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

Abstract
HTML
Reference
Related

PDF

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

[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.

[1]	LIANG Xiao-Feng , CHEN Huan , CHANG Lei , LIU Yu-Xin . Dynamical Chiral Symmetry Breaking and Phase Transition of Cuprate Superconductors in QED₃. Chinese Physics C, 2007, 31(2): 209-218.
[2]	CHEN Yong-Shou , GAO Zao-Chun . Spontaneously Broken Rotational Symmetry in Nuclear Structure: Some New Theoretical Aspects. Chinese Physics C, 2006, 30(S2): 14-19.
[3]	WU Jian-Feng , XUE Xun . Lorentz-Violating Electrodynamics Model. Chinese Physics C, 2006, 30(10): 950-955.
[4]	LI Rui-Jie , LI Zi-Ping . Quantal Canonical Symmetries in Spinor QED with Chern-Simons Term. Chinese Physics C, 2002, 26(4): 325-330.
[5]	WANG Shu-Zhong , HUANG Yong-Chang . SU(2)_L×SU(2)_R×U(1) σ-Model with Both Dynamical Breaking andVacuum Spontaneous Symmetry Breaking. Chinese Physics C, 2001, 25(12): 1152-1157.
[6]	Jiang Weizhou , Qiu Xijun . Density Effects on the Fermion and the Scalar and Pseudoscalar Mesons in the QCD-Like Gauged NJL Model. Chinese Physics C, 1999, 23(5): 481-488.
[7]	FU Deji , YANG Yatian , WANG Wenge , XU Gongou . Topological Approach to the Study of Dynamical Symmetry Breaking in IBM System. Chinese Physics C, 1993, 17(11): 1032-1039.
[8]	LI Fu-Bin . Spontaneous symmetry Breakdown and an Integral Expression of the Effective Potential in Quantum Electrodynamics. Chinese Physics C, 1992, 16(3): 212-218.
[9]	PAN Feng , CAO Yu-Fang , PAN Zhen-Yong . An Investigation of G Pair Included Fermion Dynamical Symmetry Model for Medium and Heavy Mass Nuclei. Chinese Physics C, 1991, 15(7): 647-654.
[10]	CUI Yun-Long , QIU Xi-Jun . THERMOSTATIC PROPERTIES OF NUCLEAR MATTER IN A SATURATING CHIRAL BREAKING FIELD THEORY. Chinese Physics C, 1990, 14(8): 731-738.
[11]	LUO Yu-Bing , HU Shi-Ke . THE SYMMETRY BREAKING OF THE SUPERSTRING-INSPIRED MODEL. Chinese Physics C, 1990, 14(2): 118-125.
[12]	LI Guang-Hua , HE Hui-Yong . THE U(90) DYNAMICAL SYMMETRY IN LIGHT NUCLEI. Chinese Physics C, 1990, 14(2): 164-170.
[13]	WANG En-Ke , LI Jia-Rong . CHIRAL PHASE TRANSITION IN A MODEL WITH DYNAMICAL SPONTANEOUS-SYMMETRY-BREAKING AT FINITE TEMPERATURE AND DENSITY. Chinese Physics C, 1990, 14(11): 980-990.
[14]	SUN Hong-Zhou , WANG Wei-Wei , ZHAO En-Guang , CHEN Sheng-Zhong . DYNAMICAL SUPERSYMMETRY U(36/24) IN LIGHT NUCLEI. Chinese Physics C, 1989, 13(3): 282-284.
[15]	LUO Xiang-Qian , CHEN Qi-Zhou , GUO Shuo-Hong . VACUUM OF 2+1 DIMENSIONAL SU(2) LGT WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING. Chinese Physics C, 1989, 13(4): 328-333.
[16]	SHEN Kun , QIU Zhong-Ping . THE CHIRAL SU(2)_L SU(2)_R σ-MODEL WITH MASSIVE π MESONS. Chinese Physics C, 1989, 13(8): 755-759.
[17]	LV Xiao-Fu , HU Shi-Ke . FRAGMENTATIONAL FUNCTION IN PION INCLUSIVE PROCESSES WITH DYNAMICAL SPONTANEOUS BREAKING. Chinese Physics C, 1988, 12(3): 307-314.
[18]	PAN Feng , CAO Yu-Fang , PAN Zhen-Yong . U^(B)(6)×U^(v)(12)×U^(π)(4) DYNAMICAL SYMMETRY IN ODD-ODD NUCLEI. Chinese Physics C, 1988, 12(3): 404-413.
[19]	ZHANG QI-REN . PARTIAL RESTORATION OF THE CHIRAL SYMMETRY AND THE π CONDENSATION IN NUCLEAR MATTER. Chinese Physics C, 1981, 5(3): 314-320.
[20]	KUANG YU-PING , YI YU-PING . DYNAMICAL SYMMETRY BREAKINGS IN QUANTUM CHROMODYNAMICS. Chinese Physics C, 1978, 2(6): 488-500.

Access

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3885)
PDF Downloads(424)
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

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.