The non-perturbative sides of the Kardar-Parisi-Zhang equation
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911311107981312 |
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| author | Canet, Léonie |
| author_facet | Canet, Léonie |
| contents | The Kardar-Parisi-Zhang (KPZ) equation is a celebrated non-linear stochastic dynamical equation yielding non-equilibrium universal scaling. It exhibits notorious non-perturbative aspects. The KPZ fixed point is strong-coupling, all the more in $d>1$. Strikingly, another, even stronger-coupling fixed point of the KPZ equation, called inviscid Burgers fixed point, has been recently unveiled. These non-pertubative features can be theoretically accessed and studied in a controlled way in all dimensions using the functional renormalisation group. We propose an overview of the related results, which provide a unified picture of the fixed-point structure and associated scaling regimes of the KPZ equation in $d=1$ and in higher dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01472 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The non-perturbative sides of the Kardar-Parisi-Zhang equation Canet, Léonie Statistical Mechanics The Kardar-Parisi-Zhang (KPZ) equation is a celebrated non-linear stochastic dynamical equation yielding non-equilibrium universal scaling. It exhibits notorious non-perturbative aspects. The KPZ fixed point is strong-coupling, all the more in $d>1$. Strikingly, another, even stronger-coupling fixed point of the KPZ equation, called inviscid Burgers fixed point, has been recently unveiled. These non-pertubative features can be theoretically accessed and studied in a controlled way in all dimensions using the functional renormalisation group. We propose an overview of the related results, which provide a unified picture of the fixed-point structure and associated scaling regimes of the KPZ equation in $d=1$ and in higher dimensions. |
| title | The non-perturbative sides of the Kardar-Parisi-Zhang equation |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2509.01472 |