Cheshire cat resurgence, self-resurgence and quasi-exact solvable systems

DOI10.1007/s00220-018-3281-yzbMath1402.81138arXiv1609.06198OpenAlexW2523040454MaRDI QIDQ1620827

Tin Sulejmanpasic, Can Kozçaz, Mithat Ünsal, Yuya Tanizaki

Publication date: 14 November 2018

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.06198

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbation theories for operators and differential equations in quantum theory (81Q15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Abel, Borel and power series methods (40G10) Special quantum systems, such as solvable systems (81Q80)

Related Items (24)

Resurgence and \( 1/N \) expansion in integrable field theories ⋮ Classical and quantum duality of quasi-exactly solvable problems ⋮ Fluctuations of the product of random matrices and generalized Lyapunov exponent ⋮ On exact-WKB analysis, resurgent structure, and quantization conditions ⋮ Critical points at infinity, non-Gaussian saddles, and bions ⋮ Resurgence analysis of the Adler function at \(\mathcal{O}(1/N_f^2)\) ⋮ Harnessing S-duality in \(\mathcal{N} = 4\) SYM \& supergravity as \(\mathrm{SL}(2, \mathbb{Z})\)-averaged strings ⋮ Borel resummation of secular divergences in stochastic inflation ⋮ Generating functions and large-charge expansion of integrated correlators in \(\mathcal{N} = 4\) supersymmetric Yang-Mills theory ⋮ Asymptotics in an asymptotic CFT ⋮ Two string theory flavours of generalised Eisenstein series ⋮ To the cusp and back: resurgent analysis for modular graph functions ⋮ High order perturbation theory for difference equations and Borel summability of quantum mirror curves ⋮ Gradient flows without blow-up for Lefschetz thimbles ⋮ Two-point functions at arbitrary genus and its resurgence structure in a matrix model for 2D type IIA superstrings ⋮ Phase structure of the twisted \(\mathrm{SU}(3)/\mathrm{U}(1)^2\) flag sigma model on \(\mathbb{R} \times S^1\) ⋮ Resurgence in the bi-Yang-Baxter model ⋮ Instantons in the Hofstadter butterfly: difference equation, resurgence and quantum mirror curves ⋮ On the late-time behavior of Virasoro blocks and a classification of semiclassical saddles ⋮ Quantum geometry of resurgent perturbative/nonperturbative relations ⋮ Vacuum structure of bifundamental gauge theories at finite topological angles ⋮ Picard-Lefschetz decomposition and Cheshire Cat resurgence in 3D \(\mathcal{N} = 2\) field theories ⋮ Resurgence of one-point functions in a matrix model for 2D type IIA superstrings ⋮ Resurgence and semiclassical expansion in two-dimensional large-\(N\) sigma models

Uses Software

• DLMF
• BenderWu

Cites Work

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