Non-ladder extended renormalization group analysis of the dynamical chiral symmetry breaking

Progress of Theoretical Physics

Volumn 103, Issue 4, 2000, Pages 815-832

  Aoki, Ken Ichi ^a   Takagi, Kaoru ^a   Terao, Haruhiko ^a   Tomoyose, Masashi ^a  

^a KANAZAWA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034344880     PISSN: 0033068X     EISSN: None     Source Type: Journal    
DOI: 10.1143/PTP.103.815     Document Type: Article

References (61)

1. Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122 (1961), 345.
2. T. Maskawa and H. Nakajima, Prog. Theor. Phys. 52 (1974), 1326. R. Fukuda and T. Kugo, Nucl. Phys. B117 (1976), 250. V. V. Miransky, Nuovo Cim. 90A (1985), 149.
3. T. Maskawa and H. Nakajima, Prog. Theor. Phys. 52 (1974), 1326. R. Fukuda and T. Kugo, Nucl. Phys. B117 (1976), 250. V. V. Miransky, Nuovo Cim. 90A (1985), 149.
4. T. Maskawa and H. Nakajima, Prog. Theor. Phys. 52 (1974), 1326. R. Fukuda and T. Kugo, Nucl. Phys. B117 (1976), 250. V. V. Miransky, Nuovo Cim. 90A (1985), 149.
5. K.-I. Kondo, H. Mino and K. Yamawaki, Phys. Rev. D39 (1989), 2430. K. Yamawaki, in Proc. Johns Hopkins Workshop on Current Problems in Particle Theory 12, Baltimore, 1988, ed. G. Domokos and S. Kovesi-Domokos (World Scientific, Singapore, 1988). T. Appelquist, M. Soldate, T. Takeuchi and L. C. R. Wijewardhana, ibid. W. A. Bardeen, C. N. Leung and S. T. Love, Phys. Rev. Lett. 56 (1986), 1230. C. N. Leung, S. T. Love and W. A. Bardeen, Nucl. Phys. B273 (1986), 649.
6. K.-I. Kondo, H. Mino and K. Yamawaki, Phys. Rev. D39 (1989), 2430. K. Yamawaki, in Proc. Johns Hopkins Workshop on Current Problems in Particle Theory 12, Baltimore, 1988, ed. G. Domokos and S. Kovesi-Domokos (World Scientific, Singapore, 1988). T. Appelquist, M. Soldate, T. Takeuchi and L. C. R. Wijewardhana, ibid. W. A. Bardeen, C. N. Leung and S. T. Love, Phys. Rev. Lett. 56 (1986), 1230. C. N. Leung, S. T. Love and W. A. Bardeen, Nucl. Phys. B273 (1986), 649.
7. K.-I. Kondo, H. Mino and K. Yamawaki, Phys. Rev. D39 (1989), 2430. K. Yamawaki, in Proc. Johns Hopkins Workshop on Current Problems in Particle Theory 12, Baltimore, 1988, ed. G. Domokos and S. Kovesi-Domokos (World Scientific, Singapore, 1988). T. Appelquist, M. Soldate, T. Takeuchi and L. C. R. Wijewardhana, ibid. W. A. Bardeen, C. N. Leung and S. T. Love, Phys. Rev. Lett. 56 (1986), 1230. C. N. Leung, S. T. Love and W. A. Bardeen, Nucl. Phys. B273 (1986), 649.
8. K.-I. Kondo, H. Mino and K. Yamawaki, Phys. Rev. D39 (1989), 2430. K. Yamawaki, in Proc. Johns Hopkins Workshop on Current Problems in Particle Theory 12, Baltimore, 1988, ed. G. Domokos and S. Kovesi-Domokos (World Scientific, Singapore, 1988). T. Appelquist, M. Soldate, T. Takeuchi and L. C. R. Wijewardhana, ibid. W. A. Bardeen, C. N. Leung and S. T. Love, Phys. Rev. Lett. 56 (1986), 1230. C. N. Leung, S. T. Love and W. A. Bardeen, Nucl. Phys. B273 (1986), 649.
