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Renormalization group equation and QCD coupling constant in the presence of SU(3) chromo-electric field

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 ins...

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Published in:The European physical journal. C, Particles and fields Particles and fields, 2009-11, Vol.64 (1), p.73-79, Article 73
Main Author: Nayak, Gouranga C.
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description 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.
doi_str_mv 10.1140/epjc/s10052-009-1119-7
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source Publicly Available Content Database; Springer Nature - SpringerLink Journals - Fully Open Access
subjects Astronomy
Astrophysics and Cosmology
Color
Coupling
Electric fields
Elementary Particles
Exact sciences and technology
Flux
Gages
Gauges
Gluons
Hadrons
Heavy Ions
Invariants
Joining
Large Hadron Collider
Mathematical analysis
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quark-gluon plasma
Regular Article - Theoretical Physics
String Theory
Strings
The physics of elementary particles and fields
Tubes
title Renormalization group equation and QCD coupling constant in the presence of SU(3) chromo-electric field
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