https://doi.org/10.1140/epjc/s10052-009-1119-7
Regular Article - Theoretical Physics
Renormalization group equation and QCD coupling constant in the presence of SU(3) chromo-electric field
Department of Physics, University of Arizona, Tucson, AZ, 85721, USA
* e-mail: nayak@physics.arizona.edu
Received:
31
December
2008
Revised:
16
June
2009
Published online:
21
August
2009
We solve the renormalization group equation in QCD in the presence of a 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 a E a ] and C 2=[d abc E a E b E c ]2 instead of one gauge invariant C 1=[E a E a ]. The β 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.
PACS: 11.15.-q – / 11.15.Me – / 12.38.Cy – / 11.15.Tk –
© Springer-Verlag , 2009
