Chinese Physics C > 1995, Vol. 19 > Issue(10): 907-910

Regularization of Angular Infrared Divergence of Massless Theory at Finite Temperature

Chen Xiangjun^,,
Liu Lianshou

Institute of Particle Physics, Hua-Zhong Normal University, Wuhan 430070

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Abstract：
The angular infrared divergences of three-loop vacuum graph in the massless scalar field φ ³theory and the scheme of dimensional regularization for these divergences are discussed.Its analytical expression in D-dimensional space is given.

References

[1]

Y.Fujimotom,M.Loewe,J.C.Rojas,Dimensional Regularization at Finite Temperature,to be published inZ.Phys.C.[2] T.Muta,Foundations of Quantum Chromodynamics-an Introduction to Perturbative Methodsin Gauge Theories,World Scientific,1987.[3] 戴元本，相互作用的规范理论，科学出版社，1987.[4] L.Dolan,R.Jackiw,Phys.Rev.,D9（1974）3320.[5] A.J.Niemi,G.W.Semenoff,Nucl.Phys,B236（1984）181.[6] Chen Xiangjun,Y.Fujimoto,Dimensional Regularization and Analytical Continuation at Finte Temperature,Huazhong Normal University Preprint,1994.

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Chen Xiangjun and Liu Lianshou. Regularization of Angular Infrared Divergence of Massless Theory at Finite Temperature[J]. Chinese Physics C, 1995, 19(10): 907-910.

Chen Xiangjun and Liu Lianshou. Regularization of Angular Infrared Divergence of Massless Theory at Finite Temperature[J]. Chinese Physics C, 1995, 19(10): 907-910. shu

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Received: 1900-01-01
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

Regularization of Angular Infrared Divergence of Massless Theory at Finite Temperature

Chen Xiangjun^,
Liu Lianshou

Corresponding author:Chen Xiangjun,

Institute of Particle Physics, Hua-Zhong Normal University, Wuhan 430070

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1995-10-05

Abstract:The angular infrared divergences of three-loop vacuum graph in the massless scalar field φ³theory and the scheme of dimensional regularization for these divergences are discussed.Its analytical expression in D-dimensional space is given.