Walking Dynamics Guaranteed

TL;DR

This paper provides evidence for a continuous transition in a four-dimensional gauge-fermion model, indicating potential for walking dynamics, which is significant for understanding strongly coupled gauge theories.

Contribution

It demonstrates a continuous transition from conformal to chirally broken phase in a specific gauge-fermion model with four-fermion interactions, highlighting the conditions for walking behavior.

Findings

Transition is continuous, not abrupt.

Infrared conformality is lost at strong coupling.

Supports the existence of walking dynamics in the model.

Abstract

We report evidence for a continuous transition from an infrared conformal phase to a chirally broken one in four dimensions. We study a model with two Dirac fermions in the adjoint representation of an SU(2) gauge interaction and a chirally symmetric four-fermion interaction. At large four-fermion coupling, the model goes through a transition into a chirally broken phase and infrared conformality is lost. We show strong evidence that this transition is continuous, which would guarantee walking dynamics within the scaling region in the chirally broken phase.