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Vortex mass in the three-dimensional O(2) scalar theory

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arxiv 1808.09276 v2 pith:JP6OSUE6 submitted 2018-08-28 cond-mat.stat-mech cond-mat.supr-conhep-lathep-phhep-th

Vortex mass in the three-dimensional O(2) scalar theory

classification cond-mat.stat-mech cond-mat.supr-conhep-lathep-phhep-th
keywords vortexdimensionsfieldmassscalartheorybeyondboundary
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Krakow Lectures on Scalar Quantum Solitons

    hep-th 2026-05 unverdicted novelty 7.0

    The paper presents Linearized Soliton Perturbation Theory (LSPT) as a new Hamiltonian tool for constructing quantum soliton states and computing their perturbative corrections and scattering.

  2. Krakow Lectures on Scalar Quantum Solitons

    hep-th 2026-05 unverdicted novelty 7.0

    Introduces Linearized Soliton Perturbation Theory (LSPT) as a Hamiltonian tool for explicit construction of quantum soliton states and their perturbative corrections, including scattering applications.

  3. Constructing Quantum Soliton States Despite Zero Modes

    hep-th 2020-06 unverdicted novelty 7.0

    Imposing zero total momentum enables perturbative construction of the quantum ground state for solitons despite zero modes from broken translation invariance.