Open Questions: Quantum Field Theory

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See also: Mathematics and physics


Introduction

Renormalization

Path integrals

Topological field theory

Conformal field theory


Recommended references: Web sites

Recommended references: Magazine/journal articles

Recommended references: Books

Introduction



Recommended references: Web sites

Site indexes

Open Directory Project: Quantum Field Theory
Categorized and annotated quantum field theory links. A version of this list is at Google, with entries sorted in "page rank" order.
Open Directory Project: Topological Quantum Field Theory
Categorized and annotated topological quantum field theory links. A version of this list is at Google, with entries sorted in "page rank" order.
Open Directory Project: Conformal Quantum Field Theory
Categorized and annotated topological quantum field theory links. A version of this list is at Google, with entries sorted in "page rank" order.
The Net Advance of Physics: Quantum Field Theory
An index of selected tutorial and research articles on quantum field theory located at the physics preprint archive.
Galaxy: Quantum Field Theory
Categorized site directory. Entries usually include descriptive annotations.


Sites with general resources


Surveys, overviews, tutorials

Quantum field theory
Article from Wikipedia. See also Quantum electrodynamics, Path integral forumulation, Functional integration, Feynman diagram, Renormalization group
18.238 Geometry and Quantum Field Theory, Fall 2002
An undergraduate level course of MIT OpenCourseWare, developed by Pavel Etingof. Lecture notes are provided in PDF format. The course "is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals. It covers the basics of classical field theory, free quantum theories and Feynman diagrams. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand talks and papers in QFT and String Theory."
Renormalization Made Easy
Non-technical explanation of "renormalization" in quantum field theory, by John Baez.
Fields
Complete textbook on quantum (and classical) field theory, by Warren Siegel, available in various formats. Includes coverage of recent topics such as supersymmetry, supergravity, and string theory.


Recommended references: Magazine/journal articles

Quantum Field Theory in Ninety Minutes
Paul Federbush
Bulletin of the AMS, July 1987, pp. 93-103
The article developed from a 90-minute seminar lecture for mathematicians with little or no background in physics. It describes several types of QFT at a level accessible to math graduate students. The main emphasis is on the two dimensional p(φ)2 theory.
What Is a Quantum Field Theory
David C. Brydges
Bulletin of the AMS, January 1983, pp. 31-40
The article surveys a small part of the mathematics of quantum field theory. It attempts to present QFT as a natural generalization of Brownian motion and other types of "diffusion".


Recommended references: Books

Tian Y. Cao -- Conceptual Developments of 20th Century Field Theories
Cambridge University Press, 1997
Cao's book is a historical survey of field theory with considerable depth. It covers everything from the basic quantum mechanics and special relativity through efforts to develop a "grand unified" field theory.
Sunny Y. Auyang -- How is Quantum Field Theory Possible?
Oxford University Press, 1995
This philosophical analysis also provides an introduction to the physics of field theory. Includes discussion involving some fairly sophisticated mathematics.

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