Strong-coupling φ4-theory in 4 - ∈ dimensions, and critical exponents

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 434, Issue 1-2, 1998, Pages 74-79

  Kleinert, Hagen ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346224773     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-2693(98)00750-3     Document Type: Article

References (44)

1. H. Kleinert, Phys. Rev. D 57 (1998) 2264 (E-Print aps1997jun25_001); addendum (cond-mat/9803268).
2. R.P. Feynman, H. Kleinert, Phys. Rev. A 34 (1986) 5080 (www.physik.fu-berlin.de/~kleinert/kleiner_re2. html#159); A similar approach has been pursued independently by R. Giachetti, V. Tognetti, Phys. Rev. Lett. 55 (1985) 912; Int. J. Magn. Mater. 54-57, 861 (1986); R. Giachetti, V. Tognetti, R. Vaia, Phys. Rev. B 33 (1986) 7647.
3. R.P. Feynman, H. Kleinert, Phys. Rev. A 34 (1986) 5080 (www.physik.fu-berlin.de/~kleinert/kleiner_re2. html#159); A similar approach has been pursued independently by R. Giachetti, V. Tognetti, Phys. Rev. Lett. 55 (1985) 912; Int. J. Magn. Mater. 54-57, 861 (1986); R. Giachetti, V. Tognetti, R. Vaia, Phys. Rev. B 33 (1986) 7647.
4. R.P. Feynman, H. Kleinert, Phys. Rev. A 34 (1986) 5080 (www.physik.fu-berlin.de/~kleinert/kleiner_re2. html#159); A similar approach has been pursued independently by R. Giachetti, V. Tognetti, Phys. Rev. Lett. 55 (1985) 912; Int. J. Magn. Mater. 54-57, 861 (1986); R. Giachetti, V. Tognetti, R. Vaia, Phys. Rev. B 33 (1986) 7647.
5. R.P. Feynman, H. Kleinert, Phys. Rev. A 34 (1986) 5080 (www.physik.fu-berlin.de/~kleinert/kleiner_re2. html#159); A similar approach has been pursued independently by R. Giachetti, V. Tognetti, Phys. Rev. Lett. 55 (1985) 912; Int. J. Magn. Mater. 54-57, 861 (1986); R. Giachetti, V. Tognetti, R. Vaia, Phys. Rev. B 33 (1986) 7647.
6. H. Kleinert, Phys. Lett. A 173 (1993) 332 (www.physik. fu-berlin.de/~kleinert/kleiner_re3.html#213).
7. H. Kleinert, Path Integrals in Quantum Mechanics, Statistics and Polymer Physics, World Scientific, Singapore, 1995 (www.physik.fu-berlin.de/~kleinert/kleiner_re.html#b5).
8. For earlier similar expansions see by R. Seznec, J. Zinn-Justin, J. Math. Phys. 20 (1979) 1398; T. Barnes, G.I. Ghandour, Phys. Rev. D 22 (1980) 924; B.S. Shaverdyan, A.G. Usherveridze, Phys. Lett. B 123 (1983) 316; P.M. Stevenson, Phys. Rev. D 30 (1985) 1712; 32 (1985) 1389; P.M. Stevenson, R. Tarrach, Phys. Lett. B 176 (1986) 436; A. Okopinska, Phys. Rev. D 35 (1987) 1835; D 36 (1987) 2415; W. Namgung, P.M. Stevenson, J.F. Reed, Z. Phys. C 45 (1989) 47; U. Ritschel, Phys. Lett. B 227 (1989) 44; Z. Phys. C 51 (1991) 469; M.H. Thoma, Z. Phys. C 44 (1991) 343; I. Stancu, P.M. Stevenson, Phys. Rev. D 42 (1991) 2710; R. Tarrach, Phys. Lett. B 262 (1991) 294; H. Haugerud, F. Raunda, Phys. Rev. D 43 (1991) 2736; A.N. Sissakian, I.L. Solivtosv, O.Y. Sheychenko, Phys. Lett. B 313 (1993) 367; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560.
