2003/04/30 by V. Gogohia · 11 citations
Physics and Astronomy · #Color confinement #Gauge boson #Gauge fixing #Gauge theory #Gluon #Gluon condensate #Gluon field #Gravitational singularity #High-Energy Particle Collisions Research #Infrared #Lattice QCD #Mass gap #Massless particle #Mathematical analysis #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #QCD vacuum #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Regularization (linguistics) #Renormalization #Singularity #hep-ph #hep-th
paper · pdf · doi:10.1016/j.physletb.2004.01.032
published in Physics Letters B 584(1-2), 225-232 (Elsevier BV) · 10 pages, no figures, no tables. Typos corrected and the clarification is intoduced. Shorten version to appear in Phys. Lett. B
arxiv created 2004/01/21 · openalex publication_date 2004/02/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We fix exactly and uniquely the infrared structure of the full gluon propagator in QCD, not solving explicitly the corresponding dynamical equation of motion. By construction, this structure is an infinite sum over all possible severe (i.e., more singular than 1/q2) infrared singularities. It reflects the zero momentum modes enhancement effect in the true QCD vacuum, which is due to the self-interaction of massless gluons. Its existence automatically exhibits a characteristic mass (the so-called mass gap). It is responsible for the scale of nonperturbative dynamics in the true QCD ground state. The theory of distributions, complemented by the dimensional regularization method, allows one to put severe infrared singularities under firm mathematical control. By an infrared renormalization of a mass gap only, the infrared structure of the full gluon propagator is exactly reduced to the simplest severe infrared singularity, the famous (q2)−2. Thus we have exactly established the interaction between quarks (concerning its pure gluon (i.e., nonlinear) contribution) up to its unimportant perturbative part. This also makes it possible for the first time to formulate the gluon confinement criterion and intrinsically nonperturbative phase in QCD in a manifestly gauge-invariant ways.