Fetching the paper…
Reading the bibliography…
We compute multi-instanton amplitudes in the sine-Gordon quantum mechanics (periodic cosine potential) by integrating out quasi-moduli parameters corresponding to separations of instantons and anti-instantons.
R. E. Langer, “The Asymptotic Solutions of Certain Linear Ordinary Differential Equations of the Second Order”, Trans. Am. Math. Soc. 36
1934
Earlier work this paper cites.
T. M. Cherry, “Expansions in terms of Parabolic Cylinder Functions”, Proc. Edinburgh Math. Soc. 8
1948
Earlier work this paper cites.
S. C. Miller and R. H. Good, “A WKB-Type Approximation to the Schrödinger Equation”, Phys. Rev. 91
1953
Earlier work this paper cites.
1954
Earlier work this paper cites.
G. ’t Hooft, “Can We Make Sense Out of Quantum Chromodynamics?,” Subnucl. Ser. 15
1979
Earlier work this paper cites.
E. B. Bogomolny, “Calculation Of Instanton - Anti-instanton Contributions In Quantum Mechanics,” Phys. Lett. B 91
1980
Earlier work this paper cites.
J. Ecalle, “Les Fonctions Resurgentes”, Vol. I - III (Publ. Math. Orsay, 1981)
1981
Earlier work this paper cites.
J. Zinn-Justin, “Multi - Instanton Contributions in Quantum Mechanics,” Nucl. Phys. B 192
1981
Earlier work this paper cites.
J. Zinn-Justin, “Multi - Instanton Contributions in Quantum Mechanics. 2.,” Nucl. Phys. B 218
1983
Earlier work this paper cites.
J. Zinn-Justin, “Instantons in Quantum Mechanics: Numerical Evidence for a Conjecture,” J. Math. Phys. 25
1984
Earlier work this paper cites.
J. Zinn-Justin, “Quantum field theory and critical phenomena,” Int. Ser. Monogr. Phys. 77
1989
Earlier work this paper cites.
A. Galindo and P. Pascual, Quantum Mechanics
1991
Earlier work this paper cites.
V. A. Fateev, V. A. Kazakov and P. B. Wiegmann, “Principal chiral field at large N,” Nucl. Phys. B 424
1994
Earlier work this paper cites.
V. A. Fateev, P. B. Wiegmann and V. A. Kazakov, “Large N chiral field in two-dimensions,” Phys. Rev. Lett. 73
1994
Earlier work this paper cites.
E. R. C. Abraham and P. K. Townsend, “Q kinks,” Phys. Lett. B 291
2003
Earlier work this paper cites.
J. Zinn-Justin and U. D. Jentschura, “Multi-instantons and exact results I: Conjectures, WKB expansions, and instanton interactions,” Annals Phys. 313
2004
Earlier work this paper cites.
J. Zinn-Justin and U. D. Jentschura, “Multi-instantons and exact results II: Specific cases, higher-order effects, and numerical calculations,” Annals Phys. 313
2004
Earlier work this paper cites.
N. S. Manton and P. Sutcliffe, “Topological solitons,” Cambridge, UK: Univ. Pr. (2004) 493 p
2004
Earlier work this paper cites.
G. Álvarez, “Langer-Cherry derivation of the multi-instanton expansion for the symmetric double well”, J. Math. Phys. 45
2004
Earlier work this paper cites.
M. Eto, Y. Isozumi, M. Nitta, K. Ohashi and N. Sakai, “Instantons in the Higgs phase,” Phys. Rev. D 72
2005
Earlier work this paper cites.
J. P. Gauntlett, D. Tong and P. K. Townsend, “Multidomain walls in massive supersymmetric sigma models,” Phys. Rev. D 64
2005
Earlier work this paper cites.
M. Eto, Y. Isozumi, M. Nitta, K. Ohashi and N. Sakai, “Solitons in the Higgs phase: The Moduli matrix approach,” J. Phys. A 39
2006
Earlier work this paper cites.
2008
Cited alongside, same era.
2008
Cited alongside, same era.
2008
Cited alongside, same era.
M. Eto, T. Fujimori, Y. Isozumi, M. Nitta, K. Ohashi, K. Ohta and N. Sakai, “Non-Abelian vortices on cylinder: Duality between vortices and walls,” Phys. Rev. D 73
2008
Cited alongside, same era.
Y. Hatsuda, S. Moriyama and K. Okuyama, “Instanton Bound States in ABJM Theory,” JHEP 1305
2013
Later among the works it cites.
M. Nitta, “Josephson vortices and the Atiyah-Manton construction,” Phys. Rev. D 86
2013
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2009
Cited alongside, same era.
2009
Cited alongside, same era.
M. Marino, R. Schiappa and M. Weiss, “Multi-Instantons and Multi-Cuts,” J. Math. Phys. 50
2009
Cited alongside, same era.
F. Bruckmann, “Instanton constituents in the O(3) model at finite temperature,” Phys. Rev. Lett. 100
2009
Cited alongside, same era.
2010
Cited alongside, same era.
U. D. Jentschura, A. Surzhykov and J. Zinn-Justin, “Multi-instantons and exact results. III: Unification of even and odd anharmonic oscillators,” Annals Phys. 325
2010
Cited alongside, same era.
M. M. Anber and E. Poppitz, “Microscopic Structure of Magnetic Bions,” JHEP 1106
2011
Cited alongside, same era.
2011
Cited alongside, same era.
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
M. Honda and S. Moriyama, “Instanton Effects in Orbifold ABJM Theory,” JHEP 1408
2014
Later among the works it cites.
M. Honda, “On Perturbation theory improved by Strong coupling expansion,” JHEP 1412
2014
Later among the works it cites.
2015
Closest in time.
2015
Closest in time.
2015
Closest in time.
2015
Closest in time.
A. Grassi, M. Marino and S. Zakany, “Resumming the string perturbation series,” JHEP 1505
2015
Closest in time.
2015
Closest in time.
2015
Closest in time.