Quantum Field Theory Of Point Particles And Strings: 1st Edition (Paperback) book cover

Quantum Field Theory Of Point Particles And Strings

1st Edition

By Brian Hatfield

CRC Press

756 pages

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Paperback: 9780201360790
pub: 1998-04-23
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pub: 2018-03-09
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Description

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 Schr�dinger, 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.

Table of Contents

Point Particles * Introduction: Phenomenology Overview * First to Second Quantization * Free Scalar Field Theory * Free Spinor Field Theory * Quantization of the Electromagnetic Field * Self-Interacting Scalar Field Theory * Spinor Quantum Electrodynamics * Functional Calculus * Free Fields in the Schrdinger Representation * Interacting Fields in the Schrdinger Representation * Path Integral Representation of Quantum Mechanics * Path Integrals in Free Field Theory * Interacting Fields and Path Integrals * Yang-Mills and Faddeev-Popov * Hiding the Infinities * Renormalization of QED at 1-Loop * The Effective Action Strings * Basic Ideas and Classical Theory * First Quantization * The Mathematics of Surfaces * Polykovs Integral: The Partition Function for Genus 0 * Higher-Genus Integrals * Scattering Amplitudes * Noncritical Dimensions * Introduction to Superstrings

About the Series

Frontiers in Physics

This long-standing, widely respected series was founded in 1961 in an effort to put forward coherent works that summarize developments in the most active and interesting areas of physics. It continues to serve that need, including textbooks, monographs, lecture notes, and professional manuals that aid in offering synthetic, authoritative accounts of the present state of the art in key subject areas of wide interest to physicists. The caliber of authors published in the series speaks to the high standards of its publication: R. P. Feynman, D. Pines, L. P. Kadanoff, R. Hofstadter, J. Schwinger, and many others.

New books in the series are commissioned by invitation. Authors are also welcome to contact the publisher, Lou Chosen, Executive Editor, lou.chosen@taylorandfrancis.com, to discuss new title ideas.

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Subject Categories

BISAC Subject Codes/Headings:
SCI055000
SCIENCE / Physics