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Strong-CP with and without gravity
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Strong-CP with and without gravity
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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 7 Pith papers
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Quantum (non)equivalence of dual massive $p$-form gauge theories
Path integral quantization of topologically coupled massive p-form theories shows quantum duality breaking on non-trivial backgrounds, with the difference in required counterterms proportional to the Euler characteristic.
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Quantum (non)equivalence of dual massive $p$-form gauge theories
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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On the predictivity of axion dark matter in the presence of Peccei-Quinn breaking
Small explicit Peccei-Quinn breaking introduces a mass scale μ that can dominate early axion dynamics, causing the string-wall network to annihilate earlier and making relic abundance depend on both μ and f_a rather t...
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Dark Matter and Strong CP Problem in Type IIA String Theory
Type IIA orientifold model with D6-branes stabilizes moduli via STU and KL, predicts axion-neutralino dark matter, and uses four-form flux to address strong CP problem.
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QCD axion from broken scale symmetry
Dilaton from broken scale symmetry meets all conditions for non-compact QCD axion cosmology including non-periodicity and timely domain-wall collapse.
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On the $\uptheta$-vacua and CP violation
The θ-vacuum structure in QCD produces observable CP violation when the theory is consistently quantized with boundary degrees of freedom accounted for in the infinite-volume limit.
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CP conservation in the strong interactions
CP conservation in QCD follows from taking the infinite volume limit prior to summing over topological sectors, shown consistent with steepest-descent contours and chiral EFT.
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