2003/10/27 by Vishesh Khemani, Khemani, Vishesh
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Applications #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0310249
11 pages, 2 figures; LaTex using Rinton-P9x6.cls; based on a talk given by the author at the QFEXT03 workshop, Norman, Oklahoma, September 2003
arxiv created 2003/10/27 · openalex publication_date 2003/10/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.