroweak theory. We sketch a topological prescription that finds known solutions and indicates the existence of novel ones. All spatially-varying, time-independent solutions are unstable. However, if we consider quantum fluctuations around static classical configurations, it may be possible to find stable solutions called quantum solitons. Such objects carry a conserved quantum number, in analogy with a topological soliton carrying a topological charge. We explain the mechanism and motivation for the existence of a quantum soliton and describe our search for one within a spherical ansatz. We also comment on promising candidates outside the ansatz.

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