Quantum Field Theory Of Point Particles And Strings

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Avalon Publishing, Apr 23, 1998 - Science - 752 pages
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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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Contents

Phenomenology Overview
3
First to Second Quantization
9
Free Scalar Field Theory
35
Free Spinor Field Theory
59
Quantization of the Electromagnetic Field
77
Interacting Field Theories
93
SelfInteracting Scalar Field Theory
111
Spinor Quantum Electrodynamics
155
YangMills and FaddeevPopov
341
Hiding the Infinities
361
Renormalization of QED at 1Loop
377
The Effective Action
431
Basic Ideas and Classical Theory
475
First Quantization
503
The Mathematics of Surfaces
535
HigherGenus Integrals
631

Functional Calculus
179
Free Fields in the Schrödinger Representation
199
Interacting Fields in the Schrödinger
225
Path Integral Representation
271
Path Integrals in Free Field Theory
301
Interacting Fields and Path Integrals
329
Scattering Amplitudes
653
Noncritical Dimensions
669
Introduction to Superstrings
687
Bibliography
721
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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 - Nuclear Theory: Pairing Force Correlations to Collective Motion, 1964 Mandelstam Theory and Regge Poles: An Introduction for Experimentalists, 1963 Complex Angular Momenta and Particle Physics...
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.
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About the author (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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