This 2003 book is a rigorous introduction to the theory of complex angular momenta, based on lectures by Vladimir Gribov.This book provides a unique and rigorous introduction to the theory of complex angular momenta, based on the methods of field theory. It comprises an English translation of a lecture course given by Vladimir Gribov in 1969. Besides thier historical significance, these lectures contain material which is highly relevant to research today and is likely to form the basis for future developments in the subject.This book provides a unique and rigorous introduction to the theory of complex angular momenta, based on the methods of field theory. It comprises an English translation of a lecture course given by Vladimir Gribov in 1969. Besides thier historical significance, these lectures contain material which is highly relevant to research today and is likely to form the basis for future developments in the subject.This work provides a unique introduction to the theory of complex angular momenta, based on the methods of field theory. It comprises an English translation of a lecture course given by Vladimir Gribov in 1969. Besides their historical significance, these lectures contain material highly relevant to research today and likely to form the basis for future developments in the subject.Foreword Yuri Dokshitzer; Introduction Yuri Dokshitzer and Leonid Frankfurt; 1. High energy hadron scattering; 2. Physics of the t-channel and complex angular momenta; 3. Singularities of partial waves and unitarity; 4. Properties of Regge poles; 5. Regge poles in high energy scattering; 6. Scattering of particles with spin; 7. Fermion Regge poles; 8. Regge poles in perturbation theory; 9. Reggeization of an electron; 10. Vector field theory; 11. Inconsistency of the Regge pole picture; 12. Two-reggeon exchange and branch point singularities in the l plane; 13. Properties of Mandelstam branch singularities; 14. Reggeon diagrams; 15. Interacting reggeons; 16. Reggeon filãì