Fetching the paper…

Reading the bibliography…

2016

Instantons from Perturbation Theory

Serone, Marco, Spada, Gabriele, Villadoro, Giovanni

Original
PDF
Post on X

Understand

In quantum mechanics and quantum field theory perturbation theory generically requires the inclusion of extra contributions non-perturbative in the coupling, such as instantons, to reproduce exact results.

We show how full non-perturbative results can be encoded in a suitable modified perturbative series in a class of quantum mechanical problems.
We illustrate this explicitly in examples which are known to contain non-perturbative effects, such as the (supersymmetric) double-well potential, the pure anharmonic oscillator, and the perturbative expansion around a false vacuum.

Instantons from Perturbation Theory · Around

Built on

B. Simon and A. Dicke, Annals Phys. 58
1970
Earlier work this paper cites.
S. Graffi, V. Grecchi and B. Simon, Phys. Lett. B 32
1970
Earlier work this paper cites.
C. M. Bender and T. T. Wu, Phys. Rev. D 7
1973
Earlier work this paper cites.
J.P. Eckmann, J. Magnen and R. Sénéor, Commun.Math. Phys. 39, 251 (1975)
1975
Earlier work this paper cites.
J. Magnen and R. Sénéor, Commun. Math. Phys. 56
1977
Earlier work this paper cites.
R. Balian, G. Parisi and A. Voros, Phys. Rev. Lett. 41 (1978) 1141
1978
Earlier work this paper cites.

Similar

After the completion of this work we became aware of the paper: W. E. Caswell, Annals Phys. 123
1979
Cited alongside, same era.
E. Witten, Nucl. Phys. B 188
1981
Cited alongside, same era.
J. Ecalle. 1981. Les Fonctions Resurgentes, vol. I - III Publ. Math. Orsay
1981
Cited alongside, same era.
J. Zinn-Justin, J. Math. Phys. 25
1984
Cited alongside, same era.
I. I. Balitsky and A. V. Yung, Nucl. Phys. B 274
1986
Cited alongside, same era.
U. D. Jentschura and J. Zinn-Justin, J. Phys. A 34
2001
Cited alongside, same era.
For the numerical results of this work we made use of the useful code by T. Sulejmanpasic and M. Ünsal, arXiv:1608.08256 [hep-th]
Original
Cited in the paper.
P. Vieira, Mathematica Summer School on Theoretical Physics - http://msstp.org
Cited in the paper.

Then

U. D. Jentschura and J. Zinn-Justin, Phys. Lett. B 596
2004
Later among the works it cites.
E. Witten, AMS/IP Stud. Adv. Math. 50
2011
Later among the works it cites.
A. Grassi, M. Marino and S. Zakany, JHEP 1505
2015
Later among the works it cites.
A. Behtash, G. V. Dunne, T. Schäfer, T. Sulejmanpasic and M. Ünsal, Phys. Rev. Lett. 116
2016
Closest in time.
M. Serone, G. Spada and G. Villadoro, JHEP 1705
2017
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…