Indications against dynamical CPT symmetry restoration in quantum gravity

𝐢⁒𝑃⁒𝑇 symmetry is at the heart of the standard model of particle physics and experimentally very well tested, but expected to be broken in some approaches to quantum gravity. It thus becomes pertinent to explore which of the two alternatives is realized: (i) 𝐢⁒𝑃⁒𝑇 symmetry is emergent, so that it is...

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Main Authors: Eichhorn, Astrid (Author) , Schiffer, Marc (Author)
Format: Article (Journal)
Language:English
Published: 6 March, 2026
In: Physical review letters
Year: 2026, Volume: 136, Issue: 9, Pages: 1-7
ISSN:1079-7114
DOI:10.1103/frd8-pg3d
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/frd8-pg3d
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/frd8-pg3d
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Author Notes:Astrid Eichhorn, Marc Schiffer
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Summary:𝐢⁒𝑃⁒𝑇 symmetry is at the heart of the standard model of particle physics and experimentally very well tested, but expected to be broken in some approaches to quantum gravity. It thus becomes pertinent to explore which of the two alternatives is realized: (i) 𝐢⁒𝑃⁒𝑇 symmetry is emergent, so that it is restored in the low-energy theory, even if it is broken beyond the Planck scale, (ii) 𝐢⁒𝑃⁒𝑇 symmetry cannot be emergent and must be fundamental, so that any approach to quantum gravity, in which 𝐢⁒𝑃⁒𝑇 is broken, is ruled out. We explore this by calculating the renormalization group flow of 𝐢⁒𝑃⁒𝑇-violating interactions under the impact of quantum fluctuations of the metric. We find that 𝐢⁒𝑃⁒𝑇 symmetry cannot be emergent and conclude that quantum-gravity approaches must avoid the breaking of 𝐢⁒𝑃⁒𝑇 symmetry. As a specific example, we discover that in asymptotically safe quantum gravity 𝐢⁒𝑃⁒𝑇 symmetry remains intact, if it is imposed as a fundamental symmetry, but it is badly broken at low energies if a tiny amount of 𝐢⁒𝑃⁒𝑇 violation is present in the transplanckian regime.
Item Description:Gesehen am 11.05.2026
Physical Description:Online Resource
ISSN:1079-7114
DOI:10.1103/frd8-pg3d