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

Abstract
HTML
Reference
Related

PDF

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

[1]

. 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

[1]	JIN Xiao,LI Ming,XU Zhou,LI Wei-Hua,YANG Xing-Fan,CHEN Tian-Cai,XU Yong,YU Hong,WANG Yuan,SHEN Xu-Ming,CHENG Yun,XIE Min,LU He-Ping,DENG De-Rong,,,. Experiment research of CAEP FIR-FEL. Chinese Physics C, 2006, 30(S1): 96-98.
[2]	DU Dong-Sheng. Infrared Divergence and Twist-3 Wave Functions in QCD Factorization for B→PP Decays. Chinese Physics C, 2002, 26(S1): 11-15.
[3]	TIAN WenDong,WANG Qi,LI SongLin,HU PengYun,LUO YiXiao. Application of Correlation Function in the Fluctuation of Excitation Function in Dissipative Nuclear Reaction. Chinese Physics C, 2000, 24(2): 113-118.
[4]	SHAO ChangGui,XIAO JunHua,SHAO Liang,PAN GuiJun,CHEN ZhongQiu. Action of the Diffeomorphism Constraint in the Extended Loop Representation of Quantum Gravity. Chinese Physics C, 2000, 24(5): 390-399.
[5]	Chen Xiangjun,Zhang Weining,Wang Wei. Infrared Divergences of Three-loop Vacuum Graghs of Quark Field at Hight Temperature. Chinese Physics C, 1999, 23(3): 260-267.
[6]	Cao Yigang,Jiao Zhengkuan,Lu Gongru. One-Loop Corrections to the Top-Quark Decay From PGBs in the MWTCM. Chinese Physics C, 1998, 22(12): 1128-1135.
[7]	Chen Xiangjun,Liu Lianshou. Infrared Divergences of Three-Loop Vacuum Graghs of Gluon Field at Finite Temperature. Chinese Physics C, 1998, 22(2): 133-140.
[8]	Chen Xiangjun,Liu Lianshou. Regularization of Infrared Divergences in the Vacuum Graphs of Massless Field at Finite Temperature. Chinese Physics C, 1997, 21(5): 425-432.
[9]	Zheng Taiyu,Li Changsong. Internal Massive Fermion Loop Contribution to Casimir Force in Two-Dimensions. Chinese Physics C, 1996, 20(3): 211-215.
[10]	Hou Defu,Li Jiarong. Finite-Temperature Thermodynamic Potential of Two-Loop QED and Overlapping Divergences at Arbitrary Gauge. Chinese Physics C, 1995, 19(11): 998-1004.
[11]	Hou Defu,Li Jiarong. Cutting Rules and Imaginary Parts of Thermal Green Functions in Thermofield Dynamics. Chinese Physics C, 1995, 19(10): 891-897.
[12]	Chen Xiangjun,Liu Lianshou. Regularization of Angular Infrared Divergence of Massless Theory at Finite Temperature. Chinese Physics C, 1995, 19(10): 907-910.
[13]	Chen Qizhou,Li Zhibing,Li Lei,Guo Shuohong. Infrared Vacuum Wavefunction of (2+1)-Dimensional SU(2) Gauge Field. Chinese Physics C, 1994, 18(1): 37-42.
[14]	LI Chong-Sheng,HU Bing-Quan,FANG Zhen-Yun. W-Boson Electric Dipole Moment Generated at the Two-Loop Level. Chinese Physics C, 1992, 16(2): 113-117.
[15]	PENG Hong-An. Investigations of Infrared Divergence in Quantum Field Theory from Unitarities and Analyticities. Chinese Physics C, 1992, 16(10): 891-899.
[16]	BAI Zhi-Ming,JIANG Yuan-Fang. The One Loop Calculation of the Strong coupling β Function in the Toy Model. Chinese Physics C, 1991, 15(3): 213-219.
[17]	ZHENG Tai-Yu. INTERNAL FERMION ONE-LOOP CONTRIBUTION TO THE CASIMIR FORCE. Chinese Physics C, 1990, 14(9): 796-801.
[18]	LIU Liang-Gang. ONE LOOP RENORMALIZATION OF NUCLEON ENERGY DENSITY IN NUCLEAR MATTER BY CHIRAL σ MODEL. Chinese Physics C, 1990, 14(9): 822-828.
[19]	XU Jian-Ming,LIU Shi-Yao. A PROPOSAL FOR THE MEASUREMENT OF THE REAL EMITTANCE OF THE BEAM IN CYCLIC ACCELERATORS. Chinese Physics C, 1983, 7(2): 178-185.
[20]	ZHOU BANG-RONG. THE HEAVY QUARK PQTENTIAL TO TWO-LOOP ORDER. Chinese Physics C, 1982, 6(4): 421-427.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2002-07-11
Revised: 1900-01-01

Article Metric

Article Views(4574)
PDF Downloads(600)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者:陈斌, bchen63@163.com

1.
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.