Yu. A. Simonov

Test of the QCD vacuum with the sources in higher representations

Recent accurate measurement by G.Bali of static potentials between sources in various SU(3) representations provides a crucial test of the QCD vacuum and of different theoretical approaches to the confinement. In particular, the Casimir scaling of static potentials found for all measured distances implies a strong suppression of higher cumulants and a high accuracy of the Gaussian stochastic vacuum. Most popular models are in conflict with these measurements.Recent accurate measurements [1, 2] of the static potentials between sources in various SU(3) representations provide a crucial test of the QCD vacuum and of different theoretical approaches to the confinement. In particular, the Casimir scaling of static potentials found for all measured distances implies strong suppression of higher cumulants and a high accuracy of the Gaussian stochastic vacuum. Most popular models are in conflict with these measurements.

Deconfinement transition for nonzero baryon density in the field correlator method

Deconfinement phase transition due to the disappearance of confining colorelectric field correlators is described using a nonperturbative equation of state. The resulting transition temperature Tc(μ) at any chemical potential μ is expressed in terms of the change of the gluon condensate ΔG2 and absolute value of the Polyakov loop Lfund(Tc), which is known from the lattice and analytic data, and is in good agreement with the lattice data for ΔG2 ≈ 0.0035 GeV4; e.g., Tc(0) = 0.27, 0.19, and, 0.17 GeV for nf = 0, 2, and 3, respectively.Deconfinement phase transition due to disappearance of confining colorelectric field correlators is described using nonperturbative equation of state. The resulting transition temperature

Pseudoscalar mesons and their radial excitations from the effective chiral Lagrangian

T_c(mu)

The static \(Q\bar Q\) interaction at small distances and OPE violating terms

at any chemical potential

Magnetic field focusing of hyperfine interaction in hydrogen

mu

Bottomonium γ(5S) decays into BB and BBπ

is expressed in terms of the change of gluonic condensate

Diquark and triquark correlations in the deconfined phase of QCD

Delta G_2

Di-pion emission in heavy quarkonia decays

and absolute value of Polyakov loop

Pion decay constants in a strong magnetic field

L_{fund} (T_c)

Gluonic correlation length from spin-dependent potentials

, known from lattice and analytic data, and is in good agreement with lattice data for