9. For earlier similar expansions see by R. Seznec, J. Zinn- Justin, J. Math. Phys. 20 (1979) 1398; T. Barnes, G.I. Ghandour, Phys. Rev. D 22 (1980) 924; B.S. Shaverdyan, A.G. Usherveridze, Phys. Lett. B 123 (1983) 316; P.M. Stevenson, Phys. Rev. D 30 (1985) 1712; 32 (1985) 1389; P.M. Stevenson, R. Tarrach, Phys. Lett. B 176 (1986) 436; A. Okopinska, Phys. Rev. D 35 (1987) 1835; D 36 (1987) 2415; W. Namgung, P.M. Stevenson, J.F. Reed, Z. Phys. C 45 (1989) 47; U. Ritschel, Phys. Lett. B 227 (1989) 44; Z. Phys. C 51 (1991) 469; M.H. Thoma, Z. Phys. C 44 (1991) 343; I. Stancu, P.M. Stevenson, Phys. Rev. D 42 (1991) 2710; R. Tarrach, Phys. Lett. B 262 (1991) 294; H. Haugerud, F. Raunda, Phys. Rev. D 43 (1991) 2736; A.N. Sissakian, I.L. Solivtosv, O.Y. Sheychenko, Phys. Lett. B 313 (1993) 367; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560.
10. For earlier similar expansions see by R. Seznec, J. Zinn- Justin, J. Math. Phys. 20 (1979) 1398; T. Barnes, G.I. Ghandour, Phys. Rev. D 22 (1980) 924; B.S. Shaverdyan, A.G. Usherveridze, Phys. Lett. B 123 (1983) 316; P.M. Stevenson, Phys. Rev. D 30 (1985) 1712; 32 (1985) 1389; P.M. Stevenson, R. Tarrach, Phys. Lett. B 176 (1986) 436; A. Okopinska, Phys. Rev. D 35 (1987) 1835; D 36 (1987) 2415; W. Namgung, P.M. Stevenson, J.F. Reed, Z. Phys. C 45 (1989) 47; U. Ritschel, Phys. Lett. B 227 (1989) 44; Z. Phys. C 51 (1991) 469; M.H. Thoma, Z. Phys. C 44 (1991) 343; I. Stancu, P.M. Stevenson, Phys. Rev. D 42 (1991) 2710; R. Tarrach, Phys. Lett. B 262 (1991) 294; H. Haugerud, F. Raunda, Phys. Rev. D 43 (1991) 2736; A.N. Sissakian, I.L. Solivtosv, O.Y. Sheychenko, Phys. Lett. B 313 (1993) 367; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560.
11. For earlier similar expansions see by R. Seznec, J. Zinn- Justin, J. Math. Phys. 20 (1979) 1398; T. Barnes, G.I. Ghandour, Phys. Rev. D 22 (1980) 924; B.S. Shaverdyan, A.G. Usherveridze, Phys. Lett. B 123 (1983) 316; P.M. Stevenson, Phys. Rev. D 30 (1985) 1712; 32 (1985) 1389; P.M. Stevenson, R. Tarrach, Phys. Lett. B 176 (1986) 436; A. Okopinska, Phys. Rev. D 35 (1987) 1835; D 36 (1987) 2415; W. Namgung, P.M. Stevenson, J.F. Reed, Z. Phys. C 45 (1989) 47; U. Ritschel, Phys. Lett. B 227 (1989) 44; Z. Phys. C 51 (1991) 469; M.H. Thoma, Z. Phys. C 44 (1991) 343; I. Stancu, P.M. Stevenson, Phys. Rev. D 42 (1991) 2710; R. Tarrach, Phys. Lett. B 262 (1991) 294; H. Haugerud, F. Raunda, Phys. Rev. D 43 (1991) 2736; A.N. Sissakian, I.L. Solivtosv, O.Y. Sheychenko, Phys. Lett. B 313 (1993) 367; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560.
12. For earlier similar expansions see by R. Seznec, J. Zinn- Justin, J. Math. Phys. 20 (1979) 1398; T. Barnes, G.I. Ghandour, Phys. Rev. D 22 (1980) 924; B.S. Shaverdyan, A.G. Usherveridze, Phys. Lett. B 123 (1983) 316; P.M. Stevenson, Phys. Rev. D 30 (1985) 1712; 32 (1985) 1389; P.M. Stevenson, R. Tarrach, Phys. Lett. B 176 (1986) 436; A. Okopinska, Phys. Rev. D 35 (1987) 1835; D 36 (1987) 2415; W. Namgung, P.M. Stevenson, J.F. Reed, Z. Phys. C 45 (1989) 47; U. Ritschel, Phys. Lett. B 227 (1989) 44; Z. Phys. C 51 (1991) 469; M.H. Thoma, Z. Phys. C 44 (1991) 343; I. Stancu, P.M. Stevenson, Phys. Rev. D 42 (1991) 2710; R. Tarrach, Phys. Lett. B 262 (1991) 294; H. Haugerud, F. Raunda, Phys. Rev. D 43 (1991) 2736; A.N. Sissakian, I.L. Solivtosv, O.Y. Sheychenko, Phys. Lett. B 313 (1993) 367; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560.
