Vortex Mass in the Three-Dimensional O(2) Scalar Theory

2018/08/31 by Gesualdo Delfino, W. Selke, Walter Selke +1 · 20 citations
Mathematics · Physics and Astronomy · #Boundary value problem #Geometry #Mathematical physics #Mathematics #Mechanics #Monte Carlo method #Physics #Physics of Superconductivity and Magnetism #Quantum Monte Carlo #Quantum field theory #Quantum many-body systems #Quantum mechanics #Scalar (mathematics) #Scalar field #Theoretical and Computational Physics #Topological defect #Vortex #cond-mat.stat-mech #cond-mat.supr-con #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevlett.122.050602

published in Physical Review Letters 122(5), 050602 (American Physical Society) · 5 pages, 3 figures; comments and references addeed

openalex publication_date 2019/02/08 · arxiv created 2019/02/11 · arxiv updated 2019/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Theoretical estimates of the critical exponents of the superfluid transition inHe<mml:none/><mml:none/><mml:mprescripts/><mml:none/>4by lattice methods
• Comments on Nonlinear Wave Equations as Models for Elementary Particles
• An introduction to lattice gauge theory and spin systems
• Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models
• A Monte Carlo study of the three-dimensionalXYuniversality class: universal amplitude ratios