Self-avoiding walk, spin systems and renormalization
The self-avoiding walk, and lattice spin systems such as the φ⁴ model, are models of interest both in mathematics and in physics. Many of their important mathematical problems remain unsolved, particularly those involving critical exponents. We survey some of these problems, and report on recent adv...
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| Veröffentlicht in: | Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2019-01, Vol.475 (2221), p.1-21 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | The self-avoiding walk, and lattice spin systems such as the φ⁴ model, are models of interest both in mathematics and in physics. Many of their important mathematical problems remain unsolved, particularly those involving critical exponents. We survey some of these problems, and report on recent advances in their mathematical understanding via a rigorous non-perturbative renormalization group method. |
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| ISSN: | 1364-5021 1471-2946 |