Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks

  • Using the improved lattice Hamiltonian with massive Wilson quarks and the variational method, we study the quark mass m and the Wilson parameter r dependence of the vector meson mass MV in the two-dimensional SU(NC) lattice gauge theory. The numerical results show that for NC = 2,3,4,5,6,7,…,in the scaling window , MV/g is approximatively linear with m, but MV/g isn’t obviously dependent on r (this differs from the quark condensate). Particularly, when ,our numerical results agree very well with Bhattacharya’s analytical strong coupling result in the continuum, and the value of in two-dimensional SU(NC) lattice gauge theory is very close to that in Schwinger model.
  • 加载中
  • [1] . LUO Xiang-Qian, CHEN Qi-Zhou, XU Guo-Cai et al.Phys. Rev., 1994, D50: 501; JIANG Jun-Qin, LUO Xiang-Qian et al. Phys. Rev., 1999, D60: 0145012. LUO X Q, GUO S H, Krger H et al. Phys. Rev., 1999,D59: 0345033. JIANG Jun-Qin, LUO Xiang-Qian, GUO Shuo-Hong et al.HEP NP, 1999, 23(12): 1152 (in Chinese)4. JIANG Jun-Qin, LI Jie-Ming. HEP NP, 2001, 25(7): 617(in Chinese)5. JIANG Jun-Qin, LI Jie-Ming. Phys. Rev., 2003, D68:0945026. 't Hooft G. Nucl. Phys., 1974, B72: 4617. Steinhardt P J. Nucl. Phys., 1980, B176: 1008. Bhattacharya G. Nucl. Phys., 1982, B205: 4619. Zhitnitsky A R. Phys. Lett., 1985, B165: 40510. Grandou T, Cho H T, Fried H M. Phys. Rev., 1988, D37:94611. Hamer C J. Nucl. Phys., 1980, B195: 50312. JIANG Jun-Qin. HEP NP, 2007, 31(1): 19 (in Chinese)13. Banks T, Kogut J, Susskind L. Phys. Rev., 1976, D13:1043
  • 加载中

Get Citation
JIANG Jun-Qin. Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks[J]. Chinese Physics C, 2008, 32(1): 9-12. doi: 10.1088/1674-1137/32/1/002
JIANG Jun-Qin. Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks[J]. Chinese Physics C, 2008, 32(1): 9-12.  doi: 10.1088/1674-1137/32/1/002 shu
Milestone
Received: 2007-02-06
Revised: 2007-05-30
Article Metric

Article Views(2251)
PDF Downloads(601)
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:

Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks

  • 广东教育学院物理系

Abstract: Using the improved lattice Hamiltonian with massive Wilson quarks and the variational method, we study the quark mass m and the Wilson parameter r dependence of the vector meson mass MV in the two-dimensional SU(NC) lattice gauge theory. The numerical results show that for NC = 2,3,4,5,6,7,…,in the scaling window , MV/g is approximatively linear with m, but MV/g isn’t obviously dependent on r (this differs from the quark condensate). Particularly, when ,our numerical results agree very well with Bhattacharya’s analytical strong coupling result in the continuum, and the value of in two-dimensional SU(NC) lattice gauge theory is very close to that in Schwinger model.

    HTML

Reference (1)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return