Quantum Field Theory Of Point Particles And Strings

Avalon Publishing, 23.04.1998 - 752 Seiten
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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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Phenomenology Overview
First to Second Quantization
Free Scalar Field Theory
Free Spinor Field Theory
Quantization of the Electromagnetic Field
Interacting Field Theories
SelfInteracting Scalar Field Theory
Spinor Quantum Electrodynamics
YangMills and FaddeevPopov
Hiding the Infinities
Renormalization of QED at 1Loop
The Effective Action
Basic Ideas and Classical Theory
First Quantization
The Mathematics of Surfaces
HigherGenus Integrals

Functional Calculus
Free Fields in the Schrödinger Representation
Interacting Fields in the Schrödinger
Path Integral Representation
Path Integrals in Free Field Theory
Interacting Fields and Path Integrals
Scattering Amplitudes
Noncritical Dimensions
Introduction to Superstrings

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Seite 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.
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Seite 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.
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Seite 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
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Seite 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.
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Über den Autor (1998)

Brian Hatfield is co-founder and senior research physicist at AMP Research in Lexington, Massachusetts. He has help positions at the University of California, the University of Texas, and Harvard University. He received a Ph.D. in physics from Caltech.

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