Dynamical gluon mass in the instanton vacuum model

Abstract

We are considering the modifications of gluon properties in Instanton Liquid Model (ILM) for the QCD vacuum. Re-scattering of a gluons on an instantons leads to the dynamical momentum-dependent gluon mass $M_g(q).$ First, we considered scalar "gluon", since there are no zero-modes problem and found its dynamical mass $M_s(q)$. At the typical phenomenological values of the average instanton size $\rho =1/3fm$ and average inter-instanton distance $R=1fm$ we got $M_s(0)=256MeV$. Further, we extended this approach to the real vector gluon with careful consideration of zero-modes and got $M_g^2(q)=2M_s^2(q).$ This modification of the gluon in the instanton media might be important for the heavy quarkonium physics at least.

References in corpus (3)

• Lectures on instantons
• Low energy constants of \chiPT from the instanton vacuum model
• Heavy-heavy and heavy-light quarks interactions generated by QCD vacuum

Cited by in corpus (6)

• Instanton effects on charmonium states
• Heavy quark correlators in Instanton Liquid Model with perturbative corrections
• Gluons, Light and Heavy Quarks in the Instanton Vacuum
• ILM gluons in perturbative QCD
• Mass spectra of heavy mesons with instanton effects
• Dynamical gluon mass at non-zero temperature in instanton vacuum model