Magnetic confinement and the Linde problem

Abstract

Perturbation theory of thermodynamic potentials in QCD at $T>T_c$ is considered with the nonperturbative background vacuum taken into account. It is shown that the magnetic confinement in the QCD vacuum prevents the infrared catastrophe of the perturbation theory present in the case of the free vacuum (the "Linde problem"). A short discussion is given of the applicability of the nonperturbative formalism at large $T$ and of the relation with the HTL theory.The observation of A.D.Linde, that the terms $O(g^n),n>6$ contribute to the order $O(g^6)$ is confirmed also with the account of the colormagnetic confinement, and it is shown that the latter makes these terms IR convergent, and summable. As a result one obtains the selfconsistent theory of the gluon plasma.

17 pages,1 figure,new references and discussions added

References in corpus (13)

• Three-loop HTLpt thermodynamics at finite temperature and chemical potential
• Massless Mode and Positivity Violation in Hot QCD
• Equation of State of Gluon Plasma from Local Action
• Vacuum phase transition at nonzero baryon density
• IR Renormalons vs. Operator Product Expansion in Supersymmetric and Related Gauge Theories
• Deconfinement transition for nonzero baryon density in the Field Correlator Method
• Nonperturbative equation of state of quark-gluon plasma. Applications
• Nonperturbative SU(3) thermodynamics and the phase transition
• Nonperturbative contributions to the QCD pressure
• Dynamical role of Polyakov loops in the QCD thermodynamics
• Recent progress in hard-thermal-loop QCD thermodynamics and collective excitations
• Nonperturbative approach to the parton model
• Colormagnetic confinement in the quark-gluon thermodynamics

Cited by in corpus (13)

• Field Correlator Method for the confinement in QCD
• Geometrically confined thermal field theory: Finite size corrections and phase transitions
• Thermodynamics of quark-gluon plasma at finite baryon density
• Nonperturbative QCD thermodynamics in the external magnetic field
• Effect of interactions on the topological expression for the chiral separation effect
• The speed of sound in QGP and SU(3) Yang-Mills theory
• Dense Quark-Gluon Plasma in strong magnetic fields
• Speed of sound, breaking of conformal limit and instabilities in quark-gluon plasma at finite baryon density
• Non-perturbative Suppression of Chiral Vortical Effect in Hot (s)QGP for Hyperons Spin Polarization in Heavy Ion Collisions
• Color screening in flux tubes and in the color Coulomb potential from the QCD Field Correlators
• The colormagnetic confinement in QCD
• The spatial string tension and the nonperturbative Debye mass from the Field Correlator Method
• Non-perturbative suppression of Chiral Effects in hot QGP for $\Lambda /\bar{\Lambda }$-hyperons spin polarization in heavy-ion collisions