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  • Letter
  • Open Access

Winding number dependence of quantum vortex energies at one-loop

N. Graham1 and H. Weigel2

  • 1Department of Physics, Middlebury College Middlebury, Vermont 05753, USA
  • 2Institute for Theoretical Physics, Physics Department, Stellenbosch University, Matieland 7602, South Africa

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Phys. Rev. D 104, L011901 – Published 9 July, 2021

DOI: https://doi.org/10.1103/PhysRevD.104.L011901

Abstract

We compute the one-loop vacuum polarization energies of Abrikosov-Nielsen-Olesen vortices with topological charge n in scalar electrodynamics, for the Bogomolny-Prasad-Sommerfeld case of equal gauge and scalar masses. This calculation allows us to investigate the relationship between the winding number and the quantum-corrected vortex energy, which in turn determines the stability of higher winding configurations against decay into configurations with unit winding. While the classical energy is proportional to n, we find that the vacuum polarization energy is negative and approximately proportional to n−1 with a small constant offset.

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Phys. Rev. D 104, L011901– Published 9 July, 2021
  • Received 29 April 2021
  • Accepted 22 June 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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