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

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

2008-12-30

arxiv.org/abs/0812.5054v2

Eur.Phys.J.C64:73,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages latex, 4 eps figs, Eur. Phys. J. C

Scientific paper

10.1140/epjc/s10052-009-1119-7

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 \alpha_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 \beta function 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.

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