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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.14628 |
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| _version_ | 1866914627753869312 |
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| author | Horsley, Roger Pendleton, Brian Wack, Julian |
| author_facet | Horsley, Roger Pendleton, Brian Wack, Julian |
| contents | Motivated by the similarity to QCD, specifically the property of asymptotic freedom, we simulate the dynamics of the SU(2) $\times$ SU(2) model in two dimensions using the Hybrid Monte Carlo algorithm. By introducing Fourier Acceleration, we show that critical slowing down is largely avoided and increases the simulation efficiency by up to a factor of 300. This yields numerical predictions at a precision exceeding that of existing studies and allows us to verify the onset of asymptotic scaling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_14628 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hybrid Monte Carlo Simulation with Fourier Acceleration of the $N=2$ Principal Chiral Model in two Dimensions Horsley, Roger Pendleton, Brian Wack, Julian High Energy Physics - Lattice Motivated by the similarity to QCD, specifically the property of asymptotic freedom, we simulate the dynamics of the SU(2) $\times$ SU(2) model in two dimensions using the Hybrid Monte Carlo algorithm. By introducing Fourier Acceleration, we show that critical slowing down is largely avoided and increases the simulation efficiency by up to a factor of 300. This yields numerical predictions at a precision exceeding that of existing studies and allows us to verify the onset of asymptotic scaling. |
| title | Hybrid Monte Carlo Simulation with Fourier Acceleration of the $N=2$ Principal Chiral Model in two Dimensions |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2308.14628 |