Testing Scalar Field Self-Dualities in d=2 using a Variational Method
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| Format: | Preprint |
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2026
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| _version_ | 1866911669050933248 |
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| author | Romatschke, Paul Romatschke, Ulrike |
| author_facet | Romatschke, Paul Romatschke, Ulrike |
| contents | Recently, self-dualities based on saddle-point expansions have been proposed as a means to obtain qualitative non-perturbative information in scalar field theories. In this work, we test this proposition quantitatively by studying the phase transition for critical scalar $ϕ^4$ field theory in 1+1 dimensions using a variational method. We find that saddle-point methods obtain quantitative agreement for the free energy, but differ on the order of 25 percent for the peak location of the correlation length. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_15988 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Testing Scalar Field Self-Dualities in d=2 using a Variational Method Romatschke, Paul Romatschke, Ulrike High Energy Physics - Theory High Energy Physics - Lattice Nuclear Theory Recently, self-dualities based on saddle-point expansions have been proposed as a means to obtain qualitative non-perturbative information in scalar field theories. In this work, we test this proposition quantitatively by studying the phase transition for critical scalar $ϕ^4$ field theory in 1+1 dimensions using a variational method. We find that saddle-point methods obtain quantitative agreement for the free energy, but differ on the order of 25 percent for the peak location of the correlation length. |
| title | Testing Scalar Field Self-Dualities in d=2 using a Variational Method |
| topic | High Energy Physics - Theory High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2604.15988 |