On the equivalence of regularization schemes

Communications in Theoretical Physics

Volumn 38, Issue 3, 2002, Pages 317-321

  Yang, Ji Feng ^a  

^a EAST CHINA NORMAL UNIVERSITY   (China)

Author keywords

Nonperturbative context; Regularization scheme

Indexed keywords

EID: 0036026842     PISSN: 02536102     EISSN: None     Source Type: Journal    
DOI: 10.1088/0253-6102/38/3/317     Document Type: Article

References (24)

1. S. Weinberg, Phys. Lett. B91 (1980) 51; L.J. Hall, Nucl. Phys. B178 (1981) 75; B. Ovrut and H. Schnitzer, Nucl. Phys. B179 (1981) 381, ibid. B189 (1981) 509.
2. S. Weinberg, Phys. Lett. B91 (1980) 51; L.J. Hall, Nucl. Phys. B178 (1981) 75; B. Ovrut and H. Schnitzer, Nucl. Phys. B179 (1981) 381, ibid. B189 (1981) 509.
3. S. Weinberg, Phys. Lett. B91 (1980) 51; L.J. Hall, Nucl. Phys. B178 (1981) 75; B. Ovrut and H. Schnitzer, Nucl. Phys. B179 (1981) 381, ibid. B189 (1981) 509.
4. S. Weinberg, Phys. Lett. B91 (1980) 51; L.J. Hall, Nucl. Phys. B178 (1981) 75; B. Ovrut and H. Schnitzer, Nucl. Phys. B179 (1981) 381, ibid. B189 (1981) 509.
5. For recent reviews of applications in nuclear physics, please see, e.g., U. van Kolck, Prog. Part. Nucl. Phys. 43 (1999) 337, (Report No. nucl-th/9902015) and S.R. Beane, et al., Report No. nucl-th/0008064.
6. See, for example, the recent discussion over the use of regularization and renormalization schemes in the EFT treatment of nucleons interation: T.D. Cohen, Phys. Rev. C55 (1997) 67; D.R. Phillips, S.R. Beane, and T.D. Cohen, Ann. Phys. 263 (1998) 255, (Report No. hepth/9706070); S.R. Beane, T.D. Cohen, and D.R. Phillips, Nucl. Phys. A632 (1998) 445; D.B. Kaplan, M. Savage, and M.B. Wise, Phys. Lett. B424 (1998) 390; J.V. Steele and R.J. Furnstahl, Nucl. Phys. A637 (1998) 46; J. Gegelia, Phys. Lett. B429 (1998) 227; D.R. Phillips, S.R. Beane, and M.C. Birse, Report No. nucl-th/9810049.
7. See, for example, the recent discussion over the use of regularization and renormalization schemes in the EFT treatment of nucleons interation: T.D. Cohen, Phys. Rev. C55 (1997) 67; D.R. Phillips, S.R. Beane, and T.D. Cohen, Ann. Phys. 263 (1998) 255, (Report No. hepth/9706070); S.R. Beane, T.D. Cohen, and D.R. Phillips, Nucl. Phys. A632 (1998) 445; D.B. Kaplan, M. Savage, and M.B. Wise, Phys. Lett. B424 (1998) 390; J.V. Steele and R.J. Furnstahl, Nucl. Phys. A637 (1998) 46; J. Gegelia, Phys. Lett. B429 (1998) 227; D.R. Phillips, S.R. Beane, and M.C. Birse, Report No. nucl-th/9810049.
8. See, for example, the recent discussion over the use of regularization and renormalization schemes in the EFT treatment of nucleons interation: T.D. Cohen, Phys. Rev. C55 (1997) 67; D.R. Phillips, S.R. Beane, and T.D. Cohen, Ann. Phys. 263 (1998) 255, (Report No. hepth/9706070); S.R. Beane, T.D. Cohen, and D.R. Phillips, Nucl. Phys. A632 (1998) 445; D.B. Kaplan, M. Savage, and M.B. Wise, Phys. Lett. B424 (1998) 390; J.V. Steele and R.J. Furnstahl, Nucl. Phys. A637 (1998) 46; J. Gegelia, Phys. Lett. B429 (1998) 227; D.R. Phillips, S.R. Beane, and M.C. Birse, Report No. nucl-th/9810049.
9. See, for example, the recent discussion over the use of regularization and renormalization schemes in the EFT treatment of nucleons interation: T.D. Cohen, Phys. Rev. C55 (1997) 67; D.R. Phillips, S.R. Beane, and T.D. Cohen, Ann. Phys. 263 (1998) 255, (Report No. hepth/9706070); S.R. Beane, T.D. Cohen, and D.R. Phillips, Nucl. Phys. A632 (1998) 445; D.B. Kaplan, M. Savage, and M.B. Wise, Phys. Lett. B424 (1998) 390; J.V. Steele and R.J. Furnstahl, Nucl. Phys. A637 (1998) 46; J. Gegelia, Phys. Lett. B429 (1998) 227; D.R. Phillips, S.R. Beane, and M.C. Birse, Report No. nucl-th/9810049.
