Remark on the subtractive renormalization of the quadratically divergent scalar mass

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 83, Issue 10, 2011, Pages

  Fujikawa, Kazuo ^a  

^a NIHON UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79960820598     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.83.105012     Document Type: Article

References (26)

1. S. Weinberg, The Quantum Theory of Fields I and II (Cambridge University Press, Cambridge, England, 1995).
2. S. Weinberg, Phys. Rev. D PRVDAQ 0556-2821 19, 1277 (1979); 10.1103/PhysRevD.19.1277
3. L. Susskind, Phys. Rev. D PRVDAQ 0556-2821 20, 2619 (1979). 10.1103/PhysRevD.20.2619
4. J. Wess and B. Zumino, Phys. Lett. B 49, 52 (1974); PYLBAJ 0370-2693 10.1016/0370-2693(74)90578-4
5. J. Wess and J. Bagger, Supersymmetry and Supergravity (Princeton University Press, Princeton, NJ, 1992).
6. J. Iliopoulos and B. Zumino, Nucl. Phys. B NUPBBO 0550-3213 76, 310 (1974). 10.1016/0550-3213(74)90388-5
7. K. Fujikawa and W. Lang, Nucl. Phys. B NUPBBO 0550-3213 88, 61 (1975). 10.1016/0550-3213(75)90525-8
8. A. Salam and J. Strathdee, Nucl. Phys. B NUPBBO 0550-3213 76, 477 (1974). 10.1016/0550-3213(74)90537-9
9. Supersymmetry cures quadratic divergence by Bose-Fermi cancellation while the remaining divergence is treated by the conventional renormalization. In this sense, SUSY is regarded as a hybrid version of the idea of Sakata and Pais, who attempted to replace the entire renormalization program by Bose-Fermi cancellation. See, S. Sakata and O. Hara, Prog. Theor. Phys. 2, 30 (1949); PTPKAV 0033-068X 10.1143/PTP.2.30
10. A. Pais, Phys. Rev. 68, 227 (1945). PHRVAO 0031-899X 10.1103/PhysRev.68. 227.2
11. G. 't Hooft and M. Veltman, Nucl. Phys. B NUPBBO 0550-3213 44, 189 (1972); 10.1016/0550-3213(72)90279-9
12. C.G. Bollini and J.J. Giambiagi, Nuovo Cimento B NIFBAP 0369-4100 12, 20 (1972).
13. J. Collins, Phys. Rev. D PRVDAQ 0556-2821 10, 1213 (1974); 10.1103/PhysRevD.10.1213
14. J. Collins Renormalization (Cambridge University Press, Cambridge, England, 1984).
15. W.A. Bardeen, FERMILAB-CONF-95-391-T.
16. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford University Press, New York, 1989), see Chap.. 8 and 9, in particular, Sections 8.9 and 8.10;
17. as for an analysis of massless scalar theory when one sums the loop diagrams to all orders in perturbation theory, see S. Coleman and E. Weinberg, Phys. Rev. D PRVDAQ 0556-2821 7, 1888 (1973). 10.1103/PhysRevD.7.1888
18. G. 't Hooft, Nucl. Phys. B NUPBBO 0550-3213 61, 455 (1973). 10.1016/0550-3213(73)90376-3
19. S. Weinberg, Phys. Rev. D PRVDAQ 0556-2821 8, 3497 (1973). 10.1103/PhysRevD.8.3497
20. C.G. Callan, Phys. Rev. D PRVDAQ 0556-2821 2, 1541 (1970); 10.1103/PhysRevD.2.1541
21. K. Symanzik, Commun. Math. Phys. 18, 227 (1970). CMPHAY 0010-3616 10.1007/BF01649434
22. A. Zee, Phys. Rev. D PRVDAQ 0556-2821 8, 4038 (1973). 10.1103/PhysRevD.8.4038
23. J. Hughes and J. Liu, Nucl. Phys. B NUPBBO 0550-3213 307, 183 (1988). 10.1016/0550-3213(88)90528-7
24. K.G. Wilson and J.G. Kogut, Phys. Rep. PRPLCM 0370-1573 12C, 75 (1974). 10.1016/0370-1573(74)90023-4
25. J. Polchinski, Nucl. Phys. B NUPBBO 0550-3213 231, 269 (1984). 10.1016/0550-3213(84)90287-6
26. H. Sonoda, arXiv:0710.1662v2.