1995/11/30 by Suzhou Huang, M. Lissia, Marcello Lissia · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1016/s0550-3213(96)00463-4
published as Nucl.Phys.B480:623-654,1996 · 29 pages, RevTeX 3.0, plus 7 figures (postscript). This is the revised version that will appear in Nuclear Physics B; modifications to the original version leave results unchanged and mostly better clarify motivations and strategy
arxiv created 1996/09/23 · openalex publication_date 1996/12/01 · arxiv updated 2011/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that QCD undergoes dimensional reduction at high temperatures also in the quark sector. In the kinematic region relevant to screening physics, where the lowest Matsubara modes are close to their ``mass-shells'', all static Green's functions involving both quarks and gluons, are reproducible in the high-T limit by a renormalizable three dimensional Lagrangian up to order g2(T)∼ 1/ln T. This three dimensional theory only contains explicitly the lightest bosonic and fermionic Matsubara modes, while the heavier modes correct the tree-level couplings and generate extra local vertices. We also find that the quark degrees of freedom that have been retained in the reduced theory are nonrelativistic in the high-T limit. We then improve our result to order g4(T) through an explicit nonrelativistic expansion, in the spirit of the heavy quark effective theory. This effective theory is relevant for studying QCD screening phenomena with observables made from quarks, e.g. mesonic and baryonic currents, already at temperatures not much higher than the chiral transition temperature Tc.