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Precision estimates of large charge RG exponents Yq in the 3D XY universality class

Martin Hasenbusch

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Phys. Rev. D 113, 014507 – Published 26 January, 2026

DOI: https://doi.org/10.1103/bnlx-8q4q

Abstract

We accurately compute the renormalization group (RG) exponents Yq of large q fields at the O(2) invariant fixed point in three dimensions. We build on an iterative approach that has been previously proposed and is implemented by using the worm algorithm. We simulate an improved XY model, that has next-to-next-to-nearest couplings in addition to nearest ones. In the worm update we incorporate weights, which allows us to obtain accurate results up to q=64. For example we get Yq=1.76370(12), 0.89167(23), and −0.11203(34) for q=2, 3, and 4, respectively. The comparison with the large q effective field theory gives an excellent agreement down to q=4 and provides accurate estimates of the parameters of the effective field theory.

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Phys. Rev. D 113, 014507– Published 26 January, 2026
  • Received 30 November 2025
  • Accepted 7 January 2026
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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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