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Grand-Canonical Ensemble of Random Surfaces with Four Species of Ising Spins
High Energy Physics - Theory · Submitted 28 Jan 1994
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The effective string susceptibility exponent for lattices with up to 1000 vertices is found to be $\gamma = - 0.195(58)$.
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The abstract, sentence by sentence
The grand-canonical ensemble of dynamically triangulated surfaces coupled to four species of Ising spins (c=2) is simulated on a computer. The effective string susceptibility exponent for lattices with up to 1000 vertices is found to be $\gamma = - 0.195(58)$. A specific scenario for $c > 1$ models is conjectured.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The grand-canonical ensemble of dynamically triangulated surfaces coupled to four species of Ising spins (c=2) is simulated on a computer. | contribution 0.51 | 0.94 | 0.05 | asserted 1.00 |
| s1 | The effective string susceptibility exponent for lattices with up to 1000 vertices is found to be $\gamma = - 0.195(58)$. | result 1.00 | 0.95 | 0.53 | asserted 1.00 |
| s2 | A specific scenario for $c > 1$ models is conjectured. | interpretation 0.95 | 0.45 | 0.25 | speculative 1.00 |
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The paper
Original abstract
The grand-canonical ensemble of dynamically triangulated surfaces coupled to four species of Ising spins (c=2) is simulated on a computer. The effective string susceptibility exponent for lattices with up to 1000 vertices is found to be $\gamma = - 0.195(58)$. A specific scenario for $c > 1$ models is conjectured.
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