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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.21799 |
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| _version_ | 1866912892133048320 |
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| author | Sahu, Sankarshan |
| author_facet | Sahu, Sankarshan |
| contents | We show how to compute the probability distributions of the order parameter of the $O(n)$ model at two-loop order of perturbation theory generalizing the methods developed for computing the same in case of the Ising model \cite{Sahu:2025bkp}. We show that even for the $O(n)$ model, there exists not one but a family of these probability distribution functions indexed by $ζ$ which is the ratio of system size $L$ to the bulk correlation length $ξ_{\infty}$. We also compare these PDFs to the Monte-Carlo simulations and the existing FRG results for the $O(2)$ and $O(3)$ models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_21799 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Critical Probability Distributions of the order parameter at two loops II: $O(n)$ universality class Sahu, Sankarshan Statistical Mechanics High Energy Physics - Theory We show how to compute the probability distributions of the order parameter of the $O(n)$ model at two-loop order of perturbation theory generalizing the methods developed for computing the same in case of the Ising model \cite{Sahu:2025bkp}. We show that even for the $O(n)$ model, there exists not one but a family of these probability distribution functions indexed by $ζ$ which is the ratio of system size $L$ to the bulk correlation length $ξ_{\infty}$. We also compare these PDFs to the Monte-Carlo simulations and the existing FRG results for the $O(2)$ and $O(3)$ models. |
| title | Critical Probability Distributions of the order parameter at two loops II: $O(n)$ universality class |
| topic | Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.21799 |