13. For earlier similar expansions see by R. Seznec, J. Zinn- Justin, J. Math. Phys. 20 (1979) 1398; T. Barnes, G.I. Ghandour, Phys. Rev. D 22 (1980) 924; B.S. Shaverdyan, A.G. Usherveridze, Phys. Lett. B 123 (1983) 316; P.M. Stevenson, Phys. Rev. D 30 (1985) 1712; 32 (1985) 1389; P.M. Stevenson, R. Tarrach, Phys. Lett. B 176 (1986) 436; A. Okopinska, Phys. Rev. D 35 (1987) 1835; D 36 (1987) 2415; W. Namgung, P.M. Stevenson, J.F. Reed, Z. Phys. C 45 (1989) 47; U. Ritschel, Phys. Lett. B 227 (1989) 44; Z. Phys. C 51 (1991) 469; M.H. Thoma, Z. Phys. C 44 (1991) 343; I. Stancu, P.M. Stevenson, Phys. Rev. D 42 (1991) 2710; R. Tarrach, Phys. Lett. B 262 (1991) 294; H. Haugerud, F. Raunda, Phys. Rev. D 43 (1991) 2736; A.N. Sissakian, I.L. Solivtosv, O.Y. Sheychenko, Phys. Lett. B 313 (1993) 367; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560.
14. For earlier similar expansions see by R. Seznec, J. Zinn- Justin, J. Math. Phys. 20 (1979) 1398; T. Barnes, G.I. Ghandour, Phys. Rev. D 22 (1980) 924; B.S. Shaverdyan, A.G. Usherveridze, Phys. Lett. B 123 (1983) 316; P.M. Stevenson, Phys. Rev. D 30 (1985) 1712; 32 (1985) 1389; P.M. Stevenson, R. Tarrach, Phys. Lett. B 176 (1986) 436; A. Okopinska, Phys. Rev. D 35 (1987) 1835; D 36 (1987) 2415; W. Namgung, P.M. Stevenson, J.F. Reed, Z. Phys. C 45 (1989) 47; U. Ritschel, Phys. Lett. B 227 (1989) 44; Z. Phys. C 51 (1991) 469; M.H. Thoma, Z. Phys. C 44 (1991) 343; I. Stancu, P.M. Stevenson, Phys. Rev. D 42 (1991) 2710; R. Tarrach, Phys. Lett. B 262 (1991) 294; H. Haugerud, F. Raunda, Phys. Rev. D 43 (1991) 2736; A.N. Sissakian, I.L. Solivtosv, O.Y. Sheychenko, Phys. Lett. B 313 (1993) 367; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560.
15. For earlier similar expansions see by R. Seznec, J. Zinn- Justin, J. Math. Phys. 20 (1979) 1398; T. Barnes, G.I. Ghandour, Phys. Rev. D 22 (1980) 924; B.S. Shaverdyan, A.G. Usherveridze, Phys. Lett. B 123 (1983) 316; P.M. Stevenson, Phys. Rev. D 30 (1985) 1712; 32 (1985) 1389; P.M. Stevenson, R. Tarrach, Phys. Lett. B 176 (1986) 436; A. Okopinska, Phys. Rev. D 35 (1987) 1835; D 36 (1987) 2415; W. Namgung, P.M. Stevenson, J.F. Reed, Z. Phys. C 45 (1989) 47; U. Ritschel, Phys. Lett. B 227 (1989) 44; Z. Phys. C 51 (1991) 469; M.H. Thoma, Z. Phys. C 44 (1991) 343; I. Stancu, P.M. Stevenson, Phys. Rev. D 42 (1991) 2710; R. Tarrach, Phys. Lett. B 262 (1991) 294; H. Haugerud, F. Raunda, Phys. Rev. D 43 (1991) 2736; A.N. Sissakian, I.L. Solivtosv, O.Y. Sheychenko, Phys. Lett. B 313 (1993) 367; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560.
