Six loop critical exponent analysis for Lee-Yang and percolation theory
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918180184653824 |
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| author | Gracey, J. A. |
| author_facet | Gracey, J. A. |
| contents | Using the recent six loop renormalization group functions for Lee-Yang and percolation theory constructed by Schnetz from a scalar cubic Lagrangian, we deduce the $ε$ expansion of the critical exponents for both cases. Estimates for the exponents in three, four and five dimensions are extracted using two-sided Padé approximants and shown to be compatible with values from other approaches. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05723 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Six loop critical exponent analysis for Lee-Yang and percolation theory Gracey, J. A. High Energy Physics - Theory Statistical Mechanics Using the recent six loop renormalization group functions for Lee-Yang and percolation theory constructed by Schnetz from a scalar cubic Lagrangian, we deduce the $ε$ expansion of the critical exponents for both cases. Estimates for the exponents in three, four and five dimensions are extracted using two-sided Padé approximants and shown to be compatible with values from other approaches. |
| title | Six loop critical exponent analysis for Lee-Yang and percolation theory |
| topic | High Energy Physics - Theory Statistical Mechanics |
| url | https://arxiv.org/abs/2510.05723 |