Near-Conformal Dynamics at Large Charge

Abstract

We investigate four-dimensional near-conformal dynamics by means of the large-charge limit. We first introduce and justify the formalism in which near-conformal invariance is insured by adding a dilaton and then determine the large-charge spectrum of the theory. The dilaton can also be viewed as the radial mode of the EFT. We calculate the two-point functions of charged operators. We discover that the mass of the dilaton, parametrising the near-breaking of conformal invariance, induces a novel term that is logarithmic in the charge. One can therefore employ the large-charge limit to explore near-conformal dynamics and determine dilaton-related properties.

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Cited by in corpus (19)

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• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
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• Charging the $O(N)$ model
• Charging the Walking U(N)$\times$U(N) Higgs Theory as a Complex CFT
• More on the Weak Gravity Conjecture via Convexity of Charged Operators
• Charging the Conformal Window
• Untangling scaling dimensions of fixed charge operators in Higgs Theories
• More on the cubic versus quartic interaction equivalence in the $O(N)$ model
• Yukawa interactions at Large Charge
• Nonrelativistic CFTs at Large Charge: Casimir Energy and Logarithmic Enhancements
• Near-Schrödinger dynamics at large charge
• Sub-leading conformal dimensions at the O(4) Wilson-Fisher fixed point
• Operator spectrum of nonrelativistic CFTs at large charge
• The analytic structure of the fixed charge expansion
• Charging the conformal window at nonzero $\theta$ angle
• Gapped dilatons in scale invariant superfluids
• Exact evaluation of large-charge correlation functions in non-relativistic conformal field theory
• Higher-form anomalies and state-operator correspondence beyond conformal invariance