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A New Non-Renormalization Theorem from UV/IR Mixing

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arxiv 2407.11160 v1 pith:UVOG6VDB submitted 2024-07-15 hep-th hep-ph

classification hep-thhep-ph
keywords mixingtheoremtheoriesquantitiesrunningsupersymmetryapplygauge
verification ladder T0 review T1 audit T2 compute T3 formal
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In this paper, we prove a new non-renormalization theorem which arises from UV/IR mixing. This theorem and its corollaries are relevant for all four-dimensional tachyon-free closed string theories which can be realized from higher-dimensional theories via geometric compactifications. As such, they therefore apply regardless of the presence or absence of spacetime supersymmetry and regardless of the gauge symmetries or matter content involved. This theorem resolves a hidden clash between modular invariance and the process of decompactification, and enables us to uncover a number of surprising phenomenological properties of these theories. Chief among these is the fact that certain physical quantities within such theories cannot exhibit logarithmic or power-law running and instead enter an effective fixed-point regime above the compactification scale. This cessation of running occurs as the result of the UV/IR mixing inherent in the theory. These effects apply not only for gauge couplings but also for the Higgs mass and other quantities of phenomenological interest, thereby eliminating the logarithmic and/or power-law running that might have otherwise appeared for such quantities. These results illustrate the power of UV/IR mixing to tame divergences -- even without supersymmetry -- and reinforce the notion that UV/IR mixing may play a vital role in resolving hierarchy problems without supersymmetry.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. When Renormalisation Remembers: UV/IR Mixing as an Entanglement Bridge

    hep-th 2026-06 unverdicted novelty 8.0 of 10

    Introduces the Born-Reciprocal Tensor Network to realize UV/IR mixing as an entanglement bridge in renormalization geometry, with a large-volume limit restoring standard Wilsonian decoupling.

  2. Kaluza-Klein tower thresholds and scheme dependence of the species scale

    hep-th 2026-07 accept novelty 6.5 of 10

    Leading KK-tower local corrections to four-derivative gravity are regulator-dependent EFT matching data, while log N terms are universal within proper-time cutoffs, so species-scale definitions match only parametrically.

  3. Geometric noise spectrum in interferometers

    hep-th 2026-01 conditional novelty 6.0 of 10

    The noise spectrum an interferometer would see from quantum spacetime jitter is computed for vacuum, thermal, squeezed, and scalar-backreaction states; all are Planck-suppressed.

  4. Regulator and gauge dependence of the Abelian gauge coupling in asymptotically safe quantum gravity

    hep-th 2025-08 unverdicted novelty 6.0 of 10

    The existence of an asymptotically safe UV completion for the Abelian gauge coupling is shown to survive simultaneous variations of the regulator and gauge parameters in certain minimal-sensitivity regions.

  5. Geometric noise spectrum in interferometers

    hep-th 2026-01 unverdicted novelty 5.0 of 10

    Computes UV-finite noise spectra in interferometers from graviton fluctuations in vacuum/thermal/squeezed states and from massless scalar vacuum stress-energy, all Planck-suppressed.

  6. Light scalars in light of UV/IR mixing: classicalization via synergy between Vainshtein and chameleon screenings

    hep-ph 2025-11 conditional novelty 5.0 of 10

    Classicalizing k-essence scalars need m << Λ* and, when potentials or fermion couplings are present, a chameleon-like screening layer to keep Vainshtein screening and classicalon stability intact.

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