A Deduced Feynman Rule for Calculating Retarded and Advanced Green Function in Closed Time Path Formalism

XIAO Jun; CHENG Luan; WANG En-Ke

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2004, Vol. 28> Issue(7) : 690-695

A Deduced Feynman Rule for Calculating Retarded and Advanced Green Function in Closed Time Path Formalism

Institute of Particle Physics,Huazhong Normal University,Wuhan 430079,China

Abstract
HTML
Reference
Related

PDF

Abstract：
Based on the closed time path formalism, a deduced Feynman rule for directly calculating the retarded and advanced Green functions is given. This Feynman rule is used to calculate the two-point self-energy and three-point vertex correction in φ³ theory. The generalized fluctuation-dissipation theorem for three-point nonlinear response function is verified.

References

[1]

. Schwinger J. J. Math. Phys. , 1961, 2: 4072. Keldysh L V. Sov. Phys. JETP, 1965, 20: 10183. Chou K C et al. Phys. Rep. , 1985, 118: 14. WANG E K, Heinz U. Phys. Lett. , 1999, B471: 208; Phys. Rev. ,2003, D67: 0250225. WANG E K, Heinz U, Zhang X F. Phys. Rev. , 1996, D53: 59786. HOU D F, WANG E K, Heinz U. J. Phys. , 1998, G24: 18617. Aarts G, Smit J. Nucl. Phys. , 1998, B 511: 4518. van Eijck M A, Kobes R, van Weert C G. Phys. Rev. , 1994,D50: 40979. Aurenche P, Becherrawy T. Nucl. Phys. , 1992, B379: 25910. ZHANG H Z, WANG E K. High Energy Phys. and Nucl. Phys. ,2002, 26( 5) : 522 11. WANG E K, Heinz U. Phys. Rev. , 2002, D66: 02500812. Lehmann H, Symanzik K, Zimmermann W. Nuovo Cimento, 1957, 6:31913. Callen H B, Welton T A. Phys. Rev. , 1951, 83: 3414. Weldon H A. Phys. Rev. , 1983, D28: 2007

