Conformal House

TL;DR

This paper explores the phase structure of nonsupersymmetric SU(N) gauge theories with two types of fermions, identifying conditions for infrared fixed points and analyzing their properties, including anomalous dimensions and effects of mass terms.

Contribution

It extends the conformal window analysis to theories with multiple fermion representations, defining a new 'conformal house' and providing nonperturbative predictions for anomalous dimensions.

Findings

Boundaries of the conformal house for multiple fermion representations.

Recovery of known conformal windows as special cases.

Predictions of nonperturbative anomalous dimensions at IR fixed points.

Abstract

We investigate the gauge dynamics of nonsupersymmetric SU(N) gauge theories featuring the simultaneous presence of fermionic matter transforming according to two distinct representations of the underlying gauge group. We bound the regions of flavors and colors which can yield a physical infrared fixed point. As a consistency check we recover the previously investigated conformal windows bounds when restricting to a single matter representation. The earlier conformal windows can be imagined to be part now of the new conformal house. We predict the nonperturbative anomalous dimensions at the infrared fixed points. We further investigate the effects of adding mass terms to the condensates on the conformal house chiral dynamics and construct the simplest instanton induced effective Lagrangian terms.