Jumping Dynamics

TL;DR

This paper introduces a new paradigm for phase transitions in gauge theories, proposing that the physical scale and spectrum can abruptly jump at the conformal window boundary, challenging the traditional walking dynamics view.

Contribution

It presents the jumping dynamics paradigm as an alternative to Miransky scaling for phase transitions in gauge theories, with implications for electroweak symmetry breaking models.

Findings

Proposes a sudden jump in the spectrum at the conformal window boundary.

Challenges the notion of near-conformal walking dynamics.

Discusses implications for dynamical electroweak symmetry breaking.

Abstract

We propose an alternative paradigm to the conjectured Miransky scaling potentially underlying the physics describing the transition from the conformally broken to the conformally restored phase when tuning certain parameters such as the number of flavors in gauge theories. According to the new paradigm the physical scale and henceforth also the massive spectrum of the theory jump at the lower boundary of the conformal window. In particular we propose that a theory can suddenly jump from a Quantum Chromodynamics type spectrum, at the lower boundary of the conformal window, to a conformal one without particle interpretation. The jumping scenario, therefore, does not support a near-conformal dynamics of walking type. We will also discuss the impact of jumping dynamics on the construction of models of dynamical electroweak symmetry breaking.