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

ZHU Chao-Yuan; HU Shi-Ke

Chinese Physics C> 1987, Vol. 11> Issue(4) : 451-461

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

ZHU Chao-Yuan ^, ,
HU Shi-Ke

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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 f_π, 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.

References

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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

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

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

ZHU Chao-Yuan ^,
HU Shi-Ke

Corresponding author: ZHU Chao-Yuan,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1987-08-05

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 f_π, 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.