Optimized δ - expansion and triviality or non-triviality of field theories

Zeitschrift fur Physik C-Particles and Fields

Volumn 71, Issue 2, 1996, Pages 347-355

  Gromes, Dieter ^a  

^a INSTITUT FÜR THEORETISCHE PHYSIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001683449     PISSN: 01709739     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002880050181     Document Type: Article

References (43)

1. P.M. Stevenson: Phys. Rev. D32, 1389 (1985)
2. P.M. Stevenson: Phys. Rev. D23, 2916 (1981)
3. I.R.C. Buckley, A. Duncan, H.F. Jones: Phys. Rev. D47, 2554 (1993);
4. A. Duncan, H.F. Jones:, Phys. Rev. D47, 2560 (1993);
5. C.M. Bender, A. Duncan, H.F. Jones: Phys. Rev. D49, 4219 (1994);
6. C. Arvanitis, H.F. Jones, C.S. Parker: Phys. Rev. D52, 3704 (1995);
7. In a slightly more general context see also R. Guida, K. Konishi, H. Suzuki, Ann. Phys. (N.Y.) 241, 152 (1995); preprint May 1995 hep-th-9505084
8. A. Okopińska: Phys. Rev. D35, 1835 (1987); H.W.L. Naus, T. Gasenzer, H.J. Pirner: Heidelberg preprint HD-TVP-95-11 (July 1995)
9. P.M. Stevenson, B. Allès, R. Tarrach: Phys. Rev. D35, 2407 (1987)
10. I. Stancu, P.M. Stevenson: Phys. Rev. D42, 2710 (1990)
11. I. Stancu: Phys. Rev. D 43, 1283 (1991).
12. J.O. Akeyo, H.F. Jones: Z. Phys. C58, 629 (1993) and references therein;
13. S.K. Gandhi, H.F. Jones, M.B. Pinto: Nucl. Phys. B359, 429 (1991);
14. S.K. Gandhi, M.B. Pinto: Phys. Rev. D49, 4258 (1994);
15. M.B. Pinto: Phys. Rev. D50, 7673 (1994); C. Arvanitis, F. Geniet, A Neveu: preprint March 1995, hep-th-9506188; G. Krein, D.P. Menezes, M. Nielsen, M.B. Pinto: preprint May 1995, hep-ph-9505216
16. P. M. Stevenson: Phys. Rev. D30, 1712 (1984)
17. C. Itzykson, J.B .Zuber: Quantum Field Theory, Mc. Graw Hill 1980
18. P.M. Stevenson: Z. Phys. C24, 87 (1984)
19. M. Consoli, A. Ciancitto: Nucl. Phys. B254, 653 (1985);
20. P.M. Stevenson, R. Tarrach: Phys. Lett. B176, 436 (1986);
21. J. Soto: Nucl. Phys. B316, 141 (1989)
22. K.G. Wilson: Phys. Rev. D6 (1972) 419, footnote no. 8;
23. K.G. Wilson, J. Kogut: Phys. Rep. 12, 75 (1974);
24. G.A. Baker, J.M. Kincaid: Phys. Rev. Lett. 42, 1431 (1979);
25. M. Aizenmann: Phys. Rev. Lett. 47, 1 (1981);
26. Comm. Math. Phys. 86, 1 (1982);
27. J. Fröhlich: Nucl. Phys. B 200 [FS4], 281 (1982);
28. B. Friedman, P. Smolensky, D. Weingarten: Phys. Lett. B113, 481 (1982);
29. C. Aragão de Carvalho, C.S. Caracciolo, J. Fröhlich: Nucl. Phys. B215 [Fs7], 209 (1983);
30. I.A. Fox, I.G. Halliday: Phys. Lett. B159, 148 (1985);
31. M. Lüscher, P. Weisz: Nucl. Phys. B290 [FS20], 25 (1987);
32. M. Lüscher, P. Weisz: Nucl. Phys. 295 [FS21], 65 (1988);
33. M. Lüscher, P. Weisz: Nucl. Phys. 318, 705 (1989); M. Consoli, P.M. Stevenson: Preprint March 1994, hep-ph-9403299.
34. For lattice calculations sec H. Neuberger: Nucl. Phys. B (Proc. Suppl.) 17 (1990),
35. Lattice 89, 17 (1990) and references therein
36. M. Lüscher: Nucl. Phys. B341, 341 (1990)
37. J. Fujimoto et al.: Progr. of Theoret. Phys. Suppl. 100, 1, 1990
38. J. Gasser, H. Leutwyler: Phys. Rep. 87, 77 (1982)
39. I.L. Solovtsov: Phys. Lett. B327, 335 (1994);
40. I.L. Solovtsov: Phys. Lett. 340, 245 (1994);
41. I.L. Solovtsov, O.P. Solovtsova: Phys. Lett. B344, 377 (1995);
42. H.F. Jones, I.L. Solovtsov: Phys. Lett. B349, 519 (1995);
43. H.F. Jones, I.L. Solovtsov, O.P. Solovtsova: Phys. Lett B357, 441 (1995)