[1]	HUANG Tao . Form Factors for B(B_c)→Dlν in Light-Cone Sum Rules with Chiral Current Correlator. Chinese Physics C, 2007, 31(9): 849-856.
[2]	WU Xing-Hua , ZHOU Ming-Zhen , HUANG Tao . Normalization Constants of the Twist-3 Distribution Amplitudes of the Pion and Kaon From the QCD Sum Rules. Chinese Physics C, 2005, 29(8): 727-730.
[3]	LI Kang , WANG Jian-Hua . Green Function Solution to the Doublet Potential Equations of the Moving Dyons. Chinese Physics C, 2005, 29(8): 731-735.
[4]	MENG Xiang-Wei . Effective Temperature Calculation and Monte Carlo Simulation of Temperature Effect on Muon Flux. Chinese Physics C, 2004, 28(2): 110-115.
[5]	ZHOU Yun-Qing , YANG Fang , LI Jia-Rong . Distribution Functions in QGP Kinetic Equations under Relaxation Time Approximation. Chinese Physics C, 2003, 27(6): 515-520.
[6]	LI Yong-Jun , WANG Lin , FENG Guang-Yao , SUN Bao-Gen , XU Hong-Liang , LI Wei-Min , LIU Zu-Ping . Correction of Closed Orbit and Dispersion Function in the Electron Storage Ring. Chinese Physics C, 2003, 27(8): 722-725.
[7]	HUA Jing , MA Bo-Qiang . Meson Fragmentation Functions in the Field-Feynman Model. Chinese Physics C, 2003, 27(11): 954-959.
[8]	Wang Xin , Li Jiarong . Dimensional Regularization in Imaginary-Time Temperature Field Theory and Thermodynamic Potential of Two-Loop QED. Chinese Physics C, 1997, 21(3): 216-226.
[9]	Guo Hua , Wang Shunjin . Constrained Correlation Dynamics of QED in Canonical Form(Ⅱ)Equal Time Limit and Two-Body Correlation Dynamics. Chinese Physics C, 1996, 20(2): 131-137.
[10]	Guo Hua , Wang Shunjin . Constrained Correlation Dynamics of QED in Canonical Form(Ⅰ) Equations of Motion for Correlation Green's Functions. Chinese Physics C, 1996, 20(1): 48-54.
[11]	Li Ziping . Feynman Rules and Generalized Ward Identities in Phase Space Functional Integral. Chinese Physics C, 1996, 20(8): 698-702.
[12]	Hou Defu , Li Jiarong . Cutting Rules and Imaginary Parts of Thermal Green Functions in Thermofield Dynamics. Chinese Physics C, 1995, 19(10): 891-897.
[13]	Liu Jueping , Jin Yaping . Finite Temperature QCD Sum Rule and the ρ-Meson. Chinese Physics C, 1995, 19(12): 1108-1113.
[14]	Zuo Wei , Guo Hua , Wang Shunjin . Dynamics of Many-Body Correlation Green's Functions Ⅳ. Relativistic Generalization. Chinese Physics C, 1994, 18(7): 616-620.
[15]	WANG Xing-Min . THE FEYNMAN RULES OF COLLECTIVE BAG-QUARK CURRENT AND HADRON TIME-LIKE STRUCTURE FUNCTIONS. Chinese Physics C, 1984, 8(2): 148-157.
[16]	HUANG XIAO-WU . CALCVLATION OF MESON DECAY WIDTH OF BY THE COMPOSITE FIELD THEORY. Chinese Physics C, 1982, 6(4): 409-412.
[17]	RUAN TU-NAN , HE ZUO-XIU , HUANG TAO . ON THE CONJUGATE FIELD QUANTITY AND THE DEFINITION OF THE RELATIVISTIC WAVE FUNCTION IN THE COMPOSITE FIELD THEORY. Chinese Physics C, 1979, 3(3): 272-276.
[18]	ZHOU GUANG-ZHAO , SU ZHAO-BING . ON THE DYSON EQUATION AND THE WARD-TAKAHASHI IDENTITIES OF THE CLOSED TIME PATH GREEN'S FUNCTIONS. Chinese Physics C, 1979, 3(3): 314-326.
[19]	ZHOU GUANG-ZHAO , SU ZHAO-BING . RENORMALIZATION OF THE CLOSED TIME PATH GREEN'S FUNCTIONS IN NON-EQULIBRIUM STATISTICAL FIELD THEORY. Chinese Physics C, 1979, 3(3): 304-313.
[20]	LIU HAN-ZHAO . FINE STRUCTURES OF INCLUSIVE SPECTRA(Ⅰ)——SUM RULES AND THE GENERALIZATION OF FEYNMAN-YANG SCALING. Chinese Physics C, 1979, 3(1): 19-26.

Access

Get Citation

XIAO Jun, CHENG Luan and WANG En-Ke. A Deduced Feynman Rule for Calculating Retarded and Advanced Green Function in Closed Time Path Formalism[J]. Chinese Physics C, 2004, 28(7): 690-695.

XIAO Jun, CHENG Luan and WANG En-Ke. A Deduced Feynman Rule for Calculating Retarded and Advanced Green Function in Closed Time Path Formalism[J]. Chinese Physics C, 2004, 28(7): 690-695. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2003-07-18
Revised: 1900-01-01

Article Metric

Article Views(2708)
PDF Downloads(595)
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

A Deduced Feynman Rule for Calculating Retarded and Advanced Green Function in Closed Time Path Formalism

Corresponding author: WANG En-Ke,

Institute of Particle Physics,Huazhong Normal University,Wuhan 430079,China

Received Date: 2003-07-18
Accepted Date: 1900-01-01
Available Online: 2004-07-05

Abstract: Based on the closed time path formalism, a deduced Feynman rule for directly calculating the retarded and advanced Green functions is given. This Feynman rule is used to calculate the two-point self-energy and three-point vertex correction in φ³ theory. The generalized fluctuation-dissipation theorem for three-point nonlinear response function is verified.