Feynman integrals are completely monotonic (and often Stieltjes) functions, enabling a CM bootstrap for bounds from differential equations and Padé approximants with provable convergence.
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Computes closed-form one-loop anomalous dimensions for all double-trace operators [φφ]_{n,ℓ} in Φ⁴ theory in AdS₃ for arbitrary n, ℓ and Δ_φ > 1.
Several observables in planar N=4 SYM, including the octagon anomalous dimension and Bremsstrahlung function, admit a once-subtracted dispersion representation over a positive measure in the coupling.
citing papers explorer
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Approximating Feynman integrals using complete monotonicity and Stieltjes properties
Feynman integrals are completely monotonic (and often Stieltjes) functions, enabling a CM bootstrap for bounds from differential equations and Padé approximants with provable convergence.
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Closing the loop on $\Phi^4$ in AdS$_3$
Computes closed-form one-loop anomalous dimensions for all double-trace operators [φφ]_{n,ℓ} in Φ⁴ theory in AdS₃ for arbitrary n, ℓ and Δ_φ > 1.
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Positivity properties of observables in planar maximally supersymmetric Yang-Mills theory
Several observables in planar N=4 SYM, including the octagon anomalous dimension and Bremsstrahlung function, admit a once-subtracted dispersion representation over a positive measure in the coupling.