9. K.-I. Kondo, H. Mino and K. Yamawaki, Phys. Rev. D39 (1989), 2430. K. Yamawaki, in Proc. Johns Hopkins Workshop on Current Problems in Particle Theory 12, Baltimore, 1988, ed. G. Domokos and S. Kovesi-Domokos (World Scientific, Singapore, 1988). T. Appelquist, M. Soldate, T. Takeuchi and L. C. R. Wijewardhana, ibid. W. A. Bardeen, C. N. Leung and S. T. Love, Phys. Rev. Lett. 56 (1986), 1230. C. N. Leung, S. T. Love and W. A. Bardeen, Nucl. Phys. B273 (1986), 649.
10. K. Yamawaki, M. Bando and K. Matumoto, Phys. Rev. Lett. 56 (1986), 1335. T. Akiba and T. Yanagida, Phys. Lett. B169 (1986), 432. B. Holdom, Phys. Rev. D24 (1981), 1441.
11. K. Yamawaki, M. Bando and K. Matumoto, Phys. Rev. Lett. 56 (1986), 1335. T. Akiba and T. Yanagida, Phys. Lett. B169 (1986), 432. B. Holdom, Phys. Rev. D24 (1981), 1441.
12. K. Yamawaki, M. Bando and K. Matumoto, Phys. Rev. Lett. 56 (1986), 1335. T. Akiba and T. Yanagida, Phys. Lett. B169 (1986), 432. B. Holdom, Phys. Rev. D24 (1981), 1441.
13. V. A. Miransky, M. Tanabashi and K. Yamawaki, Phys. Lett. B221 (1989), 177. B. Holdom, Phys. Rev. D54 (1996), 1068. K. Yamawaki, hep-ph/9603293, in the proceedings of 14th Symposium on Theoretical Physics: Dynamical Symmetry Breaking and Effective Field Theory, Cheju, Korea, 21-26 Jul, 1995.
14. V. A. Miransky, M. Tanabashi and K. Yamawaki, Phys. Lett. B221 (1989), 177. B. Holdom, Phys. Rev. D54 (1996), 1068. K. Yamawaki, hep-ph/9603293, in the proceedings of 14th Symposium on Theoretical Physics: Dynamical Symmetry Breaking and Effective Field Theory, Cheju, Korea, 21-26 Jul, 1995.
15. V. A. Miransky, M. Tanabashi and K. Yamawaki, Phys. Lett. B221 (1989), 177. B. Holdom, Phys. Rev. D54 (1996), 1068. K. Yamawaki, hep-ph/9603293, in the proceedings of 14th Symposium on Theoretical Physics: Dynamical Symmetry Breaking and Effective Field Theory, Cheju, Korea, 21-26 Jul, 1995.
16. W. A. Bardeen, C. T. Hill and M. Lindner, Phys. Rev. D41 (1990), 1647.
17. K. Higashijima, Phys. Rev. D29 (1984), 1228.
18. K-I. Aoki, T. Kugo and M. G. Mitchard, Phys. Lett. B266 (1991), 467. K-I. Aoki, M. Bando, T. Kugo, M. G. Mitchard and H. Nakatani, Prog. Theor. Phys. 84 (1990), 683.
19. K-I. Aoki, T. Kugo and M. G. Mitchard, Phys. Lett. B266 (1991), 467. K-I. Aoki, M. Bando, T. Kugo, M. G. Mitchard and H. Nakatani, Prog. Theor. Phys. 84 (1990), 683.
20. K-I. Aoki, M. Bando, T. Kugo, K. Hasebe and H. Nakatani. Prog. Theor. Phys. 81 (1989), 866.
21. K.-I. Kordo and H. Nakatani, Nucl. Phys. B351 (1991), 236; Prog. Theor. Phys. 88 (1992), 737. K.-I. Kondo, Int. J. Mod. Phys. A7 (1992), 7239.
