On analytic formulas of Feynman propagators in position space

ZHANG Hong-Hao; FENG Kai-Xi; QIU Si-Wei; ZHAO An; LI Xue-Song

doi:10.1088/1674-1137/34/10/005

Chinese Physics C> 2010, Vol. 34> Issue(10) : 1576-1582 DOI: 10.1088/1674-1137/34/10/005

On analytic formulas of Feynman propagators in position space

Abstract
HTML
Reference
Related

PDF

Abstract：
We correct an inaccurate result of previous work on the Feynman propagator in position space of a free Dirac field in (3+1)-dimensional spacetime; we derive the generalized analytic formulas of both the scalar Feynman propagator and the spinor Feynman propagator in position space in arbitrary (D+1)-dimensional spacetime; and we further find a recurrence relation among the spinor Feynman propagator in (D+1)-dimensional spacetime and the scalar Feynman propagators in (D+1)-, (D-1)- and (D+3)-dimensional spacetimes.

References

[1]

Zee A.Quantum Field Theory in a Nutshell.New Jersey:Princeton University Press,2003[2] Greiner W,Reinhardt J.Quantum Electrodynamics.Berlin:Springer,1992[3] Dewitt B S.Dynamical Theory of Groups and Fields.New York:Gordon Breach,1965[4] Peskin M E,Schroeder D V.An Introduction To Quantum Field Theory.New York:Addison-Wesley,1995[5] HUANG K.Quantum Field Theory:From Operators to Path Integrals.New Jersey:Wiley,1998[6] Bekenstein J D,Parker L,Phys.Rev.D,1981,23:2850[7] Mckay D W,Munczek H J.Phys.Rev.D,1997,55:2455.[8] Antonsen F,Bormann K.arXiv:hep-th/9608141[9] Di Sessa A.Phys.Rev.D,1974,9:2926[10] Gutzwiller M.Phys.Stat.Sol.B,2003,237:39[11] Birrell N D,Davies P C W.Quantum Fields In Curved Space.United Kingdom:Cambridge University Press,1982[12] Gradshteyn I S,Ryzhik I M.Tables of Integrals,Series,and Products.Trans.and ed.by Alan Jeffrey.Orlando,Florida:Academic Press,1980

