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Absence of strong CP violation
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abstract
Quantum Chromodynamics admits a CP-violating contribution to the action, the $\theta$ term, which is expected to give rise to a nonvanishing electric dipole moment of the neutron. Despite intensive search, no CP violations have been found in the strong interaction. This puzzle is referred to as the strong CP problem. There is evidence that CP is conserved in the confining theory, to the extent that color charges are totally screened for $\theta > 0$ at large distances. It is not immediately obvious that this implies a vanishing dipole moment though. With this Letter I will close the gap. It is shown that in the infinite volume hadron correlation functions decouple from the topological charge, expressed in terms of the zero modes. The reason is that hadrons have a limited range of interaction, while the density of zero modes vanishes with the inverse root of the volume, thus reducing the probability of finding a zero mode in the vicinity to zero. This implies that CP is conserved in the strong interaction.
Forward citations
Cited by 2 Pith papers
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The Neutron Electric Dipole Moment from Lattice QCD using a Background Electric Field
Using background electric fields, local topological charge, and non-Hermitian GEVP, lattice QCD yields dn = -0.0050(4)stat(8)sys θ-bar e fm at the physical point.
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On the Origins of the Strong CP Problem
The conventional strong CP problem is contingent on extra global topological assumptions about gauge fields that no established QCD observable is shown to require.
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