22. K.-I. Kordo and H. Nakatani, Nucl. Phys. B351 (1991), 236; Prog. Theor. Phys. 88 (1992), 737. K.-I. Kondo, Int. J. Mod. Phys. A7 (1992), 7239.
23. K.-I. Kordo and H. Nakatani, Nucl. Phys. B351 (1991), 236; Prog. Theor. Phys. 88 (1992), 737. K.-I. Kondo, Int. J. Mod. Phys. A7 (1992), 7239.
24. K. G. Wilson and J. Kogut, Phys. Rep. 12 (1974), 75.
25. F. J. Wegner and A. Houghton, Phys. Rev. A8 (1973), 401.
26. J. Polchinski, Nucl. Phys. B231 (1984), 269. G. Keller, C. Kopper and M. Salmhofer, Helv. Phys. Acta. 65 (1992), 32.
27. J. Polchinski, Nucl. Phys. B231 (1984), 269. G. Keller, C. Kopper and M. Salmhofer, Helv. Phys. Acta. 65 (1992), 32.
28. C. Wetterich, Phys. Lett. B301 (1993), 90. M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B409 (1993), 441. T. R. Morris, Int. J. Mod. Phys. A9 (1994), 2411.
29. C. Wetterich, Phys. Lett. B301 (1993), 90. M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B409 (1993), 441. T. R. Morris, Int. J. Mod. Phys. A9 (1994), 2411.
30. C. Wetterich, Phys. Lett. B301 (1993), 90. M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B409 (1993), 441. T. R. Morris, Int. J. Mod. Phys. A9 (1994), 2411.
31. K-I. Aoki, K. Morikawa, J.-I. Sumi, H. Terao and M. Tomoyose, Prog. Theor. Phys. 97 (1997), 479.
32. K-I. Aoki, K. Morikawa, J.-I. Sumi, H. Terao and M. Tomoyose, Prog. Theor. Phys. 102 (1999), 1151.
33. K-I. Aoki, Prog. Theor. Phys. Suppl. No. 131 (1998), 129; to appear in Int. J. Mod. Phys. B. T. R. Morris, Prog. Theor. Phys Suppl. No. 131 (1998), 39 5. D. U. Jungnickel and C. Wetterich, ibid. 49 5.
34. K-I. Aoki, Prog. Theor. Phys. Suppl. No. 131 (1998), 129; to appear in Int. J. Mod. Phys. B. T. R. Morris, Prog. Theor. Phys Suppl. No. 131 (1998), 39 5. D. U. Jungnickel and C. Wetterich, ibid. 49 5.
35. K-I. Aoki, Prog. Theor. Phys. Suppl. No. 131 (1998), 129; to appear in Int. J. Mod. Phys. B. T. R. Morris, Prog. Theor. Phys Suppl. No. 131 (1998), 39 5. D. U. Jungnickel and C. Wetterich, ibid. 49 5.
36. K-I. Aoki, Prog. Theor. Phys. Suppl. No. 131 (1998), 129; to appear in Int. J. Mod. Phys. B. T. R. Morris, Prog. Theor. Phys Suppl. No. 131 (1998), 39 5. D. U. Jungnickel and C. Wetterich, ibid. 49 5.
