Fermion Condensates in Lower Dimensional Gauge Theories

  • Combining a unitary transformation,the variational method and the exact ground state of pure gauge Hamiltonian.we investigate syst matically the vacumm structure and spintaneous chiral-symmetry breaking in (1+1) and (2+1) dimensional Hamiltonian lattice gauge theories with fermions,and obtain nice scaling behaviors for 〈ψψ〉 extending to the weak coupling regime.This paper not only reproduces well the exact value in the continuum Schwinger model,but also predicts the values for the fermion condensates in QCD2,QED3 and QCD3.
  • 加载中
  • [1] J. Kogut, Rev. Mod. Phys., 55(1983), 775.[2] I. Montvay, Rev. Mod. Phys.,59(1987), 263.[3] A. Patel et al., Phys. Rev. Lett., 57(1986), 1288.[4] S. Itoh, Y. Iwasaki and T. Yoshie, Phys. Lett., 185B(1987), 390.[5] X. Q. Luo, Ph. D. thesis, Zhongshan University; 1990.[6] N. Christ and A. Terrano, Phys. Rev. Lett., 56(1986), 111.[7] X. Q. Luo and S. H. Guo, in Weak Interactions and CP Violation, T. Huang and D. D. Wu eds., 156-162 (World Scientific, Singapore) 1990.[8] X. Q. Luo and Q, Z, ehen, J. Phys., G16(1990), 1181.[9] 陈启洲,郑维宏,罗向前,方锡岩,高能物理与核物理,15(1991),23.[10] Q. Z. Chen and X. Q. Luo, Phys. Rev., D42(1990), I293.[11] X. Q. Luo, B. P. He, Q. Z. Chen and S. H. Guo, Z. Phys., C51(1991), 423.[12] X. Q. Luo, to be published in Common. Theor. Phys., 16(1991), 505.[13] X. Q. Luo, Q. Z. Chen and S. H. Guo, High Energy Phys. Nucl. Phys. (Allerton, New York) 13(1989),157;高能物理与核物,13(19B9),328.[14] 陈启洲,罗向前、郭硕鸿,中山大学学报(自然科学版),No.2(1989),97.[15] X. Q. Luo, Q. Z. Chen and S. H. Guo, Z. Phys,C47(1990), 635:[16] X. Q. Luo and Q. Z. Chen, UCSB Preprint NSF-ITP-90-212. to be published.[17] X. Q. Luo, Z. Phys., C48(1990), 283.[18] X. Y. Fang, X. Q. Luo, G. C. Xu and Q.Z. Chen, to be published in J. Phys. G.[19] 陈启洲、方锡岩、许国材、刘金明、罗向前,高能物理与核物理,15(1991),518,[20] C. J. Hamer, J. Kogut, D. P. Crewther and M. M. Mazzolini, Nucl.Phys.,B208(1982),413. [21]T. Grandou, H.-T. Cho and H. M. Fried, .Phys. Rev.,D37(1988), 946.[22] S. H. Guo, W. H. Zheng and J. M. Liu, Phys. Rev.,D38(1988), 2591.[23] S. H. Guo and W. H. Zheng, Phys. Rev,D39(1989), 3144.[24] S. H. Guo and Z. B. Li, Phys. Rev.,D41(1990), 2598.[25] E. Dagotto, J. B. Kogut and A. Kocic, Phys. Rev. Lett., 62(1989), 1083.[26] C. J. Burden and C. J. Hamer, Phys. Rev.,D37(1988), 479.
  • 加载中

Get Citation
LUO Xiang-Qian and CHEN Qi-Zhou. Fermion Condensates in Lower Dimensional Gauge Theories[J]. Chinese Physics C, 1992, 16(8): 685-695.
LUO Xiang-Qian and CHEN Qi-Zhou. Fermion Condensates in Lower Dimensional Gauge Theories[J]. Chinese Physics C, 1992, 16(8): 685-695. shu
Milestone
Received: 1900-01-01
Revised: 1900-01-01
Article Metric

Article Views(2281)
PDF Downloads(459)
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:

Fermion Condensates in Lower Dimensional Gauge Theories

    Corresponding author: LUO Xiang-Qian,
  • Department of Physics,Zhongshan University,Guangzhou 510275

Abstract: Combining a unitary transformation,the variational method and the exact ground state of pure gauge Hamiltonian.we investigate syst matically the vacumm structure and spintaneous chiral-symmetry breaking in (1+1) and (2+1) dimensional Hamiltonian lattice gauge theories with fermions,and obtain nice scaling behaviors for 〈ψψ〉 extending to the weak coupling regime.This paper not only reproduces well the exact value in the continuum Schwinger model,but also predicts the values for the fermion condensates in QCD2,QED3 and QCD3.

    HTML

Reference (1)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return