History of Critical exponents of the two-dimensional universality classes

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compare when who what
2026-09-07 01:45 bmatschke tagged "statistical mechanics": six tables on critical phenomena carried only "physics" and "combinatorics", which does not distinguish them from anything current reviewed
2026-09-06 13:33 bmatschke the arXiv number of 8 references was in the sentence, where it is text; moved to the `arxiv` field, which the page renders as a link to the abstract
2026-09-06 07:32 zeta3 after the critique: the definition defines tau, sigma and d_f by their laws and gives the walk only d_f; delta = 15 cited to Camia, Garban and Newman; the complete-note attaches "not known exactly" to the three-dimensional classes only; the Kac check names which dimensions it covers
2026-09-06 07:15 zeta3 with Claude Code, table-build exact critical exponents alpha, beta, gamma, delta, nu, eta of the two-dimensional Ising, 3-state Potts, 4-state Potts, percolation and self-avoiding-walk classes, with sigma, tau and d_f of percolation and d_f of the walk, 34 rationals from the Coulomb-gas coupling of each class with the scaling re
2026-09-06 07:15 zeta3 checking that this table can be written to
2026-09-06 07:14 zeta3 with Claude Code, table-build@bc74763 draft: critical exponents of the two-dimensional universality classes, prose first, entries to follow from generate.py

What changed between 2026-09-06 07:15 and 2026-09-06 07:15

from line 296 (148 lines, 145 more than before) @@ -296,3 +296,148 @@
 Display properties:   number-header: value-Numbers: []+Numbers:+- params:+    class: ising+    exponent: alpha+  number: '0'+  comment: The specific heat diverges logarithmically, $C\propto-\ln|t|$ CITE{Onsager}.+- params:+    class: ising+    exponent: beta+  number: 1/8+- params:+    class: ising+    exponent: gamma+  number: 7/4+- params:+    class: ising+    exponent: delta+  number: '15'+- params:+    class: ising+    exponent: nu+  number: '1'+- params:+    class: ising+    exponent: eta+  number: 1/4+- params:+    class: potts3+    exponent: alpha+  number: 1/3+- params:+    class: potts3+    exponent: beta+  number: 1/9+- params:+    class: potts3+    exponent: gamma+  number: 13/9+- params:+    class: potts3+    exponent: delta+  number: '14'+- params:+    class: potts3+    exponent: nu+  number: 5/6+- params:+    class: potts3+    exponent: eta+  number: 4/15+- params:+    class: potts4+    exponent: alpha+  number: 2/3+  comment: With multiplicative logarithmic corrections, as every 4-state Potts exponent+    CITE{SalasSokal}.+- params:+    class: potts4+    exponent: beta+  number: 1/12+- params:+    class: potts4+    exponent: gamma+  number: 7/6+- params:+    class: potts4+    exponent: delta+  number: '15'+- params:+    class: potts4+    exponent: nu+  number: 2/3+- params:+    class: potts4+    exponent: eta+  number: 1/4+- params:+    class: percolation+    exponent: alpha+  number: -2/3+  comment: The existence of $\alpha$ is open; the value follows from $\nu=\frac43$+    by $2-\alpha=2\nu$ CITE{SmirnovWerner}.+- params:+    class: percolation+    exponent: beta+  number: 5/36+- params:+    class: percolation+    exponent: gamma+  number: 43/18+- params:+    class: percolation+    exponent: delta+  number: 91/5+- params:+    class: percolation+    exponent: nu+  number: 4/3+- params:+    class: percolation+    exponent: eta+  number: 5/24+- params:+    class: percolation+    exponent: sigma+  number: 36/91+- params:+    class: percolation+    exponent: tau+  number: 187/91+- params:+    class: percolation+    exponent: df+  number: 91/48+  comment: $d_f=2-\frac{5}{48}$, the fractal dimension of the incipient infinite cluster;+    $\frac{5}{48}$ is the one-arm exponent CITE{LSW}.+- params:+    class: saw+    exponent: alpha+  number: 1/2+- params:+    class: saw+    exponent: beta+  number: 5/64+- params:+    class: saw+    exponent: gamma+  number: 43/32+- params:+    class: saw+    exponent: delta+  number: 91/5+- params:+    class: saw+    exponent: nu+  number: 3/4+- params:+    class: saw+    exponent: eta+  number: 5/24+- params:+    class: saw+    exponent: df+  number: 4/3+  comment: $d_f=\frac1\nu$, the fractal dimension of the walk and of the trace of+    $\mathrm{SLE}_{8/3}$ CITE{LSW2004} CITE{Beffara}. 

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