THE CHIRAL ANOMALY OF LINEAR σ MODEL AND SCHWINGER TERMS

RUAN Jie; JING Si-Cong

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]	Fei Li , Zi-qiang Zhang , Gang Chen . R⁴ corrections to holographic Schwinger effect. Chinese Physics C, 2018, 42(12): 123109. doi: 10.1088/1674-1137/42/12/123109
[2]	HUANG Fei , ZHANG Zong-Ye , YU You-Wen . Chiral SU(3) Quark Model Study of Low-energy Nπ Scattering Phase Shifts. Chinese Physics C, 2005, 29(10): 948-953.
[3]	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.
[4]	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.
[5]	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.
[6]	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.
[7]	MIAO Yan-Gang . BFV Quantization of the Bosonized Schwinger Model. Chinese Physics C, 1993, 17(5): 407-411.
[8]	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.
[9]	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.
[10]	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.
[11]	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.
[12]	XU Xiao-Ming , QIU Xi-Jun . A CHIRAL QUARK-SOLITON MODEL FOR NUCLEAR FORCE. Chinese Physics C, 1990, 14(9): 810-816.
[13]	Zheng Bo . Exact Ground State of Lattice Schwinger Model. Chinese Physics C, 1989, 13(S3): 259-262.
[14]	LU Gong-Ru , ZHANG Xin-Min , WAN Ling-De . RESTRAINTS FROM GUT ON CHIRAL THREEPREON MODEL. Chinese Physics C, 1989, 13(3): 213-218.
[15]	ZHENG Bo . THE EXACT GROUND STATE AND STRING TENSION OF MASSIVE LATTICE SCHWINGER MODELS. Chinese Physics C, 1989, 13(10): 956-960.
[16]	ZHENG Bo , GUO Shuo-Hong . AN EXACT SOLUTION OF THE NAIVE SCHWINGER MODEL ON LATTICE. Chinese Physics C, 1989, 13(8): 696-700.
[17]	ZHENG Bo . EXACT CALCULATION OF STRING TENSIONS OF LATTICE SCHWINGER MODELS. Chinese Physics C, 1989, 13(9): 860-864.
[18]	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.
[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(2414)
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.