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

Abstract

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.

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

References in corpus (3)

• Non-Perturbative Quark-Antiquark Production From a Constant Chromo-Electric Field via the Schwinger Mechanism
• Soft-Gluon Production Due to a Gluon Loop in a Constant Chromo-Electric Background Field
• Non-Perturbative Gluon pair production from a Constant Chromo-Electric Field via the Schwinger Mechanism in Arbitrary Gauge

Cited by in corpus (4)

• General Form of Color Charge of the Quark
• Proof of NRQCD Factorization at All Order in Coupling Constant in Heavy Quarkonium Production
• Light-Like Wilson Line in QCD Without Path Ordering
• Gauge Fixing Identity in the Background Field Method of QCD in Pure Gauge