Generating Non-perturbative Physics from Perturbation Theory

S. C. Miller and R. H. Good, “A WKB-Type Approximation to the Schrödinger Equation”, Phys. Rev. 91

1953

Earlier work this paper cites.

R. Dingle and H. Müller-Kirsten, “Asymptotic expansion of Mathieu functions and their characteristic numbers”, J. Reine Ang. Mat. 211

1962

Earlier work this paper cites.

C. M. Bender and T. T. Wu, “Anharmonic oscillator,” Phys. Rev. 184

1973

Earlier work this paper cites.

L. N. Lipatov, “Divergence of the Perturbation Theory Series and the Quasiclassical Theory,” Sov. Phys. JETP 45

1977

Earlier work this paper cites.

E. Brézin, G. Parisi and J. Zinn-Justin, “Perturbation Theory at Large Orders for Potential with Degenerate Minima,” Phys. Rev. D 16

1977

Earlier work this paper cites.

M. Stone and J. Reeve, “Late Terms in the Asymptotic Expansion for the Energy Levels of a Periodic Potential,” Phys. Rev. D 18

1978

Earlier work this paper cites.

E. B. Bogomolny, “Calculation Of Instanton - Anti-instanton Contributions In Quantum Mechanics,” Phys. Lett. B91

1980

Earlier work this paper cites.

J. Zinn-Justin, “Expansion Around Instantons In Quantum Mechanics,” J. Math. Phys. 22

1981

Cited alongside, same era.

J. Zinn-Justin, “Multi-Instanton Contributions In Quantum Mechanics,” Nucl. Phys. B 192

1984

Cited alongside, same era.

M. V. Berry and C. J. Howls, “Hyperasymptotics for integrals with saddles,” Proc. Roy. Soc. Lond. A 434

1991

Cited alongside, same era.

C. F. Wöhler and E. V. Shuryak, “Two loop correction to the instanton density for the double well potential,” Phys. Lett. B 333

1994

Cited alongside, same era.

J. Zinn-Justin, Quantum field theory and critical phenomena

2002

Cited alongside, same era.

J. Zinn-Justin and U. D. Jentschura, “Multi-instantons and exact results I: Conjectures, WKB expansions, and instanton interactions,” Annals Phys. 313

M. Ünsal and L. G. Yaffe, “Center-stabilized Yang-Mills theory: Confinement and large N volume independence,” Phys. Rev. D 78

Original

2008

Later among the works it cites.

S. Pasquetti and R. Schiappa, “Borel and Stokes Nonperturbative Phenomena in Topological String Theory and c=1 Matrix Models,” Annales Henri Poincaré 11

Original

2010

Later among the works it cites.

M. Mariño, R. Schiappa and M. Weiss, “Nonperturbative Effects and the Large-Order Behavior of Matrix Models and Topological Strings,” Commun. Num. Theor. Phys. 2

Original

2011

Later among the works it cites.

P. C. Argyres and M. Ünsal, “A semiclassical realization of infrared renormalons,” Phys. Rev. Lett. 109

Original

2012

Later among the works it cites.

G. V. Dunne and M. Ünsal, “Resurgence and Trans-series in Quantum Field Theory: The CP(N-1) Model,” JHEP 1211