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Zong, Hong-Shi; He, Deng-Ke; Hou, Feng-Yao; Sun, Wei-Min; Zong, HS , Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China
General formula for the four-quark condensate and vacuum factorization assumption
Source PublicationINTERNATIONAL JOURNAL OF MODERN PHYSICS A
KeywordQcd Sum-rules Susceptibility Physics Quark
AbstractBy 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.
2008
ISSN0217-751X
Volume23Issue:10Pages:1507-1520
Subject AreaPhysics
Indexed BySCI
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Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5549
CollectionSCI期刊论文
Corresponding AuthorZong, HS , Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China
Recommended Citation
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.
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