Anomalous spin of the Chern-Simons-Georgi-Glashow model

  • With the Coulomb gauge, the Chern-Simons-Georgi-Glashow (CSGG) model is quantized in the Dirac formalism for the constrained system. Combining the Gauss law and Coulomb gauge consistency condition, the difference between the Schwinger angular momentum and canonical angular momentum of the system is found to be an anomalous spin. The reason for this result lies in the fact that the Schwinger energy momentum tensor and the canonical one have different symmetry properties in the presence of the Chern-Simons term.
      PCAS:
  • 加载中
  • [1] Jackiw R, Templeton S. Phys. Rev. D, 1981, 23: 2291[2] Deser S, Jackiw R, Templeton, S. Phys. Rev. Lett., 1982 48: 975; Ann. Phys. (N.Y.), 1982, 140: 372[3] Wilczek F, Zee A. Phys. Rev. Lett., 1983, 51: 2250[4] WU Yong-Shi, Zee A. Phys. Lett. B, 1984, 147: 325[5] Lee C K, Lee K M, Min H. Phys. Lett. B, 1990, 252: 79[6] Lee B H, Lee C K, Min H. Phys. Rev. D, 1992, 45: 4588[7] Gudnason S B. Nucl. Phys. B, 2009, 821: 151; Eto M, Gudnason S B. J. Phys. A: Math. Theor., 2011, 44: 095401[8] Girvin S, Prange R. The quantum Hall effect. Berlin: Springer, 1987; ZHANG Z, Hansson T, Kivelson S. Phys. Rev. Lett., 1989, 62: 82[9] Polyakov A. Mod. Phys. Lett. A, 1988, 3: 325[10] Banerjee R. Nucl. Phys. B, 1994, 419: 611-631[11] Banerjee R. Mukherjee P. Nucl. Phys. B, 1996, 478: 235[12] Banerjee R, Mukherjee P. Prog. Theor. Phys., 1999, 101: 1189-1197[13] Jackiw R, Weinberg E. Phys. Rev. Lett., 1990, 64: 2234[14] Ferrari F, Lazzizzera I. Phys. Lett. B, 1997, 395: 250[15] Tekin B, Saririan K, Hosotani Y. Nucl. Phys. B, 1999, 539: 720[16] Dirac P A M. Lectures on Quantum Mechanics. Mineola, New York: Dover Publications, Inc., 2001[17] Costa M E V, Girotti H O, Simes T J M. Phys. Rev. D, 1985, 32: 405[18] WANG Yong-Long, LI Zi-Ping, WANG Ke. Int. J of Theor. Phys., 2009, 48: 1894[19] Schwinger J. Phys. Rev., 1962, 125: 1043[20] HUANG Yong-Chang, HUO Qiu-Hong. Phys. Lett. B, 2008, 662: 290[21] WANG Ke, JIANG Yun-Guo, HUO Qiu-Hong. Chin. Phys. C(HEP NP), 2010, 34(5): 535[22] Carroll S M, Field G B, Jackiw R. Phys. Rev. D, 1990, 41: 1231
  • 加载中

Get Citation
HUO Qiu-Hong, JIANG Yun-Guo, WANG Ru-Zhi and YAN Hui. Anomalous spin of the Chern-Simons-Georgi-Glashow model[J]. Chinese Physics C, 2013, 37(4): 043104. doi: 10.1088/1674-1137/37/4/043104
HUO Qiu-Hong, JIANG Yun-Guo, WANG Ru-Zhi and YAN Hui. Anomalous spin of the Chern-Simons-Georgi-Glashow model[J]. Chinese Physics C, 2013, 37(4): 043104.  doi: 10.1088/1674-1137/37/4/043104 shu
Milestone
Received: 2012-05-03
Revised: 2012-05-31
Article Metric

Article Views(1486)
PDF Downloads(282)
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:

Anomalous spin of the Chern-Simons-Georgi-Glashow model

    Corresponding author: HUO Qiu-Hong,
    Corresponding author: JIANG Yun-Guo,

Abstract: With the Coulomb gauge, the Chern-Simons-Georgi-Glashow (CSGG) model is quantized in the Dirac formalism for the constrained system. Combining the Gauss law and Coulomb gauge consistency condition, the difference between the Schwinger angular momentum and canonical angular momentum of the system is found to be an anomalous spin. The reason for this result lies in the fact that the Schwinger energy momentum tensor and the canonical one have different symmetry properties in the presence of the Chern-Simons term.

    HTML

Reference (1)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return