37. A. Hasenfratz and P. Hasenfratz, Nucl. Phys. B270 (1986), 269. T. R. Morris, Phys. Lett. B334 (1994), 355.
38. A. Hasenfratz and P. Hasenfratz, Nucl. Phys. B270 (1986), 269. T. R. Morris, Phys. Lett. B334 (1994), 355.
39. T. E. Clark, B. Haeri and S. T. Love, Nucl. Phys. B402 (1993), 628.
40. K-I. Aoki, K. Morikawa, W. Souma, J. I. Sumi and H. Terao, Prog. Theor. Phys. 95 (1996), 409; 99 (1998), 451.
41. K-I. Aoki, K. Morikawa, W. Souma, J. I. Sumi and H. Terao, Prog. Theor. Phys. 95 (1996), 409; 99 (1998), 451.
42. K-I. Aoki, K. Morikawa, J.-I. Sumi, H. Terao and M. Tomoyose, Phys. Rev. D61 (2000), 045008.
43. D. U. Jungnickel and C. Wetterich, Lectures given at Workshop on the Exact Renormalization Group, Faro, Portugal, 10-12 Sep 1998, hep-ph/9902316; Confinement, duality, and nonperturbative aspects of QCD (Cambridge, 1997), p. 215. J. Berges, D. U. Jungnickel and C. Wetterich, hep-ph/9811347. H. Kouno, M. Nakai, A. Hasegawa and M. Nakano, nucl-th/9808058. J. Berges, D. U. Jungnickel and C. Wetterich, Phys. Rev. D59 (1999), 34010. M. Reuter and C. Wetterich, Phys. Rev. D56 (1997), 7893. H. Kodama and J.-I. Sumi, Prog. Theor. Phys. 103 (2000), 393. K. Kubota and H. Terao, Prog. Theor. Phys. 102 (1999), 1163
44. D. U. Jungnickel and C. Wetterich, Lectures given at Workshop on the Exact Renormalization Group, Faro, Portugal, 10-12 Sep 1998, hep-ph/9902316; Confinement, duality, and nonperturbative aspects of QCD (Cambridge, 1997), p. 215. J. Berges, D. U. Jungnickel and C. Wetterich, hep-ph/9811347. H. Kouno, M. Nakai, A. Hasegawa and M. Nakano, nucl-th/9808058. J. Berges, D. U. Jungnickel and C. Wetterich, Phys. Rev. D59 (1999), 34010. M. Reuter and C. Wetterich, Phys. Rev. D56 (1997), 7893. H. Kodama and J.-I. Sumi, Prog. Theor. Phys. 103 (2000), 393. K. Kubota and H. Terao, Prog. Theor. Phys. 102 (1999), 1163
45. D. U. Jungnickel and C. Wetterich, Lectures given at Workshop on the Exact Renormalization Group, Faro, Portugal, 10-12 Sep 1998, hep-ph/9902316; Confinement, duality, and nonperturbative aspects of QCD (Cambridge, 1997), p. 215. J. Berges, D. U. Jungnickel and C. Wetterich, hep-ph/9811347. H. Kouno, M. Nakai, A. Hasegawa and M. Nakano, nucl-th/9808058. J. Berges, D. U. Jungnickel and C. Wetterich, Phys. Rev. D59 (1999), 34010. M. Reuter and C. Wetterich, Phys. Rev. D56 (1997), 7893. H. Kodama and J.-I. Sumi, Prog. Theor. Phys. 103 (2000), 393. K. Kubota and H. Terao, Prog. Theor. Phys. 102 (1999), 1163
46. D. U. Jungnickel and C. Wetterich, Lectures given at Workshop on the Exact Renormalization Group, Faro, Portugal, 10-12 Sep 1998, hep-ph/9902316; Confinement, duality, and nonperturbative aspects of QCD (Cambridge, 1997), p. 215. J. Berges, D. U. Jungnickel and C. Wetterich, hep-ph/9811347. H. Kouno, M. Nakai, A. Hasegawa and M. Nakano, nucl-th/9808058. J. Berges, D. U. Jungnickel and C. Wetterich, Phys. Rev. D59 (1999), 34010. M. Reuter and C. Wetterich, Phys. Rev. D56 (1997), 7893. H. Kodama and J.-I. Sumi, Prog. Theor. Phys. 103 (2000), 393. K. Kubota and H. Terao, Prog. Theor. Phys. 102 (1999), 1163
