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Renormalization-Group & Gauge-Sector Foundations

Version 12.1 Published: 2025-04-04
FRG Gauge

Abstract

Computes one-loop functional-RG flow for gravity + scalaron and shows how an SU(2) gauge field emerges from twistor-scalar dynamics.

Key Results

  • Derives coupled β-functions for {G, Λ, α, λ} and finds a UV non-Gaussian fixed point with two relevant directions
  • Demonstrates SU(2) gauge symmetry arises naturally from a triplet scalar in the twistor formalism
  • Confirms matter couplings are irrelevant at the fixed point, tightening RFT predictivity

Citation

@article{Fitzpatrick2025RFT12_1, author = {Fitzpatrick, I.}, title = {Renormalization-Group & Gauge-Sector Foundations}, journal = {RFT Cosmology Preprint}, year = {2025}, note = {Version 12.1} }