Resurgence provides a unique analytic continuation across natural boundaries for Chern-Simons q-series that matches 3-manifold orientation reversal via Mordell integral decompositions.
Uniformization and Constructive Analytic Continuation of Taylor Series
8 Pith papers cite this work. Polarity classification is still indexing.
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Extracts the continuum location of the nearest complex-T singularity from lattice QCD at μ=0 via iterated conformal-Padé and shows its trajectories share the same scaling variables as complex-μ singularities.
Scalar-channel quasinormal modes of the planar AdS5 black brane are captured across all wave numbers by exact WKB quantisation, transseries resummation, and Seiberg–Witten analytic continuation, with resummed large-q predictions matching independent numerics to ten to thirty decimal places.
Inhomogeneous background fields convert Borel poles in the effective action to branch points and introduce new ones, allowing resurgent extrapolation to recover non-perturbative information from perturbative input more accurately than WKB or locally constant approximations.
Establishes explicit resurgent duality between zero-radius weak-coupling and infinite-radius strong-coupling expansions, illustrated on Airy/Pearcey integrals and applied to phi^4 Dyson-Schwinger equations and Gross-Neveu kink-antikink heat kernel.
Resurgent cyclic orbits' algebraic structure plus the leading q-series term determines the asymptotic growth exponent of dual q-series coefficients, which equals an effective central charge c_eff in a related 3d N=2 QFT.
Padé approximants enable downward continuation of gravitational potentials past the Brillouin sphere and help locate complex singularities.
Introductory lectures cover resurgent asymptotics using examples like the Airy function, nonlinear Stokes phenomenon, Heisenberg-Euler action, and resurgent continuation.
citing papers explorer
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Orientation Reversal and the Chern-Simons Natural Boundary
Resurgence provides a unique analytic continuation across natural boundaries for Chern-Simons q-series that matches 3-manifold orientation reversal via Mordell integral decompositions.
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Analytic structure of the QCD phase diagram in the complex-temperature plane
Extracts the continuum location of the nearest complex-T singularity from lattice QCD at μ=0 via iterated conformal-Padé and shows its trajectories share the same scaling variables as complex-μ singularities.
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Analytic approaches to perturbations of strongly coupled Yang-Mills plasma
Scalar-channel quasinormal modes of the planar AdS5 black brane are captured across all wave numbers by exact WKB quantisation, transseries resummation, and Seiberg–Witten analytic continuation, with resummed large-q predictions matching independent numerics to ten to thirty decimal places.
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Resurgence of the Effective Action in Inhomogeneous Fields
Inhomogeneous background fields convert Borel poles in the effective action to branch points and introduce new ones, allowing resurgent extrapolation to recover non-perturbative information from perturbative input more accurately than WKB or locally constant approximations.
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Weak-Strong Resurgence Duality
Establishes explicit resurgent duality between zero-radius weak-coupling and infinite-radius strong-coupling expansions, illustrated on Airy/Pearcey integrals and applied to phi^4 Dyson-Schwinger equations and Gross-Neveu kink-antikink heat kernel.
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$c_{\rm eff}$ from Resurgence at the Stokes Line
Resurgent cyclic orbits' algebraic structure plus the leading q-series term determines the asymptotic growth exponent of dual q-series coefficients, which equals an effective central charge c_eff in a related 3d N=2 QFT.
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Pade Approximants for Geodesy
Padé approximants enable downward continuation of gravitational potentials past the Brillouin sphere and help locate complex singularities.
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Introductory Lectures on Resurgence: CERN Summer School 2024
Introductory lectures cover resurgent asymptotics using examples like the Airy function, nonlinear Stokes phenomenon, Heisenberg-Euler action, and resurgent continuation.