Critical coupling in $ϕ_2^4$ theory
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912773500305408 |
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| author | Durr, Stephan Kiel, Tolga S. H. |
| author_facet | Durr, Stephan Kiel, Tolga S. H. |
| contents | We consider $ϕ^4$ theory with $ϕ(x)\in\mathbb{R}$ in two Euclidean dimensions. We determine for a variety of self-couplings $\hatλ$ the (negative) critical bare mass $\hatμ_{0\mathrm{c}}^2(\hatλ)$ where the lattice-regularized system changes from the symmetric to the broken phase. Based on these data, the transition to infinite volume and a universal scheme with the renormalized parameter $\hatμ_\mathrm{c}^2(\hatλ)$ is made. Finally, $f_\mathrm{c}=\lim_{\hatλ\to0}\hatλ/\hatμ_\mathrm{c}^2(\hatλ)$ is determined, with a judicious choice of the parameterizations considered. Our final result reads $f_\mathrm{c}=11.1097(20)_\mathrm{stat}(09)_\mathrm{sys}=11.1097(22)_\mathrm{tot}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16536 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Critical coupling in $ϕ_2^4$ theory Durr, Stephan Kiel, Tolga S. H. High Energy Physics - Lattice Statistical Mechanics We consider $ϕ^4$ theory with $ϕ(x)\in\mathbb{R}$ in two Euclidean dimensions. We determine for a variety of self-couplings $\hatλ$ the (negative) critical bare mass $\hatμ_{0\mathrm{c}}^2(\hatλ)$ where the lattice-regularized system changes from the symmetric to the broken phase. Based on these data, the transition to infinite volume and a universal scheme with the renormalized parameter $\hatμ_\mathrm{c}^2(\hatλ)$ is made. Finally, $f_\mathrm{c}=\lim_{\hatλ\to0}\hatλ/\hatμ_\mathrm{c}^2(\hatλ)$ is determined, with a judicious choice of the parameterizations considered. Our final result reads $f_\mathrm{c}=11.1097(20)_\mathrm{stat}(09)_\mathrm{sys}=11.1097(22)_\mathrm{tot}$. |
| title | Critical coupling in $ϕ_2^4$ theory |
| topic | High Energy Physics - Lattice Statistical Mechanics |
| url | https://arxiv.org/abs/2512.16536 |