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Quantum Solitons in the Electroweak Theory

Vishesh Khemani
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Abstract

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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Vishesh Khemani. 2003-10-27. Quantum Solitons in the Electroweak Theory. https://arxiv.org/abs/hep-th/0310249

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