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Strong-$CP$ with and without gravity
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abstract
Conventionally, the strong-$CP$ problem is assumed to be a naturalness puzzle, with the axion solution sometimes viewed as an ad hoc fix. Gravity is either ignored or taken as a threat for the global Peccei-Quinn symmetry. We explain that the situation is fundamentally different. In gravity, axion is a matter of consistency imposed by the $S$-matrix: Each gauge sector must include axion with exact relaxation of the corresponding $\bar{\theta}$. We show that this favors an alternative and remarkably simple formulation of the axion, fully fixed by the gauge redundancy of QCD, without involvement of a global symmetry. The axion mechanism is a Higgs effect for the QCD $3$-form, ensuring that physics is independent of $\bar{\theta}$ to all orders in operator expansion. A near-future experimental detection of the neutron EDM will be an unambiguous signal of $CP$-violating physics beyond the Standard Model. The axion coupling is tied to the scale of gravity.
Forward citations
Cited by 5 Pith papers
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On the Gravitational Origin of the QCD Axion
Derivative-coupled gravitational axions cannot solve the strong CP problem; Weyl-invariant Einstein-Cartan gravity is identified as the only promising framework for a gravitational QCD axion.
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Quantum corrections break the classical duality between massive p-form and (d−p−1)-form gauge theories on topologically non-trivial spacetimes, with counterterm difference equal to the Euler characteristic.
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Emergent Dark Matter
Dark matter is modeled as the emergent massive in-medium state of a 3-form gauge field that otherwise behaves as dark energy.
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Fine-tuning problems in type IIA string theory
A type IIA T^6/(Z2xZ2) orientifold with KL stabilization is claimed to address strong CP, hierarchy, and cosmological constant fine-tuning, but the concrete vacuum analysis only produces a Minkowski vacuum with u=0.
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An experience report claims a Type 2 digital twin for beer fermentation reduces manual sampling time by 91% and enables control at seven bar.
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