# On RG flows in Generalized Effective Field Theory

## TL;DR

This paper introduces Generalized Effective Field Theory (GEFT), an extension allowing independent scale dependence of Wilson coefficients, useful in certain regimes, especially near symmetry-breaking points, with implications for understanding phase diagrams.

## Contribution

It formulates GEFT with independent scale-dependent Wilson coefficients, extending traditional EFTs to include all symmetry-respecting operators of any dimension.

## Key findings

- GEFT can be constructed with all symmetry-respecting operators
- The massless limit links spontaneous symmetry breaking and scale invariance
- Potential applications in analyzing phase transitions and non-perturbative regimes

## Abstract

Generalized Effective Field Theory (GEFT) is the non-renormalizable extension of an Effective Field Theory where the Wilson coefficients are endowed by their own, independent scale dependence. Such an effective theory can be constructed by quantizing a Lagrangian in the presence of all internal symmetry respecting operators of any mass dimension. The resulting theory may be practically useful in regimes of its phase diagram where the perturbative expansion and a truncation of the infinite tower of Higher Dimensional Operators (HDO) are valid. The massless limit of GEFT is especially interesting as the spontaneous breaking of internal symmetry and of scale invariance are correlated.