Connection between momentum cutoff and operator cutoff regularizations

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 53, Issue 4, 1996, Pages 2020-2036

  Liao, Sen Ben ^a  

^a DUKE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000438832     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.53.2020     Document Type: Article

References (46)

1. G. ‘t Hooft and M. Veltman, Nucl. Phys. B44, 189 (1971).
2. J. S. Dowker and R. Critchley, Phys. Rev. D 13, 3224 (1976).
3. J. Schwinger, Phys. Rev. 82, 664 (1951).
4. W. Pauli and F. Villars, Rev. Mod. Phys. 21, 434 (1949).
5. K. Wilson and J. Kogut, Phys. Rep. C 12, 75 (1975);
6. L. Kadanoff, Physics 2, 263 (1966).
7. S. B. Liao and J. Polonyi, Ann. Phys. (N.Y.) 222, 122 (1993).
8. A. Ringwald and C. Wetterich, Nucl. Phys. B334, 506 (1990);
9. C. Wetterich, Nucl. Phys. B352, 529 (1990).
10. S. B. Liao, J. Polonyi and D. P. Xu, Phys. Rev. D 51, 748 (1995);
11. S. B. Liao and J. Polonyi, in Proceedings of the International Symposium on Nuclear Structure Physics Today, Chungli, Taiwan, 1993, edited by H. T. Chen, et al. [Nucl. Phys. A570, 203c (1994)].
12. See, for example, S. K. Ma, Modern Theory of Critical Phenomena (Benjamin, Reading, 1976), p. 530.
13. F. J. Wegner and A. Houghton, Phys. Rev. A 8, 401 (1972).
14. M. Reuter and C. Wetterich, Phys. Lett. B 334, 412 (1994);
15. U. Ellwanger and C. Wetterich, Nucl. Phys. B423, 137 (1994).
16. M. Oleszczuk, Z. Phys. C 64, 533 (1994).
17. R. D. Ball, Phys. Rep. 182, 1 (1989).
18. J. Zuk, Int. J. Mod. Phys. A 18, 3549 (1990).
19. S. B. Liao and J. Polonyi, Phys. Rev. D 51, 4474 (1995).
20. S. B. Liao and M. Strickland, Phys. Rev. D 52, 3653 (1995).
21. J. A. Zuk, Nucl. Phys. B280, 125 (1987);
22. J. A. Zuk, Phys. Rev. D 34, 1791 (1986)
23. J. A. Zuk, Phys. Rev. D 32, 2653 (1985);
24. LH. Chan, Phys. Rev. Lett. 55, 1222 (1985);
25. J. Iliopoulos, C. Itzykson and A. Martin, Rev. Mod. Phys. 47, 165 (1975).
26. C. M. Fraser, Z. Phys. C 28, 101 (1985);
27. I. Aitchison and C. Fraser, Phys. Rev. D 32, 2190 (1985).
28. L. C. Andrews, Special Functions of Mathematics for Engineers (McGraw Hill, New York, 1992), p. 88.
29. T. Cheng and L. Li, Gauge Theory of Elementary Particle Physics (Clarendon, Oxford, 1984), p. 50.
30. R. D. Ball, P. E. Haagensen, J. I. Latorre and E. Moreno, Phys. Lett. B 347, 80 (1995).
31. We thank Professor J. Polonyi for discussions on this point.
32. T. R. Morris, Int. J. Mod. Phys. A 9, 2411 (1994);
33. Report No. SHEP 95 21/hep th/9508017 (unpublished);
34. T. R. Morris, Phys. Lett. B 334, 355 (1994)
35. T. R. Morris, Phys. Lett. B 329, 241 (1994).
36. R. I. Nepomechie, Phys. Rev. D 31, 3291 (1985).
37. D. I. D’yakonov, V. Yu. Petrov and A. V. Yung, Sov. J. Nucl. Phys. 39, 150 (1984).
38. M. Bilenky and A. Santamaria, Nucl. Phys. B420, 47 (1994).
39. C. Mukku, Phys. Rev. D 45, 2916 (1992).
40. L. D. Faddeev and A. A. Slavnov, Gauge Fields, 2nd ed. (Benjamin, Reading, 1990).
41. A. Rebhan, Phys. Rev. D 39, 3101 (1989).
42. See, for example, B. S. DeWitt, Phys. Rep. 19, 296 (1975);
43. I. G. Avramidi, Phys. Lett. B 238, 92 (1990);
44. I. G. Avramidi, Nucl. Phys. B355, 712 (1991).
45. S. B. Liao, Chin. J. Phys. 32, 1109 (1994);
46. Proceedings of the Workshop on Quantum Infrared Physics, edited by H. M. Fried and B. Müller (World Scientific, Singapore, 1995), p. 83.