Extension of the Linear Self-Dual Constraint Theory and Its Quantization

MIAO Yan-Gang

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> 1993, Vol. 17> Issue(7) : 626-630

Extension of the Linear Self-Dual Constraint Theory and Its Quantization

MIAO Yan-Gang ^,

Department of Physics,Lanzhou University,Lanzhou 730000

Abstract
HTML
Reference
Related

PDF

Abstract：
We extend the self-dual field theory with a linear self-dual constraint to include an arbitrary potential of the Lagrange multiplier field.We show that this theory coincides with the Floreanini-Jackiw's formalism only for a quadratic potential,and the free scalar field theory for the potentials of the Lagrange multiplier to finite and positive power.

References

[1]

D. J. Gross et al. Phys. Rev.lett. ,54(1985),502.[2]X. G. Wen.Phys. Rev. Lett. ,64(1990),2206;Phys.Rev. B41(1990) ,1238.[3]W. Siegel , Nucl. Phys. , B238 (1984 ) , 307.[4]R. Floreanini and R. Jackiw,Phys. Rev. Lett. ,59(1987),1873;M. E. V. Costa and H. O. Girotti,Phys. Rev.lett.，60(1988).1771.[5]M. Bernstein and J. Sonnenschein,Phys.Rev.Lett. ,60(1988),1772.[6]P. P.Srivastava, Phys.Rev.lett. ,63(1989),2791.[7]K. Harada ,Phys. Rev. Lett. , 65(1990) , 267.[8]Y. -G. Miao, Commun. Theor. Phys. ,19(1993) ,125.[9]R. Link , Fortschr. Phys. ,39(1991) , 393.[10]W. T. Kim,J. K. Kim and Y. J. Park,Phys. Rev. ,D44(1991),563.[11]P. A. M. Dirac,Lectures on Quantum Mechanics, Belfer Graduate School of Science,Yeshiva Univ. Press,1964.

[1]	MO Xiao-Hu . Further Corroboration of Equivalence of Two χ² Forms. Chinese Physics C, 2006, 30(2): 140-146.
[2]	LIAO Ling , HUANG Yong-Chang . Faddeev-Jackiw Quantization of the Gauge Invariant Self-Dual Fields Relative to String Theory. Chinese Physics C, 2006, 30(3): 191-195.
[3]	Wu Chongshi . An Improved Schematic Pairing Force. Chinese Physics C, 1997, 21(1): 62-66.
[4]	Wang Shunjin , Guo Hua . Constrained Correlation Dynamics of SU(N) Gauge Theories in Canonical Form (Ⅱ) Gauge Constrained Conditions. Chinese Physics C, 1995, 19(4): 332-339.
[5]	Wang Renchuan , Zhu Dongpei . On the Quantization of Interacting Fields in QED. Chinese Physics C, 1994, 18(11): 1012-1019.
[6]	Guo Shuohong , Fang Xiyan . Quantization of Lattice Chern-Simons Theory. Chinese Physics C, 1994, 18(8): 706-714.
[7]	Miao Yangang , Liu Yaoyang . Faddeev-Jackiw Quantitation of a Theory of Self-Dual Fields Interacting with Gauge Fields. Chinese Physics C, 1994, 18(1): 58-61.
[8]	HOU Bo-Yu , YANG Huan-Xiong . The Hamiltonian Formalism and Quantizations of (Generalized) BFOFW Model. Chinese Physics C, 1993, 17(6): 524-533.
[9]	MIAO Yan-Gang . BFV Quantization of the Bosonized Schwinger Model. Chinese Physics C, 1993, 17(5): 407-411.
[10]	MIAO Yan-Gang . Path Integral Light-Cone Quantization of a Gauge Theory of Self-Dual Fields. Chinese Physics C, 1992, 16(7): 596-599.
[11]	YU Yue , GUO Han-Ying . ON GEOMETRIC QUANTIZATION FOR BOSONIC STRING (Ⅱ). Chinese Physics C, 1989, 13(6): 503-511.
[12]	YU Yue , GUO Han-Ying . ON GEOMETRIC QUANTIZATION FOR THE BOSONIC STRINGS(1). Chinese Physics C, 1989, 13(5): 419-428.
[13]	YU Yue . SYMPLECTIC STRUCTURES AND QUANTIZATION FOR BOSONIC STRINGS IN BRST FORMALISM. Chinese Physics C, 1989, 13(1): 92-96.
[14]	CHEN Ren . STOCHASTIC QUANTIZATION WITH SPIN 3/2 FIELD. Chinese Physics C, 1987, 11(2): 157-163.
[15]	BAO Cheng-Guang , WANG Ru-Lin , PAN Ji-Zhi . REGROUPING CYCLE STRUCTURE IN THE ANTISYMMETRIZER AND A THEORY OF BOSON MAPPING. Chinese Physics C, 1987, 11(4): 483-490.
[16]	LONG Ming , HUANG Tao . A POSSIBLE FORM OF THE PION'S STRUCTURE FUNCTION. Chinese Physics C, 1986, 10(5): 562-569.
[17]	Wu Jing-yuan . QUANTIZATION OF THE PHOTON FIELD AND DIPOLE GHOSTS. Chinese Physics C, 1980, 4(3): 291-301.
[18]	YAN MU-LIN , BAO XI-MING , ZHAO BAO-HENG . CANONICAL QUANTIZATION OF GAUGE FIELDS (Ⅲ)——GRAVITATIONAL FIELD. Chinese Physics C, 1979, 3(5): 582-594.
[19]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS (I)——THE YANG-MILLS FIELD. Chinese Physics C, 1978, 2(6): 501-510.
[20]	GU CHAO-HAO . THE U₁ GAUGE FIELD IN A SU_N GAUGE FIELD AND THE QUANTIZED VALUES OF DUAL CHARGES. Chinese Physics C, 1978, 2(4): 295-304.

Access

Get Citation

MIAO Yan-Gang. Extension of the Linear Self-Dual Constraint Theory and Its Quantization[J]. Chinese Physics C, 1993, 17(7): 626-630.

MIAO Yan-Gang. Extension of the Linear Self-Dual Constraint Theory and Its Quantization[J]. Chinese Physics C, 1993, 17(7): 626-630. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2386)
PDF Downloads(487)
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

Extension of the Linear Self-Dual Constraint Theory and Its Quantization

MIAO Yan-Gang ^,

Corresponding author: MIAO Yan-Gang,

Department of Physics,Lanzhou University,Lanzhou 730000

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-07-05

Abstract: We extend the self-dual field theory with a linear self-dual constraint to include an arbitrary potential of the Lagrange multiplier field.We show that this theory coincides with the Floreanini-Jackiw's formalism only for a quadratic potential,and the free scalar field theory for the potentials of the Lagrange multiplier to finite and positive power.