Abstract
We investigate the properties of near-conformal dynamics in a sector of large charge when approaching the lower boundary of the conformal window from the chirally broken phase. To elucidate our approach we use the time-honored example of the phenomenologically relevant SU(2) color theory featuring $N_f$ Dirac fermions transforming in the fundamental representation of the gauge group. In the chirally broken phase we employ the effective pion Lagrangian featuring also a pseudo-dilaton to capture a possible smooth conformal-to-non-conformal phase transition. We charge the baryon symmetry of the Lagrangian and study its impact on the ground state and spectrum of the theory as well as the would-be conformal dimensions of the lowest large-charge operator. We moreover study the effects of and dependence on the fermion mass term.
Highlights
The discovery of the Higgs heralds a new era in our understanding of fundamental interactions
We investigate the properties of near-conformal dynamics in a sector of large charge when approaching the lower boundary of the conformal window from the chirally broken phase
To elucidate our approach we use the time-honored example of the phenomenologically relevant SUð2Þ color theory featuring Nf Dirac fermions transforming in the fundamental representation of the gauge group
Summary
The discovery of the Higgs heralds a new era in our understanding of fundamental interactions. In our case, working in a near-conformal regime, this gives us the corrections to the putative anomalous dimension as functions of the dilaton and fermion mass These constitute our main results and can be generalized to any other global symmetry of the theory as well as to other gauge groups such as SUð3Þ. These results offer a new way to explore near-conformal dynamics and its features related, for example, to the nonperturbative dilaton properties as functions of the fermion mass operator and anomalous dimension.
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