EFFECTIVE-POTENTIAL STUDY OF DYNAMICAL CHIRAL SYMMETRY BREAKING IN QUANTUM CHROMODYNAMICS

  • Starting from QCD lagrangian with massless fermions and using the bilinear external sources, we derive the effective potential as a functional of composite operators, i.e.,functional of fermion propagator and gluon propagator, and then derive the Dyson--Schwinger equation for the propagators. There exist two sets of solution, the chiral-symmetry solution and chiralbreaking solution. By studying the asympotic solution of equation, we find that for the coupling constant beyond a critical value (α=1/4), a chiral-breaking solution is found, while for α<1/4 the chiral-symmetry consetrves. Using the asympotic behavior of the quark self-energy and the experimantal value for π ion decay constant fπ, we estimate the dynamical generated quark mass value, which is in agreement with the values obtained from other theoretical and experimental methods. Significance of the results are discussed.
  • 加载中
  • [1] G. Jona-Lasinio, Nuovo Cimento.; 34(1964), 1790; S. Coleman and E. Weinberg, Phys. Rev.,D7(1973),1888.[2] R. Jackiw, Phys. Rev., D9(1974), 1686.[3] J. Cornwall, R. Jackiw and E. TombouIis, Phys. Rev., DIO(1974), 2428.[4] R. W. Haymaker and J. Perez-Mercader, Phys, Rev., D27(1983), 1353.[5] K. T. Mahanthappa and J. Randa., Phys. Rev., D27(1983), 2500,[6] H. Pagels,and S.Stokar, Phys. Rev., D20(1979), 2947.[7] Lay-Nam Chang,Ngee-Pong Chang, Phys. Rev., D29(1984), 312.
  • 加载中

Get Citation
ZHU Chao-Yuan and HU Shi-Ke. EFFECTIVE-POTENTIAL STUDY OF DYNAMICAL CHIRAL SYMMETRY BREAKING IN QUANTUM CHROMODYNAMICS[J]. Chinese Physics C, 1987, 11(4): 451-461.
ZHU Chao-Yuan and HU Shi-Ke. EFFECTIVE-POTENTIAL STUDY OF DYNAMICAL CHIRAL SYMMETRY BREAKING IN QUANTUM CHROMODYNAMICS[J]. Chinese Physics C, 1987, 11(4): 451-461. shu
Milestone
Received: 1900-01-01
Revised: 1900-01-01
Article Metric

Article Views(2572)
PDF Downloads(423)
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:

EFFECTIVE-POTENTIAL STUDY OF DYNAMICAL CHIRAL SYMMETRY BREAKING IN QUANTUM CHROMODYNAMICS

    Corresponding author: ZHU Chao-Yuan,

Abstract: Starting from QCD lagrangian with massless fermions and using the bilinear external sources, we derive the effective potential as a functional of composite operators, i.e.,functional of fermion propagator and gluon propagator, and then derive the Dyson--Schwinger equation for the propagators. There exist two sets of solution, the chiral-symmetry solution and chiralbreaking solution. By studying the asympotic solution of equation, we find that for the coupling constant beyond a critical value (α=1/4), a chiral-breaking solution is found, while for α<1/4 the chiral-symmetry consetrves. Using the asympotic behavior of the quark self-energy and the experimantal value for π ion decay constant fπ, we estimate the dynamical generated quark mass value, which is in agreement with the values obtained from other theoretical and experimental methods. Significance of the results are discussed.

    HTML

Reference (1)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return