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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.15160 |
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Table of Contents:
- We analyse the critical properties of a weakly diluted (random) Ising model with the long-range interaction decaying with distance $x$ as $\sim x^{-d-σ}$ in a $d$-dimensional space. It is known to belong to a new long-range random universality class for certain values of the decay parameter $σ$. Exploiting the field-theoretic renormalization group approach within the minimal subtraction scheme, we compute the three-loop renormalization group functions. On their basis, with the help of asymptotic series resummation methods, we estimate the correlation length critical exponent $ν$ characterising the new universality class for $d=3$ and for those values of $σ$ for which long-range interactions are relevant for the critical behaviour.