Infra-red Renormalization Group Calculation of the O(N) Model in the Broken Phase

Liu Chuan

Chinese Physics C> 1999, Vol. 23> Issue(6) : 594-600

Infra-red Renormalization Group Calculation of the O(N) Model in the Broken Phase

Liu Chuan ^,

Department of Physics, Peking University, Beijing 100871

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Abstract：
The infra-red renormalization properties of the O(N) model is studied to two loops. The calculation is done within a mass dependent renormalization scheme. The mass-dependent one-loop renormalization group coefficients are obtained and the tWo-loop coefficients are calculated in the infnad limit. We observe cancellations within the framework of field theory which make the tWo-loop beta-function coincide with the one-loop beta-function in the infra-red limit.

References

[1]

Gasser J, Leutwyler H. Phys. Lett., 1983, 125B:321,325; Ann. of Phys., 1984, 158:142; Nucl. Phys., 1985,B250: 465 2 Kuti J. Nucl. Phys., 1995, B(Proc. Suppl.) 42: 113 3 Liu C, Jansen K, Kuti J. Nucl. Phys., 1995, B(Proc. Suppl.) 42:6304 Gasser J, Leutwyler H. Nucl. Phys., 1988, B307:7635 Kuti J, Liu C. unpublished.

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Liu Chuan. Infra-red Renormalization Group Calculation of the O(N) Model in the Broken Phase[J]. Chinese Physics C, 1999, 23(6): 594-600.

Liu Chuan. Infra-red Renormalization Group Calculation of the O(N) Model in the Broken Phase[J]. Chinese Physics C, 1999, 23(6): 594-600. shu

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Received: 1999-01-04
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

Infra-red Renormalization Group Calculation of the O(N) Model in the Broken Phase

Liu Chuan ^,

Corresponding author: Liu Chuan,

Department of Physics, Peking University, Beijing 100871

Received Date: 1999-01-04
Accepted Date: 1900-01-01
Available Online: 1999-06-05

Abstract: The infra-red renormalization properties of the O(N) model is studied to two loops. The calculation is done within a mass dependent renormalization scheme. The mass-dependent one-loop renormalization group coefficients are obtained and the tWo-loop coefficients are calculated in the infnad limit. We observe cancellations within the framework of field theory which make the tWo-loop beta-function coincide with the one-loop beta-function in the infra-red limit.