16. For earlier similar expansions see by R. Seznec, J. Zinn- Justin, J. Math. Phys. 20 (1979) 1398; T. Barnes, G.I. Ghandour, Phys. Rev. D 22 (1980) 924; B.S. Shaverdyan, A.G. Usherveridze, Phys. Lett. B 123 (1983) 316; P.M. Stevenson, Phys. Rev. D 30 (1985) 1712; 32 (1985) 1389; P.M. Stevenson, R. Tarrach, Phys. Lett. B 176 (1986) 436; A. Okopinska, Phys. Rev. D 35 (1987) 1835; D 36 (1987) 2415; W. Namgung, P.M. Stevenson, J.F. Reed, Z. Phys. C 45 (1989) 47; U. Ritschel, Phys. Lett. B 227 (1989) 44; Z. Phys. C 51 (1991) 469; M.H. Thoma, Z. Phys. C 44 (1991) 343; I. Stancu, P.M. Stevenson, Phys. Rev. D 42 (1991) 2710; R. Tarrach, Phys. Lett. B 262 (1991) 294; H. Haugerud, F. Raunda, Phys. Rev. D 43 (1991) 2736; A.N. Sissakian, I.L. Solivtosv, O.Y. Sheychenko, Phys. Lett. B 313 (1993) 367; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560.
17. For earlier similar expansions see by R. Seznec, J. Zinn- Justin, J. Math. Phys. 20 (1979) 1398; T. Barnes, G.I. Ghandour, Phys. Rev. D 22 (1980) 924; B.S. Shaverdyan, A.G. Usherveridze, Phys. Lett. B 123 (1983) 316; P.M. Stevenson, Phys. Rev. D 30 (1985) 1712; 32 (1985) 1389; P.M. Stevenson, R. Tarrach, Phys. Lett. B 176 (1986) 436; A. Okopinska, Phys. Rev. D 35 (1987) 1835; D 36 (1987) 2415; W. Namgung, P.M. Stevenson, J.F. Reed, Z. Phys. C 45 (1989) 47; U. Ritschel, Phys. Lett. B 227 (1989) 44; Z. Phys. C 51 (1991) 469; M.H. Thoma, Z. Phys. C 44 (1991) 343; I. Stancu, P.M. Stevenson, Phys. Rev. D 42 (1991) 2710; R. Tarrach, Phys. Lett. B 262 (1991) 294; H. Haugerud, F. Raunda, Phys. Rev. D 43 (1991) 2736; A.N. Sissakian, I.L. Solivtosv, O.Y. Sheychenko, Phys. Lett. B 313 (1993) 367; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560.
18. For earlier similar expansions see by R. Seznec, J. Zinn- Justin, J. Math. Phys. 20 (1979) 1398; T. Barnes, G.I. Ghandour, Phys. Rev. D 22 (1980) 924; B.S. Shaverdyan, A.G. Usherveridze, Phys. Lett. B 123 (1983) 316; P.M. Stevenson, Phys. Rev. D 30 (1985) 1712; 32 (1985) 1389; P.M. Stevenson, R. Tarrach, Phys. Lett. B 176 (1986) 436; A. Okopinska, Phys. Rev. D 35 (1987) 1835; D 36 (1987) 2415; W. Namgung, P.M. Stevenson, J.F. Reed, Z. Phys. C 45 (1989) 47; U. Ritschel, Phys. Lett. B 227 (1989) 44; Z. Phys. C 51 (1991) 469; M.H. Thoma, Z. Phys. C 44 (1991) 343; I. Stancu, P.M. Stevenson, Phys. Rev. D 42 (1991) 2710; R. Tarrach, Phys. Lett. B 262 (1991) 294; H. Haugerud, F. Raunda, Phys. Rev. D 43 (1991) 2736; A.N. Sissakian, I.L. Solivtosv, O.Y. Sheychenko, Phys. Lett. B 313 (1993) 367; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560.
19. For earlier similar expansions see by R. Seznec, J. Zinn- Justin, J. Math. Phys. 20 (1979) 1398; T. Barnes, G.I. Ghandour, Phys. Rev. D 22 (1980) 924; B.S. Shaverdyan, A.G. Usherveridze, Phys. Lett. B 123 (1983) 316; P.M. Stevenson, Phys. Rev. D 30 (1985) 1712; 32 (1985) 1389; P.M. Stevenson, R. Tarrach, Phys. Lett. B 176 (1986) 436; A. Okopinska, Phys. Rev. D 35 (1987) 1835; D 36 (1987) 2415; W. Namgung, P.M. Stevenson, J.F. Reed, Z. Phys. C 45 (1989) 47; U. Ritschel, Phys. Lett. B 227 (1989) 44; Z. Phys. C 51 (1991) 469; M.H. Thoma, Z. Phys. C 44 (1991) 343; I. Stancu, P.M. Stevenson, Phys. Rev. D 42 (1991) 2710; R. Tarrach, Phys. Lett. B 262 (1991) 294; H. Haugerud, F. Raunda, Phys. Rev. D 43 (1991) 2736; A.N. Sissakian, I.L. Solivtosv, O.Y. Sheychenko, Phys. Lett. B 313 (1993) 367; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560.
