Introduction to the relativistic string theory - Barbašov, B. M. (World Scientific, 1990)
Includes bibliographical references (pages 233-244) and index
PREFACE; Chapter 1 ACTION FUNCTIONAL FOR A RELATIVISTIC STRING AND LAGRANGIAN FORMALISM; 1. Relativistic String in Elementary Particle Physics; 2. Action for the Relativistic String; 3. The Hamilton Principle and Equations of Motion; 4. Solution of the Equations of Motion with Fourier Series. Covariant Formalism; 5. Noncovariant Lagrangian Formalism; 6. Solution of the Cauchy Problem for Equations of Motion for the Relativistic String in the Lagrange Formalism; 7. Examples of Motions of the Relativistic String; Chapter 2 HAMILTONIAN FORMALISM AND QUANTIZATION.
8. Constraints and Equations of Motion in Phase Space9. Hamiltonian Theory of the Relativistic String with Gauge Conditions. Noncovariant Quantization; 10. Covariant Hamiltonian Formalism and Covariant Quantization. BRST Formalism; 11. The Rohrlich Quantization of the Relativistic String; Chapter 3 STRING WITH MASSES AT ENDS. CHARGED STRING; 12. Theory of a Limited Class of Motions of a Relativistic String with Masses at Ends; 13. Some Exact Solutions for the String with Massive Ends; 14. Infinite Relativistic String with a Point-like Mass; 15. Inter-quark Potential in the String Model
16. Open Strings in a Background Electromagnetic Field17. The Open String With a Net Charge in an External Electromagnetic Field; Chapter 4 GEOMETRICAL APPROACH IN THE RELATIVISTIC STRING THEORY; 18. Mathematical Introduction; 19. Minimal Surfaces; 20. Nonlinear Equations in the Geometrical Theory of the String and their General Solutions; 21. Investigation of Soliton Solutions to the Liouville Equation. Semi-classical Quantization; 22. Parametrization t = r in the String Theory; 23. Gauge Freedom in the Moving Frame on the String World Surface
24. Relativistic String in the de Sitter Space-time25. Generalization of the Relativistic String Model in the Geometrical Approach; Chapter 5 CONNECTION OF THE RELATIVISTIC STRING WITH FIELD MODELS. GENERALIZATION OF THE STRING APPROACH TO THE ELEMENTARY PARTICLE PHYSICS; 26. String-like Solutions in the Superconductivity Theory. Cosmic Strings; 27. Strings in the Dirac Monopole Theory; 28. Born-Infeld Nonlinear Models and Relativistic String; 29. Relativistic String and Nonlinear Two-dimensional Sigma-model; 30. Polyakov's String Theory; 31. Spinning String and Superstring