Strong-coupling expansion and two-point Padé approximation for lattice $ϕ^4$ field theory
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866915990429761536 |
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| author | Zhu, Yuanran Kökcü, Efekan Yang, Chao |
| author_facet | Zhu, Yuanran Kökcü, Efekan Yang, Chao |
| contents | Reliable approximations for correlation functions at intermediate and strong coupling remain hard to obtain for general quantum field theories. Perturbative expansions are often asymptotic or have a finite radius of convergence, which limits their applicability beyond weak coupling. Here we combine weak- and strong-coupling expansions and propose to use two-point Padé schemes to construct approximants. For lattice $ϕ^4$ theory, we show that this two-point interpolation strategy yields accurate global approximations to the two-point correlation function across broad coupling regimes and compares favorably with standard one-point resummation methods. We also provide heuristic explanations for the observed convergence behavior and discuss the practical range of validity of the approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_00525 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Strong-coupling expansion and two-point Padé approximation for lattice $ϕ^4$ field theory Zhu, Yuanran Kökcü, Efekan Yang, Chao High Energy Physics - Lattice Statistical Mechanics Mathematical Physics Reliable approximations for correlation functions at intermediate and strong coupling remain hard to obtain for general quantum field theories. Perturbative expansions are often asymptotic or have a finite radius of convergence, which limits their applicability beyond weak coupling. Here we combine weak- and strong-coupling expansions and propose to use two-point Padé schemes to construct approximants. For lattice $ϕ^4$ theory, we show that this two-point interpolation strategy yields accurate global approximations to the two-point correlation function across broad coupling regimes and compares favorably with standard one-point resummation methods. We also provide heuristic explanations for the observed convergence behavior and discuss the practical range of validity of the approach. |
| title | Strong-coupling expansion and two-point Padé approximation for lattice $ϕ^4$ field theory |
| topic | High Energy Physics - Lattice Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2604.00525 |