Fighting topological freezing in the two-dimensional CP N-1 model
We perform Monte Carlo simulations of the CPN−1 model on the square lattice for N=10, 21, and 41. Our focus is on the severe slowing down related to instantons. To fight this problem we employ open boundary conditions as proposed by Lüscher and Schaefer for lattice QCD. Furthermore we test the effi...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
8 September 2017
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| In: |
Physical review
Year: 2017, Volume: 96, Issue: 5, Pages: 1-18 |
| ISSN: | 2470-0029 |
| DOI: | 10.1103/PhysRevD.96.054504 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevD.96.054504 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.96.054504 
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| Author Notes: | Martin Hasenbusch |
| Summary: | We perform Monte Carlo simulations of the CPN−1 model on the square lattice for N=10, 21, and 41. Our focus is on the severe slowing down related to instantons. To fight this problem we employ open boundary conditions as proposed by Lüscher and Schaefer for lattice QCD. Furthermore we test the efficiency of parallel tempering in a line defect. Our results for open boundary conditions are consistent with the expectation that topological freezing is avoided, while autocorrelation times are still large. The results obtained with parallel tempering are encouraging. |
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| Item Description: | Im Titel ist "N-1" hochgestellt Gesehen am 30.06.2022 |
| Physical Description: | Online Resource |
| ISSN: | 2470-0029 |
| DOI: | 10.1103/PhysRevD.96.054504 |