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The Strong CP Problem in the Quantum Rotor

Authors :
Albandea, David
Catumba, Guilherme
Ramos, Alberto
Publication Year :
2024

Abstract

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 $\theta$-term on a simple quantum mechanical rotor that allows a lattice description. The topological susceptibility and the $\theta$-dependence of the energy spectrum are both computed using local lattice correlation functions. The sign problem is overcome by considering Taylor expansions in $\theta$ exploiting automatic differentiation methods for Monte Carlo processes. Our findings confirm the conventional wisdom on the strong CP problem.<br />Comment: 11 pages, 6 figures

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2402.17518
Document Type :
Working Paper