Author

A. Codello

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Preprint Sep 2026

Functional Dimensional Regularization

We introduce and develop Functional Dimensional Regularization (FDR), a novel functional renormalization group (RG) framework that extends the principles of dimensional regularization beyond the perturbative $\varepsilon$-expansion. The key insight is to define the FDR beta functions, valid in any continuous dimension...

P. Beretta, A. Codello · 0 citations

Preprint Aug 2026

Microscopic dynamics of consensus formation in multi-agent LLM Naming Games

A mean-field theory of the two-rate dynamics yields an analytical ordering condition that generalizes the consensus threshold of the stochastic Naming Game to a critical line in the $(pi,\phi)$ plane, and emerges as an architecture-dependent control parameter for decentralized LLM populations, quantitatively characteri...

Cristiano De Nobili, Vijayasri Iyer, A. Codello et al. · 2 citations