Proof that $$\delta =2$$ δ = 2 and $$\beta =1$$ β = 1 under the Triangle Condition
| Autor: | Markus Heydenreich, Remco van der Hofstad |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | CRM Short Courses ISBN: 9783319624723 |
| DOI: | 10.1007/978-3-319-62473-0_9 |
| Popis: | We use the finiteness of the triangle diagram in order to establish that certain critical exponents take on their mean-field values. We again rely on the differential inequalities developed in chapter 3, and complement them with a differential inequality involving the triangle diagram. We then prove that, under the triangle condition, the critical exponents \(\delta \) and \(\beta \) take on their mean-field values \(\delta \) = 2 and \(\beta \) = 1. |
| Databáze: | OpenAIRE |
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