47. D. U. Jungnickel and C. Wetterich, Lectures given at Workshop on the Exact Renormalization Group, Faro, Portugal, 10-12 Sep 1998, hep-ph/9902316; Confinement, duality, and nonperturbative aspects of QCD (Cambridge, 1997), p. 215. J. Berges, D. U. Jungnickel and C. Wetterich, hep-ph/9811347. H. Kouno, M. Nakai, A. Hasegawa and M. Nakano, nucl-th/9808058. J. Berges, D. U. Jungnickel and C. Wetterich, Phys. Rev. D59 (1999), 34010. M. Reuter and C. Wetterich, Phys. Rev. D56 (1997), 7893. H. Kodama and J.-I. Sumi, Prog. Theor. Phys. 103 (2000), 393. K. Kubota and H. Terao, Prog. Theor. Phys. 102 (1999), 1163
48. D. U. Jungnickel and C. Wetterich, Lectures given at Workshop on the Exact Renormalization Group, Faro, Portugal, 10-12 Sep 1998, hep-ph/9902316; Confinement, duality, and nonperturbative aspects of QCD (Cambridge, 1997), p. 215. J. Berges, D. U. Jungnickel and C. Wetterich, hep-ph/9811347. H. Kouno, M. Nakai, A. Hasegawa and M. Nakano, nucl-th/9808058. J. Berges, D. U. Jungnickel and C. Wetterich, Phys. Rev. D59 (1999), 34010. M. Reuter and C. Wetterich, Phys. Rev. D56 (1997), 7893. H. Kodama and J.-I. Sumi, Prog. Theor. Phys. 103 (2000), 393. K. Kubota and H. Terao, Prog. Theor. Phys. 102 (1999), 1163
49. D. U. Jungnickel and C. Wetterich, Lectures given at Workshop on the Exact Renormalization Group, Faro, Portugal, 10-12 Sep 1998, hep-ph/9902316; Confinement, duality, and nonperturbative aspects of QCD (Cambridge, 1997), p. 215. J. Berges, D. U. Jungnickel and C. Wetterich, hep-ph/9811347. H. Kouno, M. Nakai, A. Hasegawa and M. Nakano, nucl-th/9808058. J. Berges, D. U. Jungnickel and C. Wetterich, Phys. Rev. D59 (1999), 34010. M. Reuter and C. Wetterich, Phys. Rev. D56 (1997), 7893. H. Kodama and J.-I. Sumi, Prog. Theor. Phys. 103 (2000), 393. K. Kubota and H. Terao, Prog. Theor. Phys. 102 (1999), 1163
50. D. U. Jungnickel and C. Wetterich, Lectures given at Workshop on the Exact Renormalization Group, Faro, Portugal, 10-12 Sep 1998, hep-ph/9902316; Confinement, duality, and nonperturbative aspects of QCD (Cambridge, 1997), p. 215. J. Berges, D. U. Jungnickel and C. Wetterich, hep-ph/9811347. H. Kouno, M. Nakai, A. Hasegawa and M. Nakano, nucl-th/9808058. J. Berges, D. U. Jungnickel and C. Wetterich, Phys. Rev. D59 (1999), 34010. M. Reuter and C. Wetterich, Phys. Rev. D56 (1997), 7893. H. Kodama and J.-I. Sumi, Prog. Theor. Phys. 103 (2000), 393. K. Kubota and H. Terao, Prog. Theor. Phys. 102 (1999), 1163
51. C. Becchi, hep-th/9607181, 'On the construction of renormalized quantum field theory using renormalization group techniques', in Elementary Particles, Field Theory and Statistical Mechanics, ed. M. Bonini, G. Marchesini and E. Onofri (Parma University, 1993).
