Quantum Field Theory Of Point Particles And Strings
The purpose of this book is to introduce string theory without assuming any background in quantum field theory. Part I of this book follows the development of quantum field theory for point particles, while Part II introduces strings. All of the tools and concepts that are needed to quantize strings are developed first for point particles. Thus, Part I presents the main framework of quantum field theory and provides for a coherent development of the generalization and application of quantum field theory for point particles to strings.Part II emphasizes the quantization of the bosonic string. The treatment is most detailed in the path integral representation where the object of interest, the partition function, is a sum over random surfaces. The relevant mathematics of Riemann surfaces is covered. Superstrings are briefly introduced, and the sum over genus 0 supersurfaces is computed.The emphasis of the book is calculational, and most computations are presented in step-by-step detail. The book is unique in that it develops all three representations of quantum field theory (operator, functional Schrödinger, and path integral) for point particles and strings. In many cases, identical results are worked out in each representation to emphasize the representation-independent structures of quantum field theory.
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2-point function 6-function action amplitude anticommuting bosonic chapter charge chiral classical components compute conformal constraint coordinate Coulomb gauge counterterm covariant curvature curve defined derivative determinant diagram diffeomorphism dimension Dirac divergent dºk eigenvalue electron equation of motion equivalent expansion factor Faddeev–Popov fermions figure finite free field gauge invariant gauge slice gauge transformation Gaussian genus Green's function Hamiltonian hence holomorphic homeomorphic identical interacting loop Lorentz invariant mass matrix metric momentum negative energy normal ordering operator path integral perturbative photon propagator physical point particle potential quantization quantum field theory quarks renormalized represents result Riemann surfaces ſ dºr S-matrix satisfy scalar field Schrödinger equation Schrödinger representation ſº solution space-time spin spinor string theory supersymmetry symmetry tangent space tensor term time-ordered torus vacuum vanish vector field vertex wave functional Weyl world-sheet zero modes
Page vii - Frontiers in Physics" has been conceived in an effort to improve the situation in several ways. First, to take advantage of the fact that the leading physicists today frequently give a series of lectures, a graduate seminar, or a graduate course in their special fields of interest. Such lectures serve to summarize the present status of a rapidly developing field and may well constitute the only coherent account available at the time.
Page iii - Frontiers in Physics David Pines, Editor Volumes of the Series published from 1961 to 1973 are not officially numbered. The parenthetical numbers shown are designed to aid librarians and bibliographers to check the completeness of their holdings. Titles published in this series prior to 1987 appear under either the WA Benjamin or the Benjamin/Cummings imprint; titles published since 1986 appear under the Westview Press imprint.
Page iv - Current, 1967 Current Algebras and Applications to Particle Physics, 1968 Nuclear Theory: The Quasiparticle Method, 1968 The Quark Model, 1969 Approximation Methods in Quantum Mechanics, 1969 Nonlinear Plasma Theory, 1969 Quantum Kinematics and Dynamics, 1970 Statistical Mechanics: A Set of Lectures, 1972...
Page vii - The enormous growth in the number of physicists has tended to make the familiar channels of communication considerably less effective. It has become increasingly difficult for experts in a given field to keep up with the current literature; the novice can only be confused. What is needed is both a consistent account of a field and the presentation of a definite "point of view
Page iv - Froissart for Experimentalists, 1963 Complex Angular Momenta and Particle Physics: A Lecture Note and Reprint Volume, 1963 The Equilibrium Theory of Classical Fluids: A Lecture Note and Reprint Volume, 1964 The Eightfold Way (A Review — With a Collection of Reprints), 1964 Strong-Interaction Physics: A Lecture Note Volume, 1964 Theory of Interacting Fermi Systems, 1964 Theory of Superconductivity, 1964 (revised 3rd printing, 1983) Nonlinear Optics: A Lecture Note and Reprint Volume, Frontiers in...
Page v - Hydrodynamic Fluctuation, Broken Symmetry, and Correlation Functions, 1975 Qualitative Methods in Quantum Theory, 1977 Condensed Matter Physics: Dynamic Correlations, 1980 Gauge Fields: Introduction to Quantum Theory, 1980 Field Theory: A Modern Primer, 1981 [cf. 74— 2nd ed.] Heavy Ion Reactions: Lecture Notes Vol. I, Elastic and Inelastic Reactions, 1981 Heavy Ion Reactions: Lecture Notes Vol. II, 1990 54.
Page viii - ... status of a rapidly developing field and may well constitute the only coherent account available at the time. Often, notes on lectures exist (prepared by the lecturer himself, by graduate students, or by postdoctoral fellows) and have been distributed in mimeographed form on a limited basis. One of the principal purposes of the "Frontiers in Physics" series is to make such notes available to a wider audience of physicists.
Page iii - Problem in Quantum Theory of Many-Particle Systems: A Lecture Note and Reprint Volume, 1961 The Many-Body Problem: A Lecture Note and Reprint , Volume, 1961 The...
Page v - II, 1990 Lie Algebras in Particle Physics: From Isospin to Unified Theories, 1982 Basic Notions of Condensed Matter Physics, 1983 Gauge Theories of the Strong, Weak, and Electromagnetic Interactions, 1983 Crystal Optics and Additional Light Waves, 1983 Superspace or One Thousand and One Lessons in Supersymmetry, 1983 Semi-Simple Lie Algebras and Their Representations, 1984 Grand Unified Theories, 1984 Condensed Matter Physics: Dynamic Correlations, 2nd Edition, 1986 Gauge Field Theories, 1986 High...
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