20. For earlier similar expansions see by R. Seznec, J. Zinn- Justin, J. Math. Phys. 20 (1979) 1398; T. Barnes, G.I. Ghandour, Phys. Rev. D 22 (1980) 924; B.S. Shaverdyan, A.G. Usherveridze, Phys. Lett. B 123 (1983) 316; P.M. Stevenson, Phys. Rev. D 30 (1985) 1712; 32 (1985) 1389; P.M. Stevenson, R. Tarrach, Phys. Lett. B 176 (1986) 436; A. Okopinska, Phys. Rev. D 35 (1987) 1835; D 36 (1987) 2415; W. Namgung, P.M. Stevenson, J.F. Reed, Z. Phys. C 45 (1989) 47; U. Ritschel, Phys. Lett. B 227 (1989) 44; Z. Phys. C 51 (1991) 469; M.H. Thoma, Z. Phys. C 44 (1991) 343; I. Stancu, P.M. Stevenson, Phys. Rev. D 42 (1991) 2710; R. Tarrach, Phys. Lett. B 262 (1991) 294; H. Haugerud, F. Raunda, Phys. Rev. D 43 (1991) 2736; A.N. Sissakian, I.L. Solivtosv, O.Y. Sheychenko, Phys. Lett. B 313 (1993) 367; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560.
21. For earlier similar expansions see by R. Seznec, J. Zinn- Justin, J. Math. Phys. 20 (1979) 1398; T. Barnes, G.I. Ghandour, Phys. Rev. D 22 (1980) 924; B.S. Shaverdyan, A.G. Usherveridze, Phys. Lett. B 123 (1983) 316; P.M. Stevenson, Phys. Rev. D 30 (1985) 1712; 32 (1985) 1389; P.M. Stevenson, R. Tarrach, Phys. Lett. B 176 (1986) 436; A. Okopinska, Phys. Rev. D 35 (1987) 1835; D 36 (1987) 2415; W. Namgung, P.M. Stevenson, J.F. Reed, Z. Phys. C 45 (1989) 47; U. Ritschel, Phys. Lett. B 227 (1989) 44; Z. Phys. C 51 (1991) 469; M.H. Thoma, Z. Phys. C 44 (1991) 343; I. Stancu, P.M. Stevenson, Phys. Rev. D 42 (1991) 2710; R. Tarrach, Phys. Lett. B 262 (1991) 294; H. Haugerud, F. Raunda, Phys. Rev. D 43 (1991) 2736; A.N. Sissakian, I.L. Solivtosv, O.Y. Sheychenko, Phys. Lett. B 313 (1993) 367; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560.
22. For earlier similar expansions see by R. Seznec, J. Zinn- Justin, J. Math. Phys. 20 (1979) 1398; T. Barnes, G.I. Ghandour, Phys. Rev. D 22 (1980) 924; B.S. Shaverdyan, A.G. Usherveridze, Phys. Lett. B 123 (1983) 316; P.M. Stevenson, Phys. Rev. D 30 (1985) 1712; 32 (1985) 1389; P.M. Stevenson, R. Tarrach, Phys. Lett. B 176 (1986) 436; A. Okopinska, Phys. Rev. D 35 (1987) 1835; D 36 (1987) 2415; W. Namgung, P.M. Stevenson, J.F. Reed, Z. Phys. C 45 (1989) 47; U. Ritschel, Phys. Lett. B 227 (1989) 44; Z. Phys. C 51 (1991) 469; M.H. Thoma, Z. Phys. C 44 (1991) 343; I. Stancu, P.M. Stevenson, Phys. Rev. D 42 (1991) 2710; R. Tarrach, Phys. Lett. B 262 (1991) 294; H. Haugerud, F. Raunda, Phys. Rev. D 43 (1991) 2736; A.N. Sissakian, I.L. Solivtosv, O.Y. Sheychenko, Phys. Lett. B 313 (1993) 367; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560.
23. For earlier similar expansions see by R. Seznec, J. Zinn- Justin, J. Math. Phys. 20 (1979) 1398; T. Barnes, G.I. Ghandour, Phys. Rev. D 22 (1980) 924; B.S. Shaverdyan, A.G. Usherveridze, Phys. Lett. B 123 (1983) 316; P.M. Stevenson, Phys. Rev. D 30 (1985) 1712; 32 (1985) 1389; P.M. Stevenson, R. Tarrach, Phys. Lett. B 176 (1986) 436; A. Okopinska, Phys. Rev. D 35 (1987) 1835; D 36 (1987) 2415; W. Namgung, P.M. Stevenson, J.F. Reed, Z. Phys. C 45 (1989) 47; U. Ritschel, Phys. Lett. B 227 (1989) 44; Z. Phys. C 51 (1991) 469; M.H. Thoma, Z. Phys. C 44 (1991) 343; I. Stancu, P.M. Stevenson, Phys. Rev. D 42 (1991) 2710; R. Tarrach, Phys. Lett. B 262 (1991) 294; H. Haugerud, F. Raunda, Phys. Rev. D 43 (1991) 2736; A.N. Sissakian, I.L. Solivtosv, O.Y. Sheychenko, Phys. Lett. B 313 (1993) 367; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560.
