The P(φ)[2] Euclidean (quantum) field theory
著者
書誌事項
The P(φ)[2] Euclidean (quantum) field theory
（Princeton series in physics）
Princeton University Press, 1974
- : pbk
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注記
"Based on a series of lectures given at the Seminar für Theoretische Physik of the ETH/EPF - Zurich in the Spring of 1973"--Pref
Bibliography: p. 379-392
内容説明・目次
内容説明
Barry Simon's book both summarizes and introduces the remarkable progress in constructive quantum field theory that can be attributed directly to the exploitation of Euclidean methods. During the past two years deep relations on both the physical level and on the level of the mathematical structure have been either uncovered or made rigorous. Connections between quantum fields and the statistical mechanics of ferromagnets have been established, for example, that now allow one to prove numerous inequalities in quantum field theory.
In the first part of the book, the author presents the Euclidean methods on an axiomatic level and on the constructive level where the traditional results of the P(O)2 theory are translated into the new language. In the second part Professor Simon gives one of the approaches for constructing models of non-trivial, two-dimensional Wightman fields-specifically, the method of correlation inequalities. He discusses other approaches briefly.
Drawn primarily from the author's lectures at the Eidenoessiehe Technische Hochschule, Zurich, in 1973, the volume will appeal to physicists and mathematicians alike; it is especially suitable for those with limited familiarity with the literature of this very active field.
Originally published in 1974.
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