Infrared Divergence in Loop Functions

WAN Ling-De; CAO Jun-Jie

Chinese Physics C> 2003, Vol. 27> Issue(5) : 381-385

Infrared Divergence in Loop Functions

WAN Ling-De ^, ,
CAO Jun-Jie

College of Physics and Information Engineering, Henan Normal University, Xinxiang 453002, China2 Institute of Theoretical Physics, CAS, Beijing 100080, China

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Abstract：
A method to calculate infrared divergence of loop function is introduced. Using this method, we analysis the divergence property of three point loop function and get the criterion to judge whether there exists infrared divergence for three point functions. The explict forms of infrared divergence in some cases are obtained with mass regulation or dimension regulation. Such method can also be applied to four point loop functions.

References

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. G.'t Hooft,Veltman M.Nucl.Phys.,1973,B44:189 2. Denner A.Fortschr.Phys.,1993,41:3073. Bloch F,Nordsheck A.Phys.Rev.,1937,52:54;Kinoshita T J.Math.Phys.,1962,3:650;Lee T D,Naueuberg M.Phys.Rev.,1964,B133:1547 4. Field R D.Applications of Perturbative QCD.Addison-Wesley Publishing Company,Inc.1989 5. G't Hooft,Veltman M.Nucl.Phys.,1979,B153:3656. Marciano W J.Phys.Rev.,1975,D12:3861 7. Basham C L et al.Phys.Rev.,1978,D17:2298;Basham C L et al.Phys.Rev.Lett.,1978,41:1585;Fox G C,Wolfram S.Nucl.Phys.,1979,B149:413 8. Berends F,Gaemers K,Gastmans R.Nucl.Phys.,1972,B57:381;1973,B63:381;1974,B68:541 9. van Nieuwenhuizen P.Nucl.Phys.,1971,B28:429

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WAN Ling-De and CAO Jun-Jie. Infrared Divergence in Loop Functions[J]. Chinese Physics C, 2003, 27(5): 381-385.

WAN Ling-De and CAO Jun-Jie. Infrared Divergence in Loop Functions[J]. Chinese Physics C, 2003, 27(5): 381-385. shu

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Received: 2002-07-11
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

Infrared Divergence in Loop Functions

WAN Ling-De ^,
CAO Jun-Jie

Corresponding author: WAN Ling-De,

College of Physics and Information Engineering, Henan Normal University, Xinxiang 453002, China2 Institute of Theoretical Physics, CAS, Beijing 100080, China

Received Date: 2002-07-11
Accepted Date: 1900-01-01
Available Online: 2003-05-05

Abstract: A method to calculate infrared divergence of loop function is introduced. Using this method, we analysis the divergence property of three point loop function and get the criterion to judge whether there exists infrared divergence for three point functions. The explict forms of infrared divergence in some cases are obtained with mass regulation or dimension regulation. Such method can also be applied to four point loop functions.