24. For earlier similar expansions see by R. Seznec, J. Zinn- Justin, J. Math. Phys. 20 (1979) 1398; T. Barnes, G.I. Ghandour, Phys. Rev. D 22 (1980) 924; B.S. Shaverdyan, A.G. Usherveridze, Phys. Lett. B 123 (1983) 316; P.M. Stevenson, Phys. Rev. D 30 (1985) 1712; 32 (1985) 1389; P.M. Stevenson, R. Tarrach, Phys. Lett. B 176 (1986) 436; A. Okopinska, Phys. Rev. D 35 (1987) 1835; D 36 (1987) 2415; W. Namgung, P.M. Stevenson, J.F. Reed, Z. Phys. C 45 (1989) 47; U. Ritschel, Phys. Lett. B 227 (1989) 44; Z. Phys. C 51 (1991) 469; M.H. Thoma, Z. Phys. C 44 (1991) 343; I. Stancu, P.M. Stevenson, Phys. Rev. D 42 (1991) 2710; R. Tarrach, Phys. Lett. B 262 (1991) 294; H. Haugerud, F. Raunda, Phys. Rev. D 43 (1991) 2736; A.N. Sissakian, I.L. Solivtosv, O.Y. Sheychenko, Phys. Lett. B 313 (1993) 367; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560.
25. W. Janke, H. Kleinert, Phys. Lett. A 199 (1995) 287.
26. W. Janke, H. Kleinert, Phys. Rev. Lett. 75 (1995) 2787, quant-ph/9502019; That paper contains references to earlier, less accurate calculations of strong-coupling expansion coefficients from weak-coupling perturbation theory, in particular F.M. Fernández, R. Guardiola, J. Phys. A 26 (1993) 7169; F.M. Fernández, Phys. Lett. A 166 (1992) 173; R. Guardiola, M.A. Solís, J. Ros, Nuovo Cimento B 107 (1992) 713; A.V. Turbiner, A.G. Ushveridze, J. Math. Phys. 29 (1988) 2053; B. Bonnier, M. Hontebeyrie, E.H. Ticembal, J. Math. Phys. 26 (1985) 3048; Those works did not extract the exponential law of convergence from their data.
27. W. Janke, H. Kleinert, Phys. Rev. Lett. 75 (1995) 2787, quant-ph/9502019; That paper contains references to earlier, less accurate calculations of strong-coupling expansion coefficients from weak-coupling perturbation theory, in particular F.M. Fernández, R. Guardiola, J. Phys. A 26 (1993) 7169; F.M. Fernández, Phys. Lett. A 166 (1992) 173; R. Guardiola, M.A. Solís, J. Ros, Nuovo Cimento B 107 (1992) 713; A.V. Turbiner, A.G. Ushveridze, J. Math. Phys. 29 (1988) 2053; B. Bonnier, M. Hontebeyrie, E.H. Ticembal, J. Math. Phys. 26 (1985) 3048; Those works did not extract the exponential law of convergence from their data.
28. W. Janke, H. Kleinert, Phys. Rev. Lett. 75 (1995) 2787, quant-ph/9502019; That paper contains references to earlier, less accurate calculations of strong-coupling expansion coefficients from weak-coupling perturbation theory, in particular F.M. Fernández, R. Guardiola, J. Phys. A 26 (1993) 7169; F.M. Fernández, Phys. Lett. A 166 (1992) 173; R. Guardiola, M.A. Solís, J. Ros, Nuovo Cimento B 107 (1992) 713; A.V. Turbiner, A.G. Ushveridze, J. Math. Phys. 29 (1988) 2053; B. Bonnier, M. Hontebeyrie, E.H. Ticembal, J. Math. Phys. 26 (1985) 3048; Those works did not extract the exponential law of convergence from their data.
