8 March 2024
Blackett LT
Europe/London timezone

Based on general arguments on how to construct the effective theory of 
hadrons (i.e. chiral perturbation theory--chiPT) from QCD, one may 
arrive at a model with charge-parity (CP) violation, suggesting e.g. an 
electric dipole moment for the neutron. However, the way in which the CP 
phases of QCD appear in chiPT is not unique. In particular, it is 
perfectly possible for these not to show up at all. The actual 
prediction from QCD, i.e. that there is no CP violation, can be 
understood when taking into account that the contour of path integration 
subsequently sweeps over complete topological sectors (i.e. the 
different ways in which one sphere may be wrapped around another) in 
infinite spacetime volume. A complementary argument is that in contrast 
to the commonly discussed theta-vacua that are reminescent of Bloch 
states, the wave-functionals in the strong interactions are after all 
properly normalizable. Their form is pinned uniquely by demanding that 
the gauge-fixed Hamiltonian is Hermitian.

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