| Preface | 5 |
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| 1 Elementary particles and fields | 11 |
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| 1.1 Conventions and notations | 11 |
| 1.2 Particles and interactions | 12 |
| 1.3 Quantum electrodynamics | 19 |
| 1.4 Quantum chromodynamics | 23 |
| 1.5 Bethe–Salpeter equation | 26 |
| 1.6 Effective interactions | 28 |
| 1.6.1 Preliminaries | 28 |
| 1.6.2 The model NJL | 30 |
| 2 The standard model | 37 |
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| 2.1 The electro-weak theory | 37 |
| 2.1.1 Feynman rules for the electro-weak interaction | 50 |
| 2.1.2 Higgs scalar search | 53 |
| 2.2 Status of the standard model | 54 |
| 2.3 Properties of nonrenormalizable equations, instructive example | 59 |
| 3 Bogoliubov compensation | 67 |
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| 3.1 Origin of the approach | 67 |
| 3.2 Application to QFT | 68 |
| 3.3 A spontaneous generation of the Nambu–Jona-Lasinio interaction | 70 |
| 3.4 Justification of the model choice | 76 |
| 3.5 Compensation equation in a six-dimensional scalar model | 77 |
| 3.6 Bethe–Salpeter equation and zero excitation | 86 |
| 3.7 Compensation equation for scalar field mass | 87 |
| 3.8 Estimate of nonlinearity influence | 89 |
| 3.9 Conclusions of simple scalar model | 91 |
| 3.10 Appendix | 93 |
| 4 Three-gluon effective interaction | 96 |
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| 4.1 Compensation equation | 96 |
| 4.2 Running coupling | 103 |
| 4.3 The gluon condensate | 107 |
| 4.4 The glueball | 109 |
| 4.5 Conclusion | 111 |
| 5 Nambu–Jona-Lasinio effective interaction | 112 |
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| 5.1 Introduction | 112 |
| 5.2 Effective NJL interaction | 112 |
| 5.3 Scalar and pseudo-scalar states | 119 |
| 5.4 Spontaneous breaking of the chiral symmetry | 124 |
| 5.5 Pion mass and the quark condensate | 126 |
| 5.6 Numerical results and discussion | 129 |
| 5.7 Vector mesons | 135 |
| 5.7.1 Compensation equations for effective form-factors | 136 |
| 5.7.2 Wave functions of vector states | 142 |
| 5.7.3 Results and discussion | 148 |
| 5.8 Necessary formulae | 149 |
| 6 Three-boson interaction | 151 |
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| 6.1 Compensation equation for anomalousthree-boson interaction | 152 |
| 6.2 Effective strong interaction in the weak gauge sector | 161 |
| 6.3 Scalar bound state of two W-s | 163 |
| 6.4 Muon g-2 | 171 |
| 7 Possible four-fermion interaction of heavy quarks | 177 |
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| 7.1 Four-fermion interaction of heavy quarks | 177 |
| 7.2 Doublet bound state .L TR | 180 |
| 7.3 Stability problem | 184 |
| 7.4 Possible effects of the heavy quarks interaction | 186 |
| 8 Overall conclusion | 189 |
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| 8.1 Short review of achievements of the compensation approach | 189 |
| 8.2 Examples of additional relations in the compensation approach | 196 |
| 8.3 Weinberg mixing angle and the fine structure constant | 206 |
| 8.4 Expectations | 211 |
| 8.5 A possible effective interaction in the general relativity | 214 |
| 8.6 Appendix | 219 |
| Bibliography | 229 |
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| Index | 234 |
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