Charging the conformal window at nonzero $\theta$ angle

Abstract

We determine the impact of the $\theta$-angle and axion physics on the near conformal dynamics of the large-charge baryon sector of $SU(2)$ gauge theories with $N_f$ fermions in the fundamental representation. We employ an effective approach featuring Goldstone and dilaton degrees of freedom augmented by the topological terms in the theory. We investigate how different dilaton potentials, including the ones for which a systematic counting scheme can be established, affect the results. Via state-operator correspondence we compute the corrections to the would-be conformal dimensions of the lowest large-charge operators as a function of the $\theta$ term and dilaton potential.

LaTeX 24 pages; v2: added new results related to different dilaton potentials, matches the published version

References in corpus (18)

• Light scalar at LHC: the Higgs or the dilaton?
• A Light Dilaton in Walking Gauge Theories
• On the Large $R$-charge Expansion in $\mathcal{N}=2$ Superconformal Field Theories
• Selected Topics in the Large Quantum Number Expansion
• Extending Chiral Perturbation Theory with an Isosinglet Scalar
• Conformal Window of Gauge Theories with Four-Fermion Interactions and Ideal Walking
• Charging the $O(N)$ model
• Effective pion mass term and the trace anomaly
• A Near-Conformal Composite Higgs Model
• The Role of the Dilaton in Dense Skyrmion Matter
• Application of dilaton chiral perturbation theory to $N_f=8$, $\mathrm{SU}(3)$ spectral data
• A note on the large charge expansion in 4d CFT
• Explorations beyond dilaton chiral perturbation theory in the eight-flavor SU(3) gauge theory
• Charging the Conformal Window
• Yukawa interactions at Large Charge
• The $\epsilon$-regime of dilaton chiral perturbation theory
• Spinning correlators in large-charge CFTs
• The $\theta$-angle and axion physics of two-color QCD at fixed baryon charge. Part I

Cited by in corpus (1)

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