arxivcs.LG2026-07-16
Relevant and Irrelevant: A Renormalization Group Analysis of Transformer Attention
Using the language of Wilsonian renormalization group theory (RG), we treat the Transformer's attention mechanism as a perturbation of the trained MLP residual-stack fixed point and ask whether it constitutes a relevant, marginal, or irrelevant operator. We derive a fixed-point s…