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.

Vortex Mass in the Three-Dimensional O(2) Scalar Theory / Delfino, Gesualdo; Selke, Walter; Squarcini, Alessio. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 122:5(2019), pp. 1-5. [10.1103/PhysRevLett.122.050602]

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

Delfino, Gesualdo
;
Squarcini, Alessio
2019

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.
122
5
1
5
050602
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.050602
https://arxiv.org/abs/1808.09276
Delfino, Gesualdo; Selke, Walter; Squarcini, Alessio
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/87977
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