Preface -- 1 Elementary particles and fields -- 1.1 Conventions and notations -- 1.2 Particles and interactions -- 1.3 Quantum electrodynamics -- 1.4 Quantum chromodynamics -- 1.5 Bethe-Salpeter equation -- 1.6 Effective interactions -- 1.6.1 Preliminaries -- 1.6.2 The model NJL -- 2 The standard model -- 2.1 The electro-weak theory -- 2.1.1 Feynman rules for the electro-weak interaction -- 2.1.2 Higgs scalar search -- 2.2 Status of the standard model -- 2.3 Properties of nonrenormalizable equations, instructive example -- 3 Bogoliubov compensation -- 3.1 Origin of the approach -- 3.2 Application to QFT -- 3.3 A spontaneous generation of the Nambu-Jona-Lasinio interaction -- 3.4 Justification of the model choice -- 3.5 Compensation equation in a six-dimensional scalar model -- 3.6 Bethe-Salpeter equation and zero excitation -- 3.7 Compensation equation for scalar field mass -- 3.8 Estimate of nonlinearity influence -- 3.9 Conclusions of simple scalar model -- 3.10 Appendix -- 4 Three-gluon effective interaction -- 4.1 Compensation equation -- 4.2 Running coupling -- 4.3 The gluon condensate -- 4.4 The glueball -- 4.5 Conclusion -- 5 Nambu-Jona-Lasinio effective interaction -- 5.1 Introduction -- 5.2 Effective NJL interaction -- 5.3 Scalar and pseudo-scalar states -- 5.4 Spontaneous breaking of the chiral symmetry -- 5.5 Pion mass and the quark condensate -- 5.6 Numerical results and discussion -- 5.7 Vector mesons -- 5.7.1 Compensation equations for effective form-factors -- 5.7.2 Wave functions of vector states -- 5.7.3 Results and discussion -- 5.8 Necessary formulae -- 6 Three-boson interaction -- 6.1 Compensation equation for anomalousthree-boson interaction -- 6.2 Effective strong interaction in the weak gauge sector -- 6.3 Scalar bound state of two W-s -- 6.4 Muon g-2.

7 Possible four-fermion interaction of heavy quarks -- 7.1 Four-fermion interaction of heavy quarks -- 7.2 Doublet bound state ΨL TR -- 7.3 Stability problem -- 7.4 Possible effects of the heavy quarks interaction -- 8 Overall conclusion -- 8.1 Short review of achievements of the compensation approach -- 8.2 Examples of additional relations in the compensation approach -- 8.3 Weinberg mixing angle and the fine structure constant -- 8.4 Expectations -- 8.5 A possible effective interaction in the general relativity -- 8.6 Appendix -- Bibliography -- Index.