10. See, for example, the recent discussion over the use of regularization and renormalization schemes in the EFT treatment of nucleons interation: T.D. Cohen, Phys. Rev. C55 (1997) 67; D.R. Phillips, S.R. Beane, and T.D. Cohen, Ann. Phys. 263 (1998) 255, (Report No. hepth/9706070); S.R. Beane, T.D. Cohen, and D.R. Phillips, Nucl. Phys. A632 (1998) 445; D.B. Kaplan, M. Savage, and M.B. Wise, Phys. Lett. B424 (1998) 390; J.V. Steele and R.J. Furnstahl, Nucl. Phys. A637 (1998) 46; J. Gegelia, Phys. Lett. B429 (1998) 227; D.R. Phillips, S.R. Beane, and M.C. Birse, Report No. nucl-th/9810049.
11. See, for example, the recent discussion over the use of regularization and renormalization schemes in the EFT treatment of nucleons interation: T.D. Cohen, Phys. Rev. C55 (1997) 67; D.R. Phillips, S.R. Beane, and T.D. Cohen, Ann. Phys. 263 (1998) 255, (Report No. hepth/9706070); S.R. Beane, T.D. Cohen, and D.R. Phillips, Nucl. Phys. A632 (1998) 445; D.B. Kaplan, M. Savage, and M.B. Wise, Phys. Lett. B424 (1998) 390; J.V. Steele and R.J. Furnstahl, Nucl. Phys. A637 (1998) 46; J. Gegelia, Phys. Lett. B429 (1998) 227; D.R. Phillips, S.R. Beane, and M.C. Birse, Report No. nucl-th/9810049.
12. See, for example, the recent discussion over the use of regularization and renormalization schemes in the EFT treatment of nucleons interation: T.D. Cohen, Phys. Rev. C55 (1997) 67; D.R. Phillips, S.R. Beane, and T.D. Cohen, Ann. Phys. 263 (1998) 255, (Report No. hepth/9706070); S.R. Beane, T.D. Cohen, and D.R. Phillips, Nucl. Phys. A632 (1998) 445; D.B. Kaplan, M. Savage, and M.B. Wise, Phys. Lett. B424 (1998) 390; J.V. Steele and R.J. Furnstahl, Nucl. Phys. A637 (1998) 46; J. Gegelia, Phys. Lett. B429 (1998) 227; D.R. Phillips, S.R. Beane, and M.C. Birse, Report No. nucl-th/9810049.
13. D.R, Phillips, S.R. Beane, and M.C. Birse, Report No. nucl-th/97810049 and references therein.
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16. C. Ford and D.R.T. Jones, Phys. Lett. B274 (1992) 409.
17. See, e.g., M.E. Peskin and D.V. Schroeder, An Introduction to Quantum Field Theory, Addison-Wesley (1995) Chap. 8; S. Weinberg, The Quantum Theory of Fields, Vol. I, Cambridge University Press, Cambridge (1995) Chap. 12. The author is grateful to Prof. J. Polchinski for this information.
18. See, e.g., M.E. Peskin and D.V. Schroeder, An Introduction to Quantum Field Theory, Addison-Wesley (1995) Chap. 8; S. Weinberg, The Quantum Theory of Fields, Vol. I, Cambridge University Press, Cambridge (1995) Chap. 12. The author is grateful to Prof. J. Polchinski for this information.
19. W.E. Caswell and A.D. Kennedy, Phys. Rev. D25 (1982) 392.
20. Ji-Feng YANG, Report No. hep-th/9708104; invited talk in Proceedings of the XIth International Conference on 'Problems of Quantum Field Theory', eds. B.M. Barbashov, G.V. Efimov, and A.V. Efremov, Publishing Department of JINR, Dubna (1999) (hep-th/9901138); hepth/0008037.
21. Ji-Feng YANG, Report No. hep-th/9708104; invited talk in Proceedings of the XIth International Conference on 'Problems of Quantum Field Theory', eds. B.M. Barbashov, G.V. Efimov, and A.V. Efremov, Publishing Department of JINR, Dubna (1999) (hep-th/9901138); hepth/0008037.
22. For a concrete nonperturbative example, see S.Y. LOU and G.J. NI, Phys. Rev. D40 (1989) 3040; G.J. NI, et al., Science in China A41 (1998) 1206; S.S. FENG and G.J. NI, Int. J. Mod. Phys. A14 (1999) 4259.
23. For a concrete nonperturbative example, see S.Y. LOU and G.J. NI, Phys. Rev. D40 (1989) 3040; G.J. NI, et al., Science in China A41 (1998) 1206; S.S. FENG and G.J. NI, Int. J. Mod. Phys. A14 (1999) 4259.
24. For a concrete nonperturbative example, see S.Y. LOU and G.J. NI, Phys. Rev. D40 (1989) 3040; G.J. NI, et al., Science in China A41 (1998) 1206; S.S. FENG and G.J. NI, Int. J. Mod. Phys. A14 (1999) 4259.