29. W. Janke, H. Kleinert, Phys. Rev. Lett. 75 (1995) 2787, quant-ph/9502019; That paper contains references to earlier, less accurate calculations of strong-coupling expansion coefficients from weak-coupling perturbation theory, in particular F.M. Fernández, R. Guardiola, J. Phys. A 26 (1993) 7169; F.M. Fernández, Phys. Lett. A 166 (1992) 173; R. Guardiola, M.A. Solís, J. Ros, Nuovo Cimento B 107 (1992) 713; A.V. Turbiner, A.G. Ushveridze, J. Math. Phys. 29 (1988) 2053; B. Bonnier, M. Hontebeyrie, E.H. Ticembal, J. Math. Phys. 26 (1985) 3048; Those works did not extract the exponential law of convergence from their data.
30. W. Janke, H. Kleinert, Phys. Rev. Lett. 75 (1995) 2787, quant-ph/9502019; That paper contains references to earlier, less accurate calculations of strong-coupling expansion coefficients from weak-coupling perturbation theory, in particular F.M. Fernández, R. Guardiola, J. Phys. A 26 (1993) 7169; F.M. Fernández, Phys. Lett. A 166 (1992) 173; R. Guardiola, M.A. Solís, J. Ros, Nuovo Cimento B 107 (1992) 713; A.V. Turbiner, A.G. Ushveridze, J. Math. Phys. 29 (1988) 2053; B. Bonnier, M. Hontebeyrie, E.H. Ticembal, J. Math. Phys. 26 (1985) 3048; Those works did not extract the exponential law of convergence from their data.
31. W. Janke, H. Kleinert, Phys. Rev. Lett. 75 (1995) 2787, quant-ph/9502019; That paper contains references to earlier, less accurate calculations of strong-coupling expansion coefficients from weak-coupling perturbation theory, in particular F.M. Fernández, R. Guardiola, J. Phys. A 26 (1993) 7169; F.M. Fernández, Phys. Lett. A 166 (1992) 173; R. Guardiola, M.A. Solís, J. Ros, Nuovo Cimento B 107 (1992) 713; A.V. Turbiner, A.G. Ushveridze, J. Math. Phys. 29 (1988) 2053; B. Bonnier, M. Hontebeyrie, E.H. Ticembal, J. Math. Phys. 26 (1985) 3048; Those works did not extract the exponential law of convergence from their data.
32. W. Janke, H. Kleinert, Phys. Rev. Lett. 75 (1995) 2787, quant-ph/9502019; That paper contains references to earlier, less accurate calculations of strong-coupling expansion coefficients from weak-coupling perturbation theory, in particular F.M. Fernández, R. Guardiola, J. Phys. A 26 (1993) 7169; F.M. Fernández, Phys. Lett. A 166 (1992) 173; R. Guardiola, M.A. Solís, J. Ros, Nuovo Cimento B 107 (1992) 713; A.V. Turbiner, A.G. Ushveridze, J. Math. Phys. 29 (1988) 2053; B. Bonnier, M. Hontebeyrie, E.H. Ticembal, J. Math. Phys. 26 (1985) 3048; Those works did not extract the exponential law of convergence from their data.
33. 0 with ω′ ≠ ω. These will be neglected, this being equivalent to the neglect of confluent singularities at the infrared-stable fixed point in the renormalization group approach discussed by B.G. Nickel, Phyica A 177 (1991) 189; A. Pelissetto, E. Vicari (University of Pisa preprint IFUP-TH 52/97)
34. 0 with ω′ ≠ ω. These will be neglected, this being equivalent to the neglect of confluent singularities at the infrared-stable fixed point in the renormalization group approach discussed by B.G. Nickel, Phyica A 177 (1991) 189; A. Pelissetto, E. Vicari (University of Pisa preprint IFUP-TH 52/97)
35. 0 with ω′ ≠ ω. These will be neglected, this being equivalent to the neglect of confluent singularities at the infrared-stable fixed point in the renormalization group approach discussed by B.G. Nickel, Phyica A 177 (1991) 189; A. Pelissetto, E. Vicari (University of Pisa preprint IFUP-TH 52/97)
36. A convergence proof for the anharmonic oscillator which is completely equivalent our results in [8] was given by R. Guida, K. Konishi, H. Suzuki, Annals Phys. 249 (1996) 109, hep-th/9505084. Predecessors of these works which did not explain the exponentially fast convergence in the strong-couplings limit observed in Ref. [7] are I.R.C. Buckley, A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2554; C.M. Bender, A. Duncan, H.F. Jones, Phys. Rev. D 49 (1994) 4219; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560; C. Arvanitis, H.F. Jones, C.S. Parker, Phys. Rev. D 52 (1995) 3704, hep-th/9502386; R. Guida, K. Konishi, H. Suzuki, Annals Phys. 241 (1995) 152, hep-th/9407027.
