John C Baez

(Author)

Introduction to Algebraic and Constructive Quantum Field TheoryPaperback, 14 July 2014

Introduction to Algebraic and Constructive Quantum Field Theory
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Part of Series
Princeton Series in Physics
Part of Series
Princeton Legacy Library
Part of Series
Princeton Physics
Part of Series
Princeton Physics, 47
Part of Series
Princeton Legacy Library, 174
Print Length
310 pages
Language
English
Publisher
Princeton University Press
Date Published
14 Jul 2014
ISBN-10
0691605122
ISBN-13
9780691605128

Description

The authors present a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. Their aim is to correlate modern mathematical theory with the explanation of the observed process of particle production and of particle-wave duality that heuristic quantum field theory provides. Many topics are treated here in book form for the first time, from the origins of complex structures to the quantization of tachyons and domains of dependence for quantized wave equations. This work begins with a comprehensive analysis, in a universal format, of the structure and characterization of free fields, which is illustrated by applications to specific fields. Nonlinear local functions of both free fields (or Wick products) and interacting fields are established mathematically in a way that is consistent with the basic physical constraints and practice. Among other topics discussed are functional integration, Fourier transforms in Hilbert space, and implementability of canonical transformations. The authors address readers interested in fundamental mathematical physics and who have at least the training of an entering graduate student. A series of lexicons connects the mathematical development with the underlying physical motivation or interpretation. The examples and problems illustrate the theory and relate it to the scientific literature.

Originally published in 1992.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Product Details

Authors:
John C BaezIrving E SegalZhengfang Zhou
Book Format:
Paperback
Country of Origin:
US
Date Published:
14 July 2014
Dimensions:
23.39 x 15.6 x 1.65 cm
ISBN-10:
0691605122
ISBN-13:
9780691605128
Language:
English
Location:
Princeton
Pages:
310
Weight:
435.45 gm

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