52. U. Ellwanger, Phys. Lett. B335 (1994), 364. U. Ellwanger, M. Hirsch and A. Weber, Z. Phys. C69 (1996), 687. M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B418 (1994), 81; B421 (1994), 429; B437 (1995), 163; Phys. Lett. B346 (1995), 87. M. D'Attanasio and T. R. Morris, Phys. Lett. B378 (1996), 213. F. Freire and C. Wetterich, Phys. Lett. B380 (1996), 337.
53. U. Ellwanger, Phys. Lett. B335 (1994), 364. U. Ellwanger, M. Hirsch and A. Weber, Z. Phys. C69 (1996), 687. M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B418 (1994), 81; B421 (1994), 429; B437 (1995), 163; Phys. Lett. B346 (1995), 87. M. D'Attanasio and T. R. Morris, Phys. Lett. B378 (1996), 213. F. Freire and C. Wetterich, Phys. Lett. B380 (1996), 337.
54. U. Ellwanger, Phys. Lett. B335 (1994), 364. U. Ellwanger, M. Hirsch and A. Weber, Z. Phys. C69 (1996), 687. M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B418 (1994), 81; B421 (1994), 429; B437 (1995), 163; Phys. Lett. B346 (1995), 87. M. D'Attanasio and T. R. Morris, Phys. Lett. B378 (1996), 213. F. Freire and C. Wetterich, Phys. Lett. B380 (1996), 337.
55. U. Ellwanger, Phys. Lett. B335 (1994), 364. U. Ellwanger, M. Hirsch and A. Weber, Z. Phys. C69 (1996), 687. M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B418 (1994), 81; B421 (1994), 429; B437 (1995), 163; Phys. Lett. B346 (1995), 87. M. D'Attanasio and T. R. Morris, Phys. Lett. B378 (1996), 213. F. Freire and C. Wetterich, Phys. Lett. B380 (1996), 337.
56. U. Ellwanger, Phys. Lett. B335 (1994), 364. U. Ellwanger, M. Hirsch and A. Weber, Z. Phys. C69 (1996), 687. M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B418 (1994), 81; B421 (1994), 429; B437 (1995), 163; Phys. Lett. B346 (1995), 87. M. D'Attanasio and T. R. Morris, Phys. Lett. B378 (1996), 213. F. Freire and C. Wetterich, Phys. Lett. B380 (1996), 337.
57. U. Ellwanger, Phys. Lett. B335 (1994), 364. U. Ellwanger, M. Hirsch and A. Weber, Z. Phys. C69 (1996), 687. M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B418 (1994), 81; B421 (1994), 429; B437 (1995), 163; Phys. Lett. B346 (1995), 87. M. D'Attanasio and T. R. Morris, Phys. Lett. B378 (1996), 213. F. Freire and C. Wetterich, Phys. Lett. B380 (1996), 337.
58. U. Ellwanger, Phys. Lett. B335 (1994), 364. U. Ellwanger, M. Hirsch and A. Weber, Z. Phys. C69 (1996), 687. M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B418 (1994), 81; B421 (1994), 429; B437 (1995), 163; Phys. Lett. B346 (1995), 87. M. D'Attanasio and T. R. Morris, Phys. Lett. B378 (1996), 213. F. Freire and C. Wetterich, Phys. Lett. B380 (1996), 337.
59. U. Ellwanger, Phys. Lett. B335 (1994), 364. U. Ellwanger, M. Hirsch and A. Weber, Z. Phys. C69 (1996), 687. M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B418 (1994), 81; B421 (1994), 429; B437 (1995), 163; Phys. Lett. B346 (1995), 87. M. D'Attanasio and T. R. Morris, Phys. Lett. B378 (1996), 213. F. Freire and C. Wetterich, Phys. Lett. B380 (1996), 337.
60. T. R. Morris, hep-th/9810104, in Workshop on the Exact Renormalization Group, to be published (World Scientific, 2000); hep-th/9910058.
61. K.-I. Kondo, S. Shuto and K. Yamawaki, Mod. Phys. Lett. A6 (1991), 3385.