Feynman Rules and Generalized Ward Identities in Phase Space Functional Integral

Li Ziping

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> 1996, Vol. 20> Issue(8) : 698-702

Feynman Rules and Generalized Ward Identities in Phase Space Functional Integral

Li Ziping ^,

Department of Applied Physics, Beijing Polytechnic University, Beijing 100022

Abstract
HTML
Reference
Related

PDF

Abstract：
Based on the phase-space generating functional of Green function, the generalizedcanonical Ward identities are derived It is point out that one can deduce Feynmanrules in tree approximation without carring out explicit integration over canonicalmomenta in phase-space generating functional. If one adds a four-dimensionaldivergence term to a Lagrangian of the field, then, the propagator of the field can bechanged.

References

[1]

Li,Z,P,Acta Phys.Sin（Overseas Edition）,3（1994）481[2]Li,Z,P,Europhys.Lett,27（1994）563.[3]李子平，经典和量子约束系统及其对称性质，北京工业大学出版社，1993年。[4]Henneaux,M,Teitelboim,C.,Quantization of Gauge System,Princeton University Press,Princeton,New Jersey,1992.[5]Li,Z.P.,Science in China（Series A）,36（1993）1212.[6]李子平，高能物理与核物理，18（1994）694[7]Galvao,C.A.P,Lemos,N.A,J.Math.Phys.,29（1988）1588.[8]He,B,Li,Z.P,Commun.Theor.Phys,23（1995）371.

[1]	XIAO Jun , CHENG Luan , WANG En-Ke . A Deduced Feynman Rule for Calculating Retarded and Advanced Green Function in Closed Time Path Formalism. Chinese Physics C, 2004, 28(7): 690-695.
[2]	WANG Jing , HUANG Yong-Chang . BRST Transformation Equivalence and Ward Identities of 1+1 Dimensional Non-linear σ Model. Chinese Physics C, 2004, 28(1): 17-21.
[3]	LONG Zheng-Wen , LI Zi-Ping . Canonical Ward Identity and Dynamical Mass Generation in Abelian Gauge Theory. Chinese Physics C, 2004, 28(2): 134-139.
[4]	LI Zi-Ping . Non-local Quantal Noether Identities and Their Applications. Chinese Physics C, 2002, 26(12): 1214-1222.
[5]	LI Zi-Ping . Noether Identities at the Quantum Level. Chinese Physics C, 2002, 26(3): 230-238.
[6]	LI Zi-Ping , LI Rui-Jie . Generalized Ward Identities for Non-local Transformation. Chinese Physics C, 2002, 26(2): 122-128.
[7]	Li Ziping . Global Symmetry in Phase-Space Path Integral for a System With a Singular Lagrangian. Chinese Physics C, 1997, 21(1): 34-43.
[8]	Li Ziping . Generalization of the Noether's Identities and Application. Chinese Physics C, 1995, 19(4): 320-326.
[9]	Li Ziping . Canonical Ward Identities in Generalized QCD. Chinese Physics C, 1995, 19(5): 405-412.
[10]	Li Ziping . Canonical Symmetry in a System with Singular Lagrangian and Ward Identities. Chinese Physics C, 1994, 18(8): 694-701.
[11]	QIU Rong . The Identity and Renormalization of Pure Gauge Fields in Coset Space of Abelian Chiral Group. Chinese Physics C, 1993, 17(3): 227-240.
[12]	SHEN Kun , QIU Zhong-Ping . Chiral Ward-Takahashi Identities at Finite Temperature and Chiral Phase Transition in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(3): 208-214.
[13]	SHEN Kun , QIU Zhong-Ping . Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional SU(2) Four-fermi Model. Chinese Physics C, 1993, 17(1): 17-27.
[14]	SHEN Kun , QIU Zhong-Ping . Chiral Symmetry,Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1992, 16(1): 29-37.
[15]	DONG Shao-Jing . ON THE FEYNMAN RULES AND AXIAL VECTOR ANOMALY OF NORMAL FUZZY LATTICE FERMION. Chinese Physics C, 1989, 13(3): 226-233.
[16]	LI Zi-Ping . THE GENERALIZED NOETHER'S IDENTITIES AND CONSERVED CHARGE. Chinese Physics C, 1988, 12(6): 782-785.
[17]	ZHANG Yue-Zhong . AXIAL VECTOR WARD IDENTITIES AND DIMENSIONAL REGULARIZATION IN RENORMALIZABLE SU(2)_L×U(1)_Y MODEL. Chinese Physics C, 1985, 9(4): 430-436.
[18]	Kuang Yu-ping , Yi Yu-ping . WARD-TAKAHASHI IDENTITIES FOR GAUGE.GHOST FIELD PROPER VERTICES. Chinese Physics C, 1980, 4(3): 286-290.
[19]	WANG RONG . A PROOF OF TWO IDENTITIES CONCERNING THE INTERCHANGE IN THE ORDER OF INTEGRATIONS. Chinese Physics C, 1979, 3(5): 645-650.
[20]	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.

Access

Get Citation

Li Ziping. Feynman Rules and Generalized Ward Identities in Phase Space Functional Integral[J]. Chinese Physics C, 1996, 20(8): 698-702.

Li Ziping. Feynman Rules and Generalized Ward Identities in Phase Space Functional Integral[J]. Chinese Physics C, 1996, 20(8): 698-702. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2914)
PDF Downloads(459)
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, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Feynman Rules and Generalized Ward Identities in Phase Space Functional Integral

Li Ziping ^,

Corresponding author: Li Ziping,

Department of Applied Physics, Beijing Polytechnic University, Beijing 100022

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1996-08-05

Abstract: Based on the phase-space generating functional of Green function, the generalizedcanonical Ward identities are derived It is point out that one can deduce Feynmanrules in tree approximation without carring out explicit integration over canonicalmomenta in phase-space generating functional. If one adds a four-dimensionaldivergence term to a Lagrangian of the field, then, the propagator of the field can bechanged.