Charging the Conformal Window

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.

15 pages

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Cited by in corpus (13)

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• More on the cubic versus quartic interaction equivalence in the $O(N)$ model
• Nonrelativistic CFTs at Large Charge: Casimir Energy and Logarithmic Enhancements
• Near-Schrödinger dynamics at large charge
• Operator spectrum of nonrelativistic CFTs at large charge
• Droplet-Edge Operators in Nonrelativistic Conformal Field Theories
• On the exponentially small corrections to $\mathcal{N}=2$ superconformal correlators at large R-charge
• The $\theta$-angle and axion physics of two-color QCD at fixed baryon charge. Part I
• Charging the conformal window at nonzero $\theta$ angle
• Ultraviolet Finiteness or Asymptotic Safety in Higher Derivative Gravitational Theories