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High Energy Physics - Theory

arXiv:2606.22078 (hep-th)
[Submitted on 20 Jun 2026]

Title:Metamorphosis of fractional instantons on a twisted $T^4$ with a double-trace deformation: a numerical study

Authors:Benjamin Dobozy, Erich Poppitz
View a PDF of the paper titled Metamorphosis of fractional instantons on a twisted $T^4$ with a double-trace deformation: a numerical study, by Benjamin Dobozy and Erich Poppitz
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Abstract:We use numerical minimization of the lattice action of trace-deformed Yang-Mills theory on $T^4$ with twisted boundary conditions to find the classical minimum action configurations of fractional topological charge. We vary the twists and ratios of torus periods to interpolate between different $R^{4-k} \times T^k$ geometries. This allows us to see how the corresponding minimum action saddle point configurations -- monopole-instantons ($k=1$), center vortices ($k=2$), and fractional instantons ($k=3,4$) -- morph into each other. We also study how the transition between them depends on the presence of a deformation potential. In particular, we argue that the recent analytic picture of chains of monopole-instantons collimating their flux into center-vortex sheets, while technically relying on the deformation potential, also holds in pure Yang-Mills theory, for tori whose shape causes the abelianization due to the deformation to align with the one due to the twists. Our results also indicate that with nonzero deformation potential, some transitions between different minimal-action fractional charge configurations may be discontinuous and involve level crossing.
Comments: 40 pages, 13 figures
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:2606.22078 [hep-th]
  (or arXiv:2606.22078v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2606.22078
arXiv-issued DOI via DataCite

Submission history

From: Erich Poppitz [view email]
[v1] Sat, 20 Jun 2026 14:52:37 UTC (1,497 KB)
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