[1]	V. Dehghani , S. A. Alavi . Empirical formulas for proton decay half-lives: Role of nuclear deformation and Q-value. Chinese Physics C, 2018, 42(10): 104101. doi: 10.1088/1674-1137/42/10/104101
[2]	B. Sazdovi? . T-duality as permutation of coordinates in double space. Chinese Physics C, 2017, 41(5): 053101. doi: 10.1088/1674-1137/41/5/053101
[3]	H. S. Vieira . Analytic solutions in the acoustic black hole analogue of the conical Kerr metric. Chinese Physics C, 2017, 41(4): 043105. doi: 10.1088/1674-1137/41/4/043105
[4]	Yong Zhang , Jun-Xia Wu , Guang-Yu Zhu , Huan Jia , Zong-Heng Xue , Hai Zheng , Hong-Ming Xie , Xin-Cai Kang , Yuan He , Lin Li , Jean Claude Denard . Capacitive beam position monitors for the low-β beam of the Chinese ADS proton linac. Chinese Physics C, 2016, 40(2): 027003. doi: 10.1088/1674-1137/40/2/027003
[5]	Zhao Li , Jian Wang , Qi-Shu Yan , Xiaoran Zhao . Efficient numerical evaluation of Feynman integrals. Chinese Physics C, 2016, 40(3): 033103. doi: 10.1088/1674-1137/40/3/033103
[6]	WANG Hai-Peng , YUN Ming-Kai , LIU Shuang-Quan , FAN Xin , CAO Xue-Xiang , CHAI Pei , SHAN Bao-Ci . A region segmentation based algorithm for building a crystal position lookup table in a scintillation detector. Chinese Physics C, 2015, 39(3): 038201. doi: 10.1088/1674-1137/39/3/038201
[7]	ZHU Hong-Yan , DONG Lan , LI Bo . Design and simulation of a wire position monitor for cryogenicsystems in an ADS linac. Chinese Physics C, 2014, 38(8): 087001. doi: 10.1088/1674-1137/38/8/087001
[8]	KE Zun-Jian , LI Jia-Cai , ZHANG Shao-Ping , AN Guang-Peng , TANG Xing-Hua , YANG Tao . A plastic scintillating fiber position detector in vacuum for the test beam facility at BEPCⅡ-LINAC. Chinese Physics C, 2012, 36(1): 67-70. doi: 10.1088/1674-1137/36/1/011
[9]	FU Zai-Wei , JIA Ru , HENG Yue-Kun , QI Ming , HUANG Chang-Hao , LIU Shu-Lin , QIAN Sen , LI Shao-Li , CHEN Xiao-Hui , LIU Shu-Dong , LEI Xiang-Cui , HUANG Guo-Rui . A position-sensitive detector with lithium glass and MaPMT. Chinese Physics C, 2012, 36(11): 1095-1100. doi: 10.1088/1674-1137/36/11/010
[10]	TIAN Li-Chao , TANG Bin , WANG Xiao-Hu , LIU Rong-Guang , ZHANG Jian , CHEN Yuan-Bo , SUN Zhi-Jia , XU Hong , YANG Gui-An , ZHANG Qiang . Developments of a 2D position sensitiveneutron detector. Chinese Physics C, 2012, 36(6): 525-530 . doi: 10.1088/1674-1137/36/6/008
[11]	MA Kai , WANG Jian-Hua , YUAN Yi . Wigner function for the Dirac oscillator in spinor space. Chinese Physics C, 2011, 35(1): 11-15. doi: 10.1088/1674-1137/35/1/003
[12]	YAN Qiu-Rong , ZHAO Bao-Sheng , LIU Yong-An , YANG Hao , SHENG Li-Zhi , WEI Yong-Lin . Two-dimensional photon counting imaging detector based on a Vernier position sensitive anode readout. Chinese Physics C, 2011, 35(4): 368-373. doi: 10.1088/1674-1137/35/4/009
[13]	LI Xiang , ZHENG Shu-Xin . Design and experiments for the waveguide to coaxial cable adapter of a cavity beam position monitor. Chinese Physics C, 2011, 35(1): 79-82. doi: 10.1088/1674-1137/35/1/016
[14]	DUAN Chun-Gui , LIU Na , MIAO Wen-Dan . The dependence of J/ψ-nucleon inelastic cross section on the Feynman variable. Chinese Physics C, 2011, 35(9): 804-807. doi: 10.1088/1674-1137/35/9/002
[15]	CHU Jian-Hua , TONG De-Chun , ZHAO Zhen-Tang . RF measurements of a C-band cavity beam position monitor. Chinese Physics C, 2008, 32(5): 385-388. doi: 10.1088/1674-1137/32/5/012
[16]	WU Xi , LEI Yi-An . Comparison between formulas of rotational band for axially symmetric deformed nuclei. Chinese Physics C, 2008, 32(2): 112-119. doi: 10.1088/1674-1137/32/2/008
[17]	Li Ziping . Feynman Rules and Generalized Ward Identities in Phase Space Functional Integral. Chinese Physics C, 1996, 20(8): 698-702.
[18]	Yu Qingchang . Electron Clouds in Axial Symmetrical Space-Charge Lenses. Chinese Physics C, 1989, 13(S2): 143-148.
[19]	Dong Shaojing . The Feynman Rules and Axial Vector Current Anomaly on the Normal Fuzzy Lattice. Chinese Physics C, 1989, 13(S1): 23-32.
[20]	DONG Shao-Jing . ON THE FEYNMAN RULES AND AXIAL VECTOR ANOMALY OF NORMAL FUZZY LATTICE FERMION. Chinese Physics C, 1989, 13(3): 226-233.

Access

Get Citation

ZHANG Hong-Hao, FENG Kai-Xi, QIU Si-Wei, ZHAO An and LI Xue-Song. On analytic formulas of Feynman propagators in position space[J]. Chinese Physics C, 2010, 34(10): 1576-1582. doi: 10.1088/1674-1137/34/10/005

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2009-11-20
Revised: 2010-01-21

Article Metric

Article Views(2784)
PDF Downloads(580)
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

On analytic formulas of Feynman propagators in position space

Corresponding author: ZHANG Hong-Hao,

Received Date: 2009-11-20

Accepted Date: 2010-01-21

Available Online: 2010-10-05

Abstract:

We correct an inaccurate result of previous work on the Feynman propagator in position space of a free Dirac field in (3+1)-dimensional spacetime; we derive the generalized analytic formulas of both the scalar Feynman propagator and the spinor Feynman propagator in position space in arbitrary (D+1)-dimensional spacetime; and we further find a recurrence relation among the spinor Feynman propagator in (D+1)-dimensional spacetime and the scalar Feynman propagators in (D+1)-, (D-1)- and (D+3)-dimensional spacetimes.

HTML

Reference (1)

On analytic formulas of Feynman propagators in position space

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article