Impact factor of Chinese Physics C is 3.6 in 2023 Impact factor of Chinese Physics C is 3.6 in 2022 2021 Impact Factor 2.944
Advanced Search
Chinese Physics C> 2000, Vol. 24> Issue(2) : 106-112 

Global Symmetry and Quantal Conservation Laws for a Gauge-Invariant System With a Higher-Order Lagrangian

  •  Department of Physics-Electronics, Guizhou University, Guiyang 550025, China2 Department of Applied Physics,Beijing Polytechnic University, Beijing 100022,China

  • Based on the configuration-space generating functional obtained by using the Faddeev-Popov trick for a gauge-invariant system and phase- space generating functional obtained by using the Faddeev-Senjanovic method for a constrained Hamiltonian system with a singular higher order Lagrangian respectively, the conservation laws at the quantum level were derived. A preliminary application of the present formulation to the higher-order Maxwell non-Abelian Chern-Sinons(CS) theory is given,the quantal BRS conserved charge and quantal angular momentum for higher-order Maxwell non-Abelian CS term coupled to scalar fields were obtained. The results arising from configuration space generating functional coincide with the result deriving from phase-space generating functional,and the quantal conserved angular momentum differ from the classical one in that one needs to take into account the contribution of the the angular momentum of ghost fields in Maxwell non-Abelian CS theories. The fractional spin property for CS theories is discussed.
  • 加载中

  • References

    [1] . LIZiPing .Europhys Lett.,1993,21:141—146 2. LIZiPing .Science in China ,Series A ,1993,36:1212— 1221. (李子平.中国科学,A辑,1993,36:1212—1221) 3. LIZiPing J.Phys.Math.Gen.,1991,A24 :4261—4274 4. Felipe R Gonzalez.Phys.Lett.1998,B417:114—118.5. PrangeR E ,Girvin S M .The Quantum Hall Effect.Berlin :Springer–Verlag ,19906. LI ZiPing ,Classical and Quantal Dynamics of Constrained Systems and Their Symmetry Properties.Beijing:Beijing Poly technic University Press,1993.175— 176 ;354— 355;419— 422 .(李子平.经典和量子约束系统及其对称性质.北京:北京工业大学出版社,1993.175—176 ;354— 355;419—422 )7. YOUNG BinLing,Introduction to Quantum Field Theories.Beijing :Science Press,1987,29— 38(杨炳麟.量子场论导引.上册.北京:科学出版社,1988,29—38)8. LI ZiPing.Europhys.Lett.,1994 ,27(8):563—567 9. LI ZiPing.Commun.Theor.Phys.,1997,27( 3):381—38410. Foussats A ,Manavella E ,Repetto C et al.Int.J .Theor.Phys.,1995,34(7) :1037—1053 11. Deser S ,Jackiw R ,Templeton S.Ann .Phys.,1982,140 :372—411 12. Antilon A ,Escalona J,German G et al.Phys.Lett.,1995,B359:327—333

  • Access

    加载中

Get Citation
LONG ZhengWen and Li ZiPing. Global Symmetry and Quantal Conservation Laws for a Gauge-Invariant System With a Higher-Order Lagrangian[J]. Chinese Physics C, 2000, 24(2): 106-112.
LONG ZhengWen and Li ZiPing. Global Symmetry and Quantal Conservation Laws for a Gauge-Invariant System With a Higher-Order Lagrangian[J]. Chinese Physics C, 2000, 24(2): 106-112. shu
Milestone
Received: 1998-12-14
Revised: 1900-01-01
Article Metric

Article Views(4119)
PDF Downloads(629)
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

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

Global Symmetry and Quantal Conservation Laws for a Gauge-Invariant System With a Higher-Order Lagrangian

    Corresponding author: LONG ZhengWen,
  • Department of Physics-Electronics, Guizhou University, Guiyang 550025, China2 Department of Applied Physics,Beijing Polytechnic University, Beijing 100022,China
  • Received Date: 1998-12-14
  • Accepted Date: 1900-01-01
  • Available Online: 2000-02-05

Abstract: Based on the configuration-space generating functional obtained by using the Faddeev-Popov trick for a gauge-invariant system and phase- space generating functional obtained by using the Faddeev-Senjanovic method for a constrained Hamiltonian system with a singular higher order Lagrangian respectively, the conservation laws at the quantum level were derived. A preliminary application of the present formulation to the higher-order Maxwell non-Abelian Chern-Sinons(CS) theory is given,the quantal BRS conserved charge and quantal angular momentum for higher-order Maxwell non-Abelian CS term coupled to scalar fields were obtained. The results arising from configuration space generating functional coincide with the result deriving from phase-space generating functional,and the quantal conserved angular momentum differ from the classical one in that one needs to take into account the contribution of the the angular momentum of ghost fields in Maxwell non-Abelian CS theories. The fractional spin property for CS theories is discussed.

    HTML

Reference (1)

目录

Link
IOPScience
SCOAP3
arXiv
Chinese Physical Society
Journal information
Introduction
Editorial Board
Others
Subscribe
Contact us
QQ: 1307685413
Tel: +86-010-88235947
Fax: +86-010-88233126
E-mail: cpc@ihep.ac.cn

  • CPC Website

  • IOP Website

  • CPC WeChat

Copyright © Institute of High Energy Physics, Chinese Academy of Sciences, 19B Yuquan Road, Beijing 100049, China 京ICP备05002789号-1

Supported by: Beijing Renhe Information Technology Co. Ltd  E-mail: info@rhhz.net

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return