![]() ![]() Volume 1, An Introduction to the Bosonic String, provides a thorough introduction to the bosonic string, based on the Polyakov path integral and conformal field theory. The ideas and calculation techniques presented in this book are useful for analysing high-energy hadron scattering phenomena, deep inelastic lepton-hadron scattering, the physics of heavy ion collisions, kinetic phenomena in phase transitions, and will be instrumental in the analysis of electroweak processes at the next-generation particle accelerators, such as LHC and TESLA.ĭescription: Available for the first time in paperback, String Theory comprises two volumes which present an up-to-date, comprehensive account of the subject. The basic physical results and the approaches Gribov developed are now being rediscovered in an alternative context: in the microscopic theory of hadrons provided by quantum chromodynamics. Besides their historical significance, these lectures contain material which is highly relevant to research today. Gribov in 1969, when the physics of high-energy hadron interactions was being created. ![]() It comprises an English translation of the series of lectures given by V. It also provides a comprehensive reference for researchers already working in the field.ĭescription: This 2003 book provides a rigorous introduction to the theory of complex angular momenta, based on the methods of field theory. ![]() The book contains many worked examples and is suitable for use as a textbook on graduate courses. A chapter is devoted to the inverse scattering method and three complementary chapters cover the necessary mathematical tools from symplectic geometry, Riemann surfaces and Lie algebras. The KP, KdV and Toda hierarchies are explained using the notion of Grassmannian, vertex operators and pseudo-differential operators. The connection between isomonodromic deformation and integrability is discussed, and integrable field theories are covered in detail. These ideas are then illustrated with detailed studies of model systems. The book begins by introducing the central ideas of the theory of integrable systems, based on Lax representations, loop groups and Riemann surfaces. Featuring a new preface setting the work in context in light of recent advances, this book is invaluable for graduate students and researchers in general relativity and elementary particle theory.ĭescription: This book provides a thorough introduction to the theory of classical integrable systems, discussing the various approaches to the subject and explaining their interrelations. A detailed discussion of the evaluation of tree-approximation scattering amplitudes is also given. A self-contained introduction to superstrings, Volume 1 begins with an elementary treatment of the bosonic string, before describing the incorporation of additional degrees of freedom: fermionic degrees of freedom leading to supersymmetry and internal quantum numbers leading to gauge interactions. Despite the immense progress that has been made in the field since then, the systematic exposition of the foundations of superstring theory presented in these volumes is just as relevant today as when first published. Published during a period of rapid progress in this subject, these volumes were highly influential for a generation of students and researchers. Description: Twenty-five years ago, Michael Green, John Schwarz, and Edward Witten wrote two volumes on string theory.
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