Spontaneous symmetry Breakdown and an Integral Expression of the Effective Potential in Quantum Electrodynamics

LI Fu-Bin

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> 1992, Vol. 16> Issue(3) : 212-218

Spontaneous symmetry Breakdown and an Integral Expression of the Effective Potential in Quantum Electrodynamics

LI Fu-Bin ^,

The Mathematical-Mechanical Department,China University of Mining Technology,Xuzhou 221008

Abstract
HTML
Reference
Related

PDF

Abstract：
The functional formalism for the effective potential is briefly reviewed for the case of a scalar field theory by using the method of steepest descents.This formalism is then applied to quantum electrodynamics and an integral expression is derived for the effective potential in the one-loop approximation.This expression is used to verify the absence of spontaneous symmetry breakdown for quantum electrodynamics in one space and one time dimension.

References

[1]

J. Iliopoulus, C. Itzykson, and A. Martin, Phys. Rev., 47, 1(1975), 346.[2] E. S. Abers and B. W. Lee, Phys, Rep., 9, 1(1973), 411.[3] S. Colemon.Proc. Summer School on Theoretical Physics, Erice 1973, ed. A. Zichichi,New York, Ac-ademic.[4] F. A. Berezin, The Method of Second Quantization, New York, Academic, (1966), Chap. 1,3.[5] J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics, New York, McGraw-Hill,(1964) Chap. 7

[1]	LIANG Xiao-Feng , CHEN Huan , CHANG Lei , LIU Yu-Xin . Dynamical Chiral Symmetry Breaking and Phase Transition of Cuprate Superconductors in QED₃. Chinese Physics C, 2007, 31(2): 209-218.
[2]	CHEN Yong-Shou , GAO Zao-Chun . Spontaneously Broken Rotational Symmetry in Nuclear Structure: Some New Theoretical Aspects. Chinese Physics C, 2006, 30(S2): 14-19.
[3]	JIANG Yun-Guo , HUANG Yong-Chang . Faddeev-Senjanovic Quantization of the Supersymmetrical Electrodynamic System. Chinese Physics C, 2006, 30(12): 1151-1155.
[4]	WU Jian-Feng , XUE Xun . Lorentz-Violating Electrodynamics Model. Chinese Physics C, 2006, 30(10): 950-955.
[5]	LI Rui-Jie , LI Zi-Ping . Quantal Canonical Symmetries in Spinor QED with Chern-Simons Term. Chinese Physics C, 2002, 26(4): 325-330.
[6]	WANG Shu-Zhong , HUANG Yong-Chang . SU(2)_L×SU(2)_R×U(1) σ-Model with Both Dynamical Breaking andVacuum Spontaneous Symmetry Breaking. Chinese Physics C, 2001, 25(12): 1152-1157.
[7]	Jiang Jinhuan , Li Ziping . Quantization of a Scalar QED With Chern-Simons Term in the Batalin-Fradkin-Vilkovisky Scheme. Chinese Physics C, 1999, 23(8): 784-789.
[8]	FU Deji , YANG Yatian , WANG Wenge , XU Gongou . Topological Approach to the Study of Dynamical Symmetry Breaking in IBM System. Chinese Physics C, 1993, 17(11): 1032-1039.
[9]	WANG En-Ke , LI Jia-Rong . The Equation of State and Phase Structure in A Model with Dynamical Spontaneous Symmetry Breaking at Finite Temperature and Density. Chinese Physics C, 1992, 16(4): 344-351.
[10]	PAN Feng , CAO Yu-Fang , PAN Zhen-Yong . An Investigation of G Pair Included Fermion Dynamical Symmetry Model for Medium and Heavy Mass Nuclei. Chinese Physics C, 1991, 15(7): 647-654.
[11]	LUO Yu-Bing , HU Shi-Ke . THE SYMMETRY BREAKING OF THE SUPERSTRING-INSPIRED MODEL. Chinese Physics C, 1990, 14(2): 118-125.
[12]	LI Guang-Hua , HE Hui-Yong . THE U(90) DYNAMICAL SYMMETRY IN LIGHT NUCLEI. Chinese Physics C, 1990, 14(2): 164-170.
[13]	SUN Hong-Zhou , WANG Wei-Wei , ZHAO En-Guang , CHEN Sheng-Zhong . DYNAMICAL SUPERSYMMETRY U(36/24) IN LIGHT NUCLEI. Chinese Physics C, 1989, 13(3): 282-284.
[14]	LUO Xiang-Qian , CHEN Qi-Zhou , GUO Shuo-Hong . VACUUM OF 2+1 DIMENSIONAL SU(2) LGT WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING. Chinese Physics C, 1989, 13(4): 328-333.
[15]	SHEN Kun , QIU Zhong-Ping . THE CHIRAL SU(2)_L SU(2)_R σ-MODEL WITH MASSIVE π MESONS. Chinese Physics C, 1989, 13(8): 755-759.
[16]	PAN Feng , CAO Yu-Fang , PAN Zhen-Yong . U^(B)(6)×U^(v)(12)×U^(π)(4) DYNAMICAL SYMMETRY IN ODD-ODD NUCLEI. Chinese Physics C, 1988, 12(3): 404-413.
[17]	LV Xiao-Fu , HU Shi-Ke . FRAGMENTATIONAL FUNCTION IN PION INCLUSIVE PROCESSES WITH DYNAMICAL SPONTANEOUS BREAKING. Chinese Physics C, 1988, 12(3): 307-314.
[18]	ZHU Chao-Yuan , HU Shi-Ke . EFFECTIVE-POTENTIAL STUDY OF DYNAMICAL CHIRAL SYMMETRY BREAKING IN QUANTUM CHROMODYNAMICS. Chinese Physics C, 1987, 11(4): 451-461.
[19]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS(Ⅱ)——SPONTANEOUSLY BROKEN GAUGE FIELDS. Chinese Physics C, 1979, 3(1): 52-59.
[20]	KUANG YU-PING , YI YU-PING . DYNAMICAL SYMMETRY BREAKINGS IN QUANTUM CHROMODYNAMICS. Chinese Physics C, 1978, 2(6): 488-500.

Access

Get Citation

LI Fu-Bin. Spontaneous symmetry Breakdown and an Integral Expression of the Effective Potential in Quantum Electrodynamics[J]. Chinese Physics C, 1992, 16(3): 212-218.

LI Fu-Bin. Spontaneous symmetry Breakdown and an Integral Expression of the Effective Potential in Quantum Electrodynamics[J]. Chinese Physics C, 1992, 16(3): 212-218. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3548)
PDF Downloads(485)
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

Spontaneous symmetry Breakdown and an Integral Expression of the Effective Potential in Quantum Electrodynamics

LI Fu-Bin ^,

Corresponding author: LI Fu-Bin,

The Mathematical-Mechanical Department,China University of Mining Technology,Xuzhou 221008

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-03-05

Abstract: The functional formalism for the effective potential is briefly reviewed for the case of a scalar field theory by using the method of steepest descents.This formalism is then applied to quantum electrodynamics and an integral expression is derived for the effective potential in the one-loop approximation.This expression is used to verify the absence of spontaneous symmetry breakdown for quantum electrodynamics in one space and one time dimension.