The Effect of Retardation on the Spontaneous Breaking of Chiral Symmetry in GCM

YANG Sheng-Dong, ZHAI Chen-Yang, ZHOU Zhi-Ning, YANG Ze-Sen

理论物理通讯 ›› 2001, Vol. 36 ›› Issue (5) : 589-592.

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会计学季刊
Quarterly Journal of Accounting
主办单位:
香港中文大学会计学院
上海财经大学会计学院
南京大学商学院会计学系
ISSN: 3006-1415
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理论物理通讯 ›› 2001, Vol. 36 ›› Issue (5) : 589-592.

The Effect of Retardation on the Spontaneous Breaking of Chiral Symmetry in GCM

  • YANG Sheng-Dong1, ZHAI Chen-Yang2, ZHOU Zhi-Ning1, YANG Ze-Sen1
作者信息 +

The Effect of Retardation on the Spontaneous Breaking of Chiral Symmetry in GCM

  • YANG Sheng-Dong1, ZHAI Chen-Yang2, ZHOU Zhi-Ning1, YANG Ze-Sen1
Author information +
文章历史 +

摘要

An effective Hamiltonian including current-current coupling from the global color symmetry model is derived.Retardation effects are introduced by the factor (R/√π)e-R2γ2 ,instead of δ(r) in the correlation kernel,from which the retardation gap equation with α-α coupling in the 3Po vacuum is obtained,qq condensations of different retardation parameters R with or without the α-α term are calculated.The results show the effects of retardation,and indicate that the typical value of R is about 2 fm-1 at reasonable value of qq condensation.And while taking typical value 1 fm-1 of R,the condensation 1/3 is about 13% larger than that with no retardation effect.With the α-αterms,the condensation 1/3 is about 17% larger than that without it for all values of the parameter R.This shows that the retardation effects and the α-α terms are important for further studying in the Iow-energy region.

Abstract

An effective Hamiltonian including current-current coupling from the global color symmetry model is derived.Retardation effects are introduced by the factor (R/√π)e-R2γ2 ,instead of δ(r) in the correlation kernel,from which the retardation gap equation with α-α coupling in the 3Po vacuum is obtained,qq condensations of different retardation parameters R with or without the α-α term are calculated.The results show the effects of retardation,and indicate that the typical value of R is about 2 fm-1 at reasonable value of qq condensation.And while taking typical value 1 fm-1 of R,the condensation 1/3 is about 13% larger than that with no retardation effect.With the α-αterms,the condensation 1/3 is about 17% larger than that without it for all values of the parameter R.This shows that the retardation effects and the α-α terms are important for further studying in the Iow-energy region.

关键词

effect of retardation / condensation / spontaneous breaking of chiral symmetry

Key words

effect of retardation / condensation / spontaneous breaking of chiral symmetry

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导出引用
YANG Sheng-Dong, ZHAI Chen-Yang, ZHOU Zhi-Ning, YANG Ze-Sen. The Effect of Retardation on the Spontaneous Breaking of Chiral Symmetry in GCM[J]. 理论物理通讯, 2001, 36(5): 589-592
YANG Sheng-Dong, ZHAI Chen-Yang, ZHOU Zhi-Ning, YANG Ze-Sen. The Effect of Retardation on the Spontaneous Breaking of Chiral Symmetry in GCM[J]. Communications in Theoretical Physics, 2001, 36(5): 589-592

参考文献

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[4] S.D.YANG,Z.N.ZHOU and Z.S.YANG,Commun.Theor.Phys.(Beijing,China) 36 (2001) 443.



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基金

The project supported in part by National Natural Science Foundation of China (19875002)


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