The Strong CP Problem in the Quantum Rotor
arxiv(2024)
摘要
Recent studies have claimed that the strong CP problem does not occur in QCD,
proposing a new order of limits in volume and topological sectors when studying
observables on the lattice. In order to shed light on this issue, we study the
effect of the topological θ-term on a simple quantum mechanical rotor
that allows a lattice description. The topological susceptibility and the
θ-dependence of the energy spectrum are both computed using local
lattice correlation functions. The sign problem is overcome by considering
Taylor expansions in θ exploiting automatic differentiation methods for
Monte Carlo processes. Our findings confirm the conventional wisdom on the
strong CP problem.
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