THE CHIRAL ANOMALY OF LINEAR σ MODEL AND SCHWINGER TERMS

RUAN Jie; JING Si-Cong

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> 1990, Vol. 14> Issue(10) : 882-891

THE CHIRAL ANOMALY OF LINEAR σ MODEL AND SCHWINGER TERMS

RUAN Jie ^, ,
JING Si-Cong

Department of Modern Physics,University of Science and Technology of China,Hefei

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper,we calculate anomaly of the left-handed current in the two-dimensional linear σ model by using Bjorken-Johnson-Low limit.We have got the results which are quite consistent with those from non-perturbation functional integration.

References

[1]

Dac Sung Hwang, Nucl. Phys., B286 (1987), 231.[2] Faddeev. L. D. and Shatashvili. S, L., Phys. Lett., 167B (1986), 225[3] 阮图南，井思聪，中国科学，A 12(1987)，1273.[4] J. D. Bjorkea, Phys. Rev., 148(1966), 1467.K. Johnson and F. E. Low, Prog. Theorcs. Phys., (Kyoto) Suppl 37--38 (1966), 74.[5] P, A. M. Dirac, Lectures on Quantum Mechanics, New York, Yeshiva Univ，1964.[6] David Lurie, Particles and Fields, INTERSCIENCE PUBLISHERS a division of John Wiley Sons, New York London Sydney 1968.

[1]	WANG Yong-Long , LI Zi-Ping . Symmetries in the Non-linear Sigma Model with Maxwell-Chern-Simons Term. Chinese Physics C, 2004, 28(7): 696-698.
[2]	SONG Hong-Qiu , ZHANG Li-Liang , SU Ru-Keng , WANG Ping . Strange Hadronic Matter in A Chiral Model. Chinese Physics C, 2000, 24(S1): 95-99.
[3]	Jiang Junqin , Xu Guocai , Chen Qizhou . The Calculation of M_v/m in the Lattice Schwinger Model with Massive Wilson Fermions. Chinese Physics C, 1994, 18(3): 222-228.
[4]	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.
[5]	XU Guocai , JIANG Junqin , CHEN Qizhou . Variational Study of 〈ψψ〉 in the Lattice Schwinger Model with Wilson Fermions. Chinese Physics C, 1993, 17(11): 1011-1015.
[6]	MIAO Yan-Gang . BFV Quantization of the Bosonized Schwinger Model. Chinese Physics C, 1993, 17(5): 407-411.
[7]	HUANG Jing-Yi , CAI Sheng-Shan , HU Si-Zhu , SU Ru-Keng . Chiral Bag Model at Finite Temperature. Chinese Physics C, 1992, 16(6): 494-498.
[8]	CHEN Qi-Zhou , FANG Xi-Yan , XU Guo-Cai , LIU Jin-Ming , LUO Xiang-Qian . Variational Study of. Chinese Physics C, 1991, 15(6): 518-523.
[9]	GAO Xiao-Chun , XU Jing-Bo , YAN Ji-Jin , LI Wen-Zhu . Removability of the Topological Term in the O(3) Nonlinear σ-model. Chinese Physics C, 1991, 15(7): 591-597.
[10]	CHEN Qi-Zhou , ZHENG Wei-Hong , LUO Xiang-Qian , FANG Xi-Yan . Variational Study of <ψψ> in the Lattice Schwinger Model. Chinese Physics C, 1991, 15(1): 23-28.
[11]	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.
[12]	JING Si-Cong , RUAN Jie . BJORKEN-JOHNSON-LOW TECHNIQUE AND PERTURBATION STUDY ON CHIRAL ANOMALY IN ABELIAN COSET PURE GAUGE FIELD THEORY. Chinese Physics C, 1990, 14(11): 991-1000.
[13]	XU Xiao-Ming , QIU Xi-Jun . A CHIRAL QUARK-SOLITON MODEL FOR NUCLEAR FORCE. Chinese Physics C, 1990, 14(9): 810-816.
[14]	Zheng Bo . Exact Ground State of Lattice Schwinger Model. Chinese Physics C, 1989, 13(S3): 259-262.
[15]	GAO Xiao-Chun , WANG Yong , XU Jing-Bo , LI Wen-Zhu . THE STUDY OF TOPOLOGICAL TERMS OF THE NONLINEAR SIGMA MODEL. Chinese Physics C, 1989, 13(6): 526-529.
[16]	ZHENG Bo . THE EXACT GROUND STATE AND STRING TENSION OF MASSIVE LATTICE SCHWINGER MODELS. Chinese Physics C, 1989, 13(10): 956-960.
[17]	ZHENG Bo . EXACT CALCULATION OF STRING TENSIONS OF LATTICE SCHWINGER MODELS. Chinese Physics C, 1989, 13(9): 860-864.
[18]	ZHENG Bo , GUO Shuo-Hong . AN EXACT SOLUTION OF THE NAIVE SCHWINGER MODEL ON LATTICE. Chinese Physics C, 1989, 13(8): 696-700.
[19]	ZHENG Bo . THE EXACT GROUND STATE OF THE LATTICE SCHWINGER MODEL. Chinese Physics C, 1989, 13(8): 760-764.
[20]	ZHOU Guang-Zhao , GUO Han-Ying , LI Xiao-Yuan , WU Ke , SONG Xing-Chang . EFFECTIVE ACTION AND CHIRAL ANOMALIES IN ANY EVEN DIMENSIONAL SPACE. Chinese Physics C, 1985, 9(2): 252-256.

Access

Get Citation

RUAN Jie and JING Si-Cong. THE CHIRAL ANOMALY OF LINEAR σ MODEL AND SCHWINGER TERMS[J]. Chinese Physics C, 1990, 14(10): 882-891.

RUAN Jie and JING Si-Cong. THE CHIRAL ANOMALY OF LINEAR σ MODEL AND SCHWINGER TERMS[J]. Chinese Physics C, 1990, 14(10): 882-891. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2373)
PDF Downloads(433)
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

THE CHIRAL ANOMALY OF LINEAR σ MODEL AND SCHWINGER TERMS

RUAN Jie ^,
JING Si-Cong

Corresponding author: RUAN Jie,

Department of Modern Physics,University of Science and Technology of China,Hefei

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1990-10-05

Abstract: In this paper,we calculate anomaly of the left-handed current in the two-dimensional linear σ model by using Bjorken-Johnson-Low limit.We have got the results which are quite consistent with those from non-perturbation functional integration.