The Gribov Theory of Quark Confinement.

Instability of non-Abelian gauge theories and impossibility of choice of Coulomb gauge1. Introduction; 2. Coulomb gauge; 3. Impossibility of unique introduction of transverse fields; 4. Increase of the invariant charge in non-Abelian theories; 5. Particular solutions of the chiral equation; 6. Transverse gauge fields; Local Confinement Of Charge In Massless QED; 1. Introduction; 2. Solution of the Dirac equation for massless particles in a field singular on the light cone; 3. Vacuum current of massless fermions; 4. Vacuum current in the pure bremsstrahlung field.

5. Vacuum current in perturbation theory6. Structure of the self-consistent field; 7. Vacuum current in the self-consistent field; 8. Currents and fields inside the cone; 9. Analogy with the one-dimensional case; References; Outlook; Anomalies as a manifestation of the high momentum collective motion in the vacuum; 1. General description of the phenomenon; 2. Quasi-classical description of the solutions of the Dirac equation for massless particles in electromagnetic field; 3. Current and energy-momentum tensor at large momenta; References.

Anomalies And A Possible Solution Of Problems Of Zero-Charge And Infra-Red Instability1. Introduction; 2. Vacuum polarization in external Coulomb field; 3. \Running\ charge of an external source; 4. Gauge invariance and a general expression for the anomalous current; A New Hypothesis on the Nature of Quark and Gluon Confinement; 1 Introduction; 2. The vacuum of tight quarks in the field of a heavy antiquark; 3. Attenuation of quarks in the vacuum; 4. Analogies from the field of solid state physics; 5. Gluon confinement; 6. Gluonic zero point fluctuations in the Coulomb field.

7. The structure of meson statesReferences; Possible Solution of the Problem of Quark Confinement; 1 Introduction; 2 The Green function of confined fermions; 3 Equations for the fermion Green function and for the wave functions of bound states; 4 Solution of the equation for the fermion Green function in the Euclidean region; 5 The solution of the equation for the Green function at time-like q2; 6 Phase transitions and structure of qq bound states; 7 The stability of the vacuum and the instability of fermion states; 8 Conclusion; References; Supercritical Charge in Bosonic Vacuum.