Critical scaling for spectral functions
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912424398946304 |
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| author | Kockler, Konrad Pawlowski, Jan M. Wessely, Jonas |
| author_facet | Kockler, Konrad Pawlowski, Jan M. Wessely, Jonas |
| contents | We study real-time scalar $ϕ^4$-theory in 2+1 dimensions near criticality. Specifically, we compute the single-particle spectral function and that of the $s$-channel four-point function in and outside the scaling regime. The computation is done with the spectral functional Callan-Symanzik equation, which exhibits manifest Lorentz invariance and preserves causality. We extract the scaling exponent $η$ from the spectral function and compare our result with that from a Euclidean fixed point analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09142 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Critical scaling for spectral functions Kockler, Konrad Pawlowski, Jan M. Wessely, Jonas High Energy Physics - Theory We study real-time scalar $ϕ^4$-theory in 2+1 dimensions near criticality. Specifically, we compute the single-particle spectral function and that of the $s$-channel four-point function in and outside the scaling regime. The computation is done with the spectral functional Callan-Symanzik equation, which exhibits manifest Lorentz invariance and preserves causality. We extract the scaling exponent $η$ from the spectral function and compare our result with that from a Euclidean fixed point analysis. |
| title | Critical scaling for spectral functions |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.09142 |