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arXiv 0812.5054hep-phhep-thnucl-th
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有SU存在时的重整化群方程和QCD耦合常数(3)色-电场

Renormalization Group Equation and QCD Coupling Constant in the Presence of SU(3) Chromo-Electric Field

Gouranga C Nayak

摘要:

在SU(3)常数色电场E^a存在下,求解了QCD中的重整化群方程,其中色指数a= 1,2,.发现QCD耦合常数α s依赖于两个独立的Casimir/规范不变量C_1=[E^aE^a]和C_2=[ d_{abc} E^aE^bE^c]^2,而不是一个规范不变量C_1=[E^aE^a]。β函数由单回路有效作用量导出。这个耦合常数对于研究高能对撞机上色流管/弦中强子的形成以及RHIC和LHC上夸克-胶子等离子体的形成可能是有用的。

英文摘要:

We solve renormalization group equation in QCD in the presence of SU(3) constant chromo-electric field E^a with arbitrary color index a=1,2,...8 and find that the QCD coupling constant α_s depends on two independent casimir/gauge invariants C_1=[E^aE^a] and C_2=[d_{abc}E^aE^bE^c]^2 instead of one gauge invariant C_1=[E^aE^a]. The βfunction is derived from the one-loop effective action. This coupling constant may be useful to study hadron formation from color flux tubes/strings at high energy colliders and to study quark-gluon plasma formation at RHIC and LHC.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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