M. O'carroll

collaborators

3 papers

hep-th2026

On Charge Conjugation, Correlations, Elitzur's Theorem and the Mass Gap Problem in Lattice $S U (N)$ Yang-Mills Models in $d = 4$ Dimensions

Paulo A. Faria da Veiga, Michael O'Carroll

We consider a four-dimensional Euclidean Wilson lattice Yang-Mills model with gauge group $S U (N)$ , and the associated lattice Euclidean quantum field theory constructed by Osterwal…

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…

On Charge Conjugation, Correlations, Elitzur's Theorem and the Mass Gap Problem in Lattice SU(N) Yang-Mills Models in d=4 Dimensions

On Yang-Mills Stability Bounds and Plaquette Field Generating Function

Asymptotics for Some Logistic Maps and the Renormalization Group

On Charge Conjugation, Correlations, Elitzur's Theorem and the Mass Gap Problem in Lattice $S U (N)$ Yang-Mills Models in $d = 4$ Dimensions