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• W3022277783 endingPage "115096" @default.
• W3022277783 startingPage "115096" @default.
• W3022277783 abstract "For certain quantum field theories, the Kreimer-Connes Hopf-algebraic approach to renormalization reduces the Dyson-Schwinger equations to a system of non-linear ordinary differential equations for the expansion coefficients of the renormalized Green's function. We apply resurgent asymptotic analysis to find the trans-series solutions which provide the non-perturbative completion of these formal Dyson-Schwinger expansions. We illustrate the general approach with the concrete example of four dimensional massless Yukawa theory, connecting with the exact functional solution found by Broadhurst and Kreimer. The trans-series solution is associated with the iterative form of the Dyson-Schwinger equations, and displays renormalon-like structure of integer-repeated Borel singularities. Extraction of the Stokes constant is possible due to a property we call ‘functional resurgence’." @default.
• W3022277783 created "2020-05-13" @default.
• W3022277783 creator A5052027086 @default.
• W3022277783 creator A5062556177 @default.
• W3022277783 date "2020-08-01" @default.
• W3022277783 modified "2023-10-17" @default.
• W3022277783 title "Non-perturbative completion of Hopf-algebraic Dyson-Schwinger equations" @default.
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• W3022277783 doi "https://doi.org/10.1016/j.nuclphysb.2020.115096" @default.
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