Renormalizability and nonrenormalizable interactions

YAO Hai-Bo; WU Shi-Shu

doi:10.1088/1674-1137/33/S1/004

Chinese Physics C> 2009, Vol. 33> Issue(S1) : 12-14 DOI: 10.1088/1674-1137/33/S1/004

Renormalizability and nonrenormalizable interactions

YAO Hai-Bo ,
WU Shi-Shu ^,

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Abstract：
Arguments are provided which show that extension of renormalizability in quantum field theory is possible. By an appropriate choice of effective Lagrangian, a dressed Feynman propagator is obtained. In this scheme, higher order Feynman diagrams become self-convergent and nonrenormalizable interactions become renormalizable. As an example, the vacuum fluctuation effects on ρ meson mass for the vector-tensor coupling model is discussed. It is found that the result can agree with the experimental value when coupling constant is adjusted.

References

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. Weinberg S. The Quantum Theory of Fields. vol I. NewYork: Cambridge University Press, 19952. Weinberg S. The Quantum Theory of Fields. vol II. NewYork: Cambridge University Press, 19963. Georgi H. Ann. Rev. Nucl. Part. Sci., 1993, 43: 209-2524. Lolos G J, Huber G M, Papandreou Z et al. Phys. Rev.Lett., 1998, 80: 241-2445. ZHANG Yi-Jun, GAO Song, SU Ru-Keng. Phys. Rev. C,1997, 56: 3336-33456. Shiomi H, Hatsuda T. Phys. Lett. B, 1994, 334: 281-2867. WU Shi-Shu, ZHANG Hai-Xia, YAO Yu-Jie. Nucl. Phys.A, 2001, 694: 489-5108. Brown G E, Machleidt R. Phys. Rev. C, 1994, 50: 1731-17349. WANG Ping, SU Ru-Keng. Chin. Phys. Lett., 1999, 16:793-795

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YAO Hai-Bo and WU Shi-Shu. Renormalizability and nonrenormalizable interactions[J]. Chinese Physics C, 2009, 33(S1): 12-14. doi: 10.1088/1674-1137/33/S1/004

YAO Hai-Bo and WU Shi-Shu. Renormalizability and nonrenormalizable interactions[J]. Chinese Physics C, 2009, 33(S1): 12-14. doi: 10.1088/1674-1137/33/S1/004 shu

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Received: 2008-10-22
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Renormalizability and nonrenormalizable interactions

YAO Hai-Bo
WU Shi-Shu ^,

Corresponding author: WU Shi-Shu,

Received Date: 2008-10-22
Accepted Date: 1900-01-01
Available Online: 2009-01-10

Abstract: Arguments are provided which show that extension of renormalizability in quantum field theory is possible. By an appropriate choice of effective Lagrangian, a dressed Feynman propagator is obtained. In this scheme, higher order Feynman diagrams become self-convergent and nonrenormalizable interactions become renormalizable. As an example, the vacuum fluctuation effects on ρ meson mass for the vector-tensor coupling model is discussed. It is found that the result can agree with the experimental value when coupling constant is adjusted.