Fetching the paper…
Reading the bibliography…
Picard--Lefschetz theory is applied to path integrals of quantum mechanics, in order to compute real-time dynamics directly.
R. P. Feynman, “Space-time approach to nonrelativistic quantum mechanics,” Rev.Mod.Phys
1948
Earlier work this paper cites.
University of California Press, Berkeley, Calif., 1951
M. Kac, “On Some Connections between Probability Theory and Differential and Integral Equations,” in Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability · 1951
Earlier work this paper cites.
G. C. Wick, “Properties of Bethe-Salpeter Wave Functions,” Phys. Rev
1954
Earlier work this paper cites.
R. H. Cameron, “A family of integrals serving to connect the Wiener and Feynman integrals,” Journal of Mathematics and Physics (MIT)
1960
Earlier work this paper cites.
E. Nelson, “Feynman Integrals and the Schrödinger Equation,” Journal of Mathematical Physics
1964
Earlier work this paper cites.
McGraw-Hill Companies, first ed., 6, 1965
R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals · 1965
Earlier work this paper cites.
I. Y. Kobzarev, L. B. Okun, and M. B. Voloshin, “Bubbles in metastable vacuum,” Sov. J. Nucl. Phys
1975
Earlier work this paper cites.
S. Coleman, “Fate of the false vacuum: Semiclassical theory,” Phys. Rev. D
1977
Earlier work this paper cites.
Academic press, 1979
B. Simon, Functional Integration and Quantum Physics · 1979
Earlier work this paper cites.
E. B. Bogomolny, “Calculation of instanton-anti-instanton contributions in quantum mechanics,” Physics Letters B
1980
Cited alongside, same era.
J. Zinn-Justin, “Multi-instanton contributions in quantum mechanics,” Nuclear Physics B
1981
Cited alongside, same era.
J. Zinn-Justin, “Multi-instanton contributions in quantum mechanics (II) ,” Nuclear Physics B
1983
Cited alongside, same era.
F. R. Klinkhamer and N. S. Manton, “A saddle-point solution in the weinberg-salam theory,” Phys. Rev. D
1984
Cited alongside, same era.
P. Arnold and L. McLerran, “Sphalerons, small fluctuations, and baryon-number violation in electroweak theory,” Phys. Rev. D
1987
Cited alongside, same era.
Cambridge University Press, reprint ed., 2, 1988
National Insitute of Standards and Technology, 2010
F. W. Olver, D. M. Lozier, R. F. Boisvert, and C. W. Clark, eds., Digital Library of Mathematical Functions: Online Companion to NIST Handbook of Mathematical Functions (CUP) · 2010
Later among the works it cites.
M. Unsal, “Theta dependence, sign problems and topological interference,” Phys.Rev
2012
Later among the works it cites.
2012
Later among the works it cites.
Cambridge University Press, 1 ed., 1, 2012
M. Shifman, Advanced Topics in Quantum Field Theory · 2012
Later among the works it cites.
2012
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
S. Coleman, Aspects of Symmetry: Selected Erice Lectures · 1988
Cited alongside, same era.
P. Arnold and L. McLerran, “The sphaleron strikes back: A response to objections to the sphaleron approximation,” Phys. Rev. D
1988
Cited alongside, same era.
Graduate Texts in Mathematics Vol.60. Springer, 2nd ed., 1989
V. Arnold, Mathematical Methods of Classical Mechanics · 1989
Cited alongside, same era.
E. Witten, “Analytic Continuation Of Chern-Simons Theory,” in Chern-Simons Gauge Theory: 20 Years After · 2010
Cited alongside, same era.
E. Witten, “A New Look At The Path Integral Of Quantum Mechanics,” arXiv:1009.6032 [hep-th]
Cited in the paper.
Cited in the paper.
Cited in the paper.
2013
Later among the works it cites.
2013
Later among the works it cites.
2013
Later among the works it cites.