Introduces Linearized Soliton Perturbation Theory (LSPT) as a Hamiltonian tool for explicit construction of quantum soliton states and their perturbative corrections, including scattering applications.
Vortex mass in the three-dimensional $O(2)$ scalar theory
2 Pith papers cite this work, alongside 19 external citations. Polarity classification is still indexing.
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abstract
We study the spontaneously broken phase of the $XY$ model in three dimensions, with boundary conditions enforcing the presence of a vortex line. Comparing Monte Carlo and field theoretic determinations of the magnetization and energy density profiles, we numerically determine the mass of the vortex particle in the underlying $O(2)$-invariant quantum field theory. The result shows, in particular, that the obstruction posed by Derrick's theorem to the existence of stable topological particles in scalar theories in more than two dimensions does not in general persist beyond the classical level.
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UNVERDICTED 2representative citing papers
Imposing zero total momentum enables perturbative construction of the quantum ground state for solitons despite zero modes from broken translation invariance.
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Krakow Lectures on Scalar Quantum Solitons
Introduces Linearized Soliton Perturbation Theory (LSPT) as a Hamiltonian tool for explicit construction of quantum soliton states and their perturbative corrections, including scattering applications.
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Constructing Quantum Soliton States Despite Zero Modes
Imposing zero total momentum enables perturbative construction of the quantum ground state for solitons despite zero modes from broken translation invariance.