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G. M. Zinovjev

Publications and source records attributed to G. M. Zinovjev.

At least 73 records · Page 4Linked to original sources
arXiv2008

Fresh look at the Hagedorn mass spectrum as seen in the experiments

The medium dependent finite width is introduced into an exactly solvable model with the general mass-volume spectrum of the QGP bags. The model allows us to estimate the minimal value of the QGP bags' width from the lattice QCD data. The large width of the QGP bags not only explains the observed deficit in the number of hadronic resonances comparing to the Hagedorn mass spectrum, but also clarifies the reason why the heavy QGP bags cannot be directly observed as metastable states in a hadronic phase.

nucl-th↗
arXiv2008

New arrangement of common approach to calculating the QCD ground state

The quark behaviour in the background of intensive stochastic gluon field is studied. An approximate procedure for calculating the effective Hamiltonian is developed and the corresponding ground state within the Hartree-Fock-Bogolyubov approach is found. The comparative analysis of various model Hamiltonian is given and transition to the chiral limit in the Keldysh model is discused in detail.

hep-ph↗
arXiv2007

Gluon condensate behaviour at filling the Fermi sphere up

The impact of filling up the Fermi sphere with the quarks, which dynamically generated their masses on the instanton liquid at finite temperature and baryonic/quark number density, is investigated. It is demonstrated, in particular, that the boundary of chiral symmetry restoration phase transition is shifted to the larger (about 100 MeV more) value of quark chemical potential compared to the magnitude inherent in the Nambu-Jona-Lasinio model.

hep-ph↗
arXiv2007

Towards self-consistent definition of instanton liquid parameters

The possibility of self-consistent determination of instanton liquid parameters is discussed together with the definition of optimal pseudo-particle configurations and comparing the various pseudo-particle ensembles. The weakening of repulsive interactions between pseudo-particles is argued and estimated.

hep-ph↗
arXiv2007

Instanton Liquid at Finite Temperature and Chemical Potential of Quarks

Instanton liquid in heated and strongly interacting matter is studied using the variational principle. The dependence of the instanton liquid density (gluon condensate) on the temperature and the quark chemical potential is determined under the assumption that, at finite temperatures, the dominant contribution is given by an ensemble of calorons. The respective one-loop effective quark Lagrangian is used.

hep-ph↗
arXiv2006

Towards light scalar meson structure in terms of quark and gluon degrees of freedom

The origin of the lightest scalar mesons is studied in the framework of instanton liquid model (ILM) of the QCD vacuum. The impact of vacuum excitations on the sigma-meson features is analyzed in detail. In particular, it is noticed that the changes produced in the scalar sector may unexpectedly become quite considerable in spite of insignificant values of corrections to the dynamical quark masses and then the medley of sigma-meson and those excitations may reveal itself as broad resonance states of vitally different masses.

hep-ph↗
arXiv2005

Limits of colour charge interaction in the instanton liquid

The effect of external colour field impact on the instanton liquid is studied. In the course of this study the corresponding effective Lagrangians are derived for both regimes of weak and strong external field and in long wave-length approximation. The example of Euclidean colour point-like source is analyzed in detail and the feedback of field on the instanton liquid is estimated as a function of source intensity.

hep-ph↗
arXiv2004

Instanton in Euclidean non-abelian field of point-like source

{(Anti-)instanton behaviour in Euclidean non-abelian field of the point-like source is studied by analyzing the possible (anti-)instanton deformations as resulted from the variations of its characteristic parameters. The variational principle for searching such crumpled topological configurations is formulated and the problem is resolved then algebraically by the Ritz method (multipole expansion of the deformation fields). The region of (anti-)instanton parameters relevant to the instanton liquid model is investigated in detail. The approximate efficacious method to include such configurations contributing to the appropriate partition function is proposed and verified. Evaluating average energy of Euclidean non-abelian point-like source in the instanton environment (liquid) is performed within the superposition ansatz for the corresponding solutions of the Yang-Mills equations. For the colour singlet dipole this energy escalates linearly with the separation increasing and its tension coefficient develops the magnitude commensurate with that as inferred from lattice QCD.

hep-ph↗
arXiv2004

Towards possible origin of binding in non-abelian gauge theories

Estimate of average energy of the non-abelian dipole in the instanton medium is calculated. This energy for the dipole in colour singlet state escalates linearly with the separation increasing for the point-like sources unscreened. And its 'tension' coefficient develops the magnitude pretty similar to one as inferred from the lattice QCD and other model approaches.

hep-ph↗
arXiv2003

Point-like sources of Euclidean non-abelian field in the instanton liquid

An appraisal of average energy of Euclidean non-abelian point-like source in the instanton liquid is calculated. It behaves linearly increasing at large distances while unscreened. For the dipole in colour singlet state this energy increases linearly again with the separation increasing and its "tension" coefficient develops the magnitude pretty similar to the lattice approach and other model estimates. The situation of sources arbitrary oriented in colour space is perturbatively considered.

hep-ph↗
arXiv2002

Role of quark-instanton liquid interactions in colour superconductivity phase

The interaction of light quarks and instanton liquid is analyzed at finite density of quark/baryon matter and in the phase of nonzero values of diquark (colour) condensate. It is shown that instanton liquid perturbation produced by such an interaction results in an essential increase of the critical value of quark chemical potential $μ_c$ which provokes the perceptible increase of quark matter density around the expected onset of the colour superconductivity phase.

hep-ph↗
arXiv2002

Instanton vacuum at finite density of quark matter

We study light quark interactions in the instanton liquid at finite quark/baryon number density analyzing chiral and diquark condensates and investigate the behaviors of quark dynamical mass and both condensates together with instanton liquid density as a function of quark chemical potential. We conclude the quark impact (estimated in the tadpole approximation) on the instanton liquid could shift color superconducting phase transition to higher values of the chemical potential bringing critical quark matter density to the values essentially higher than conventional nuclear one.

hep-lat↗
arXiv2001

Diquark condensate and quark interaction with instanton liquid

The interaction of light quarks and instanton liquid is analyzed at finite density of quark/baryon matter and in the phase of nonzero values of diquark (colour) condensate. It is shown that instanton liquid perturbation produced by such an interaction results in an essential increase of the critical value of quark chemical potential $μ_c$ which provokes the perceptible increase of quark matter density around the expected onset of the colour superconductivity phase.

hep-ph↗
arXiv2001

Instanton liquid at finite quark density

The interaction of light quarks and instanton liquid in the phase of nonzero values of chiral condensate is studied at finite quark/baryon density. Calculating the generating functional in the tadpole approximation we investigate the behaviour of dynamical quark mass and chiral condensate together with instanton liquid density (which shows insignificant increase) as a function of quark/baryon chemical potential. We argue on the noticeable increase of quark density at the point of developing the nonzero magnitude of diquark condensate due only to the quark interaction with the instanton liquid.

hep-ph↗
arXiv2001

Quark induced excitations of the instanton liquid

The selfconsistent approach to the quark interactions in the instanton liquid is developed within the tadpole approximation calculating the basic functional integral. The effective Lagrangian obtained includes colourless scalar field interacting with quarks. The origin of this dynamical field as an interaction carrier in soft momentum region is discussed.

hep-ph↗