Strong CP problem in the quantum rotor
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909404722364416 |
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| author | Albandea, David Catumba, Guilherme Ramos, Alberto |
| author_facet | Albandea, David Catumba, Guilherme Ramos, Alberto |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17518 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strong CP problem in the quantum rotor Albandea, David Catumba, Guilherme Ramos, Alberto High Energy Physics - Lattice High Energy Physics - Phenomenology 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. |
| title | Strong CP problem in the quantum rotor |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2402.17518 |