M. O'carroll

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math-ph2024

On Yang-Mills Stability Bounds and Plaquette Field Generating Function

Paulo A. Faria da Veiga, Michael O'Carroll

We consider the Yang-Mills (YM) QFT with group $U (N)$ . We take a finite lattice regularization $I^ \subset a Z^{d}$ , $d = 2, 3, 4$ , with $a \in (0, 1]$ and $L$ (even) sites on a si…

math-ph2024

Asymptotics for Some Logistic Maps and the Renormalization Group

P. A. Faria da Veiga, M. O'Carroll

We explain the relation between the $r = 1$ logistic map $x_{i + 1} = r x_{i} (1 - x_{i})$ , $x_{i} \in R$ , $i = 0, 1, \dots$ , $r > 0$ and $x_{0} \geq 0$ , and the RG flow in the multiscale analysis of…