General formula for the four-quark condensate and vacuum factorization assumption

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	General formula for the four-quark condensate and vacuum factorization assumption
	Zong, Hong-Shi; He, Deng-Ke; Hou, Feng-Yao; Sun, Wei-Min; Zong, HS , Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China
刊名	INTERNATIONAL JOURNAL OF MODERN PHYSICS A
	2008
卷号	23 期号:10 页码:1507-1520
关键词	Qcd Sum-rules Susceptibility Physics Quark
ISSN号	0217-751X
英文摘要	By differentiating the dressed quark propagator with respect to a variable background field, the linear response of the dressed quark propagator in the presence of the background field can be obtained. From this general method, using the vector background field as an illustration, we derive a general formula for the four-quark condensate <(0) over tilde vertical bar : (q) over bar (0)gamma mu q(0)(q) over bar (0)gamma mu q(0) : vertical bar(0) over tilde >. This formula contains the corresponding fully dressed vector vertex and it is shown that factorization for <(0) over tilde vertical bar : (q) over bar (0)gamma mu q(0)(q) over bar (0)gamma mu q(0) : vertical bar(0) over tilde > holds only when the dressed vertex is taken to be the bare one. This property also holds for all other types of four-quark condensate. By comparing this formula with the general expression for the corresponding vacuum susceptibility, it is found that there exists some intrinsic relation between these two quantities, which are usually treated as independent phenomenological inputs in the QCD sum rule external field approach. The above results are also generalized to the case of finite chemical potential and the factorization problem of the four-quark condensate at finite chemical potential is discussed.
学科主题	Physics
URL标识	查看原文
WOS记录号	WOS:000255555700003
公开日期	2012-08-02
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/5549]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Zong, HS , Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China
推荐引用方式 GB/T 7714	Zong, Hong-Shi,He, Deng-Ke,Hou, Feng-Yao,et al. General formula for the four-quark condensate and vacuum factorization assumption[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A,2008,23(10):1507-1520.
APA	Zong, Hong-Shi,He, Deng-Ke,Hou, Feng-Yao,Sun, Wei-Min,&Zong, HS , Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China.(2008).General formula for the four-quark condensate and vacuum factorization assumption.INTERNATIONAL JOURNAL OF MODERN PHYSICS A,23(10),1507-1520.
MLA	Zong, Hong-Shi,et al."General formula for the four-quark condensate and vacuum factorization assumption".INTERNATIONAL JOURNAL OF MODERN PHYSICS A 23.10(2008):1507-1520.