Valley views: Instantons, large order behaviors, and supersymmetry

Nuclear Physics B

Volumn 553, Issue 3, 1999, Pages 644-710

  Aoyama, Hideaki ^a   Kikuchi, Hisashi ^b   Okouchi, Ikuo ^a   Sato, Masatoshi ^c   Wada, Shinya ^a  

^a KYOTO UNIVERSITY   (Japan)

^b OHU UNIVERSITY   (Japan)

^c UNIVERSITY OF TOKYO   (Japan)

Author keywords

Borel transformation; Instanton; Perturbation theory; Stokes phenomena; Supersymmetry; Valley method

Indexed keywords

EID: 0033516805     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(99)00263-1     Document Type: Article

References (41)

1. C. Callan, R. Dashen and D. Gross, Phys. Rev. D 17 (1978) 2717.
2. E. Brézin, J.C. Le Guillou and J. Zinn-Justin, Phys. Rev. D 15 (1977) 1558.
3. E. Brézin, G. Parisi and J. Zinn-Justin, Phys. Rev. D 16 (1977) 408.
4. For a review, see Large-Order Behaviour of Perturbation Theory Ed. J.C. Le Guillou and J. Zinn-Justin (North-Holland, Amsterdam, 1990) and the references cited therein.
5. E.B. Bogomolny, Phys. Lett. B 91 (1980) 431.
6. I.I. Balitsky and A.V. Yung, Phys. Lett. B 168 (1986) 13.
7. H. Aoyama and H. Kikuchi, Nucl. Phys. B 369 (1992) 219.
8. T. Harano and M. Sato, hep-ph/9703457.
9. H. Aoyama, H. Kikuchi, T. Harano, M. Sato and S. Wada, Phys. Rev. Lett. 79 (1997) 4052.
10. H. Aoyama, H. Kikuchi, T. Harano, I. Okouchi, M. Sato, S. Wada, Prog. Theor. Phys. Supplement 127 (1997) 1.
11. H. Aoyama, H. Kikuchi, I. Okouchi, M. Sato and S. Wada, Phys. Lett. B 424 (1998) 93.
12. S. Coleman, in The Whys of Subnuclear Physics (Plenum, New York, 1979).
13. A. Hosoya and K. Kikkawa, Nucl. Phys. B 101 (1975) 271.
14. J. Zinn-Justin, Nucl. Phys. B 192 (1981) 125; Nucl. Phys. B 218 (1983) 333.
15. J. Zinn-Justin, Nucl. Phys. B 192 (1981) 125; Nucl. Phys. B 218 (1983) 333.
16. G. 't Hooft, in The Whys of Subnuclear Physics (Plenum, New York, 1979).
17. H. Kikuchi, Phys. Rev. D 45 (1991) 1240.
18. S.V. Faleev and P.G. Silvestrov, Phys. Lett. A 197 (1995) 372.
19. J.I. Verbaarschot, P. West and Tai Tsun Wu, Phys. Rev. D 42 (1990) 1276.
20. J.I. Verbaarschot and P. West, Phys. Rev. D 43 (1991) 2718.
21. J. Zinn-Justin, J. Math. Phys. 25 (1984) 549.
22. E. Witten, Nucl. Phys. B 185 (1981) 513.
23. A.V. Turbiner, Commun. Math. Phys. 118 (1988) 513.
24. I.I. Balitsky and A.V. Yung, Nucl. Phys. B 274 (1986) 475.
25. V.A. Novikov, M.A. Shiftman, A.I. Vainshtein and V.I. Zakharov, Nucl. Phys. B 229 (1983) 381.
26. G. Parisi, Phys. Lett. 68B (1977) 361.
27. G. 't Hooft, Phys. Rev. Lett. 37 (1976) 8; Phys. Rev. D 14 (1976) 3422; D 18 (1978) 2199 (E).
28. G. 't Hooft, Phys. Rev. Lett. 37 (1976) 8; Phys. Rev. D 14 (1976) 3422; D 18 (1978) 2199 (E).
29. G. 't Hooft, Phys. Rev. Lett. 37 (1976) 8; Phys. Rev. D 14 (1976) 3422; D 18 (1978) 2199 (E).
30. For a review, see V.A. Rubakov and M.E. Shaposhnikov, hep-ph/9603208.
31. H. Aoyama and H. Goldberg, Phys. Lett. B 188 (1987) 506.
32. A. Ringwald, Nucl. Phys. B 330 (1990) 1.
33. C. Espinosa, Nucl. Phys. B 343 (1990) 310.
34. M. Porrati, Nucl. Phys. B 347 (1990) 371.
35. V.V. Khoze and A. Ringwald, Nucl. Phys. B 355 (1991) 351.
36. H. Aoyama, T. Harano, M. Sato and S. Wada, Mod. Phys. Lett. A 11 (1996) 43; Nucl. Phys. B 466(1996) 127.
37. H. Aoyama, T. Harano, M. Sato and S. Wada, Mod. Phys. Lett. A 11 (1996) 43; Nucl. Phys. B 466 (1996) 127.
38. M. Sato, talk at the Int. Symp. on Lepton- and Baryon-number Violation, Trento, Italy, April 1998.
39. S.H. Shenker, in Cargese 1990, Proc. Random Surfaces and Quantum Gravity (Plenum, New York, 1991).
40. J. Polchinski, Phys. Rev. Lett. 75 (1995) 4724.
41. I.S. Gradshteyn and I.M. Ryzhik, Tables of Integrals, Series, and Products, 5th Edition (Academic Press, New York).