Preface |
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ix | |
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General properties of QCD |
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1 | (52) |
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1 | (1) |
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Quantization of the QCD Lagrangian |
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2 | (5) |
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7 | (3) |
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10 | (4) |
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14 | (1) |
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15 | (3) |
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18 | (3) |
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21 | (6) |
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27 | (8) |
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Asymptotic freedom in QCD |
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35 | (3) |
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The renormalization scheme and scale ambiguity |
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38 | (4) |
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Anomalous dimensions of twist-2 operators |
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42 | (3) |
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45 | (8) |
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49 | (4) |
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Chiral symmetry and its spontaneous violation |
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53 | (29) |
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The general properties of QCD at low energies |
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53 | (1) |
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The masses of the light quarks |
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54 | (5) |
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Spontaneous violation of chiral symmetry. Quark condensate |
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59 | (2) |
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61 | (4) |
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Chiral effective theory (CET) at low energies |
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65 | (9) |
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Low-energy sum rules in CET |
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74 | (2) |
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The nucleon and pion-nucleon interaction in CET |
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76 | (6) |
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77 | (2) |
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79 | (3) |
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82 | (25) |
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82 | (1) |
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82 | (11) |
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The axial anomaly and the scattering of polarized electron (muon) on polarized gluon |
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93 | (2) |
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95 | (5) |
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The infrared power-like singularities in photon-photon, photon-gluon, and gluon-gluon scattering in massless QED and QCD. Longitudinal gluons in QCD |
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100 | (7) |
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104 | (1) |
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105 | (2) |
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Instantons and topological quantum numbers |
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107 | (38) |
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Tunneling in quantum mechanics |
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108 | (7) |
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Instantons and the topological current |
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115 | (12) |
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Instantons in Minkowski space-time |
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127 | (3) |
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Fermions in the instanton field. Atiyah-Singer theorem |
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130 | (3) |
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The vacuum structure in QCD |
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133 | (1) |
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The pre-exponential factor of the instanton action. The dilute gas instanton model |
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134 | (5) |
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Quark propagator in the instanton field |
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139 | (2) |
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141 | (4) |
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142 | (1) |
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142 | (3) |
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Divergence of perturbation series |
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145 | (50) |
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Renormalization group approach to renormalons |
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147 | (5) |
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High-order estimates in zero-dimensional models |
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152 | (3) |
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Zero charge and asymptotic freedom in scalar models |
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155 | (4) |
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Renormalized strongly nonlinear scalar model |
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159 | (6) |
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Functional approach to the high-order estimates |
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165 | (9) |
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Series divergence in models with gauge interactions |
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174 | (8) |
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Asymptotic estimates in the pure Yang-Mills theory |
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182 | (4) |
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Asymptotic estimates in quantum electrodymamics |
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186 | (4) |
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Applications of high-order estimates |
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190 | (5) |
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193 | (2) |
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195 | (114) |
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Operator product expansion |
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195 | (4) |
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199 | (3) |
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Condensates, induced by external fields |
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202 | (2) |
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204 | (3) |
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Determination of αs (Q2) and the condensates from low-energy data |
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207 | (22) |
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Calculations of light meson masses and coupling constants |
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229 | (10) |
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Sum rules for baryon masses |
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239 | (13) |
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252 | (7) |
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Static properties of hadrons |
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259 | (20) |
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Three-point functions and formfactors at intermediate momentum transfers |
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279 | (6) |
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Valence quark distributions in hadrons |
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285 | (24) |
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299 | (3) |
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302 | (7) |
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309 | (93) |
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309 | (2) |
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311 | (5) |
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Evolution equations for parton distributions |
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316 | (8) |
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Splitting kernels in the Born approximation |
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324 | (8) |
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OPE on light cone and parton model |
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332 | (2) |
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Evolution equations for fragmentation functions |
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334 | (4) |
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Parton distributions in QCD in LLA |
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338 | (7) |
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Hard processes beyond the LLA |
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345 | (8) |
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Parton-number correlators |
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353 | (6) |
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Deep inelastic electron scattering off the polarized proton |
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359 | (8) |
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Parton distributions in polarized nucleon |
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367 | (5) |
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Evolution equations for quasipartonic operators |
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372 | (7) |
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Q2-dependence of the twist-3 structure functions for the polarized target |
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379 | (4) |
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Infrared evolution equations at small x |
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383 | (19) |
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397 | (5) |
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402 | (46) |
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Total cross section of e+e- -annihilation into hadrons |
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402 | (3) |
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405 | (1) |
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406 | (6) |
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412 | (2) |
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414 | (1) |
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415 | (2) |
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417 | (6) |
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Soft-gluon approximations |
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423 | (6) |
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429 | (4) |
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Hump-backed shape of parton spectra |
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433 | (4) |
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Multiplicity distributions and KNO scaling |
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437 | (1) |
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Moments of fragmentation functions at small j -- 1 |
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438 | (3) |
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Modified Leading Logarithmic Approximation (MLLA) |
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441 | (7) |
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444 | (4) |
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448 | (85) |
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448 | (2) |
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450 | (4) |
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Reggeon vertices and trajectory |
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454 | (15) |
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469 | (7) |
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476 | (15) |
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Bootstrap of the gluon reggeization |
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491 | (13) |
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Next-to-leading order BFKL |
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504 | (29) |
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527 | (6) |
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Further developments in high-energy QCD |
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533 | (46) |
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Effective-action approach |
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533 | (9) |
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BFKL dynamics and integrability |
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542 | (8) |
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550 | (11) |
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Baxter-Sklyanin representation |
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561 | (9) |
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Maximal transcendentality and anomalous dimensions |
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570 | (5) |
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Discussion of obtained results |
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575 | (4) |
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575 | (4) |
Notations |
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579 | (1) |
Index |
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580 | |