# The Standard Model from a New Phase Transition on the Lattice

## TL;DR

This paper explores a novel phase transition on the lattice that enables a gauge-fixing approach to formulating chiral gauge theories, potentially leading to a new realization of the Standard Model.

## Contribution

It introduces a new phase transition mechanism on the lattice that separates conventional Higgs phases from phases with broken rotational invariance, facilitating chiral gauge theory formulation.

## Key findings

- Identification of a phase transition separating Higgs and broken rotational phases
- Continuum limit corresponds to a Gaussian fixed point controlling gauge modes
- Potential for reproducing chiral gauge theories in the continuum limit

## Abstract

Several years ago it was conjectured in the so-called Roma Approach, that gauge fixing is an essential ingredient in the lattice formulation of chiral gauge theories. In this paper we discuss in detail how the gauge-fixing approach may be realized. As in the usual (gauge invariant) lattice formulation, the continuum limit corresponds to a gaussian fixed point, that now controls both the transversal and the longitudinal modes of the gauge field. A key role is played by a new phase transition separating a conventional Higgs or Higgs-confinement phase, from a phase with broken rotational invariance. In the continuum limit we expect to find a scaling region, where the lattice correlators reproduce the euclidean correlation functions of the target (chiral) gauge theory, in the corresponding continuum gauge.