37. A convergence proof for the anharmonic oscillator which is completely equivalent our results in [8] was given by R. Guida, K. Konishi, H. Suzuki, Annals Phys. 249 (1996) 109, hep-th/9505084. Predecessors of these works which did not explain the exponentially fast convergence in the strong-couplings limit observed in Ref. [7] are I.R.C. Buckley, A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2554; C.M. Bender, A. Duncan, H.F. Jones, Phys. Rev. D 49 (1994) 4219; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560; C. Arvanitis, H.F. Jones, C.S. Parker, Phys. Rev. D 52 (1995) 3704, hep-th/9502386; R. Guida, K. Konishi, H. Suzuki, Annals Phys. 241 (1995) 152, hep-th/9407027.
38. A convergence proof for the anharmonic oscillator which is completely equivalent our results in [8] was given by R. Guida, K. Konishi, H. Suzuki, Annals Phys. 249 (1996) 109, hep-th/9505084. Predecessors of these works which did not explain the exponentially fast convergence in the strong-couplings limit observed in Ref. [7] are I.R.C. Buckley, A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2554; C.M. Bender, A. Duncan, H.F. Jones, Phys. Rev. D 49 (1994) 4219; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560; C. Arvanitis, H.F. Jones, C.S. Parker, Phys. Rev. D 52 (1995) 3704, hep-th/9502386; R. Guida, K. Konishi, H. Suzuki, Annals Phys. 241 (1995) 152, hep-th/9407027.
39. A convergence proof for the anharmonic oscillator which is completely equivalent our results in [8] was given by R. Guida, K. Konishi, H. Suzuki, Annals Phys. 249 (1996) 109, hep-th/9505084. Predecessors of these works which did not explain the exponentially fast convergence in the strong-couplings limit observed in Ref. [7] are I.R.C. Buckley, A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2554; C.M. Bender, A. Duncan, H.F. Jones, Phys. Rev. D 49 (1994) 4219; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560; C. Arvanitis, H.F. Jones, C.S. Parker, Phys. Rev. D 52 (1995) 3704, hep-th/9502386; R. Guida, K. Konishi, H. Suzuki, Annals Phys. 241 (1995) 152, hep-th/9407027.
40. A convergence proof for the anharmonic oscillator which is completely equivalent our results in [8] was given by R. Guida, K. Konishi, H. Suzuki, Annals Phys. 249 (1996) 109, hep-th/9505084. Predecessors of these works which did not explain the exponentially fast convergence in the strong-couplings limit observed in Ref. [7] are I.R.C. Buckley, A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2554; C.M. Bender, A. Duncan, H.F. Jones, Phys. Rev. D 49 (1994) 4219; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560; C. Arvanitis, H.F. Jones, C.S. Parker, Phys. Rev. D 52 (1995) 3704, hep-th/9502386; R. Guida, K. Konishi, H. Suzuki, Annals Phys. 241 (1995) 152, hep-th/9407027.
41. A convergence proof for the anharmonic oscillator which is completely equivalent our results in [8] was given by R. Guida, K. Konishi, H. Suzuki, Annals Phys. 249 (1996) 109, hep-th/9505084. Predecessors of these works which did not explain the exponentially fast convergence in the strong-couplings limit observed in Ref. [7] are I.R.C. Buckley, A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2554; C.M. Bender, A. Duncan, H.F. Jones, Phys. Rev. D 49 (1994) 4219; A. Duncan, H.F. Jones, Phys. Rev. D 47 (1993) 2560; C. Arvanitis, H.F. Jones, C.S. Parker, Phys. Rev. D 52 (1995) 3704, hep-th/9502386; R. Guida, K. Konishi, H. Suzuki, Annals Phys. 241 (1995) 152, hep-th/9407027.
42. H. Kleinert, Phys. Lett. A 207 (1995) 133, quant-ph/9507005.
43. H. Kleinert, J. Neu, V. Schulte-Frohlinde, K.G. Chetyrkin, S.A. Larin, Phys. Lett. B 272 (1991) 39, hep-th/9503230; H. Kleinert, V. Schulte-Frohlinde, Phys. Lett. B 342 (1995) 284 (cond-mat/9503038).
44. H. Kleinert, J. Neu, V. Schulte-Frohlinde, K.G. Chetyrkin, S.A. Larin, Phys. Lett. B 272 (1991) 39, hep-th/9503230; H. Kleinert, V. Schulte-Frohlinde, Phys. Lett. B 342 (1995) 284 (cond-mat/9503038).