PCT, Spin and Statistics, and All That pdf epub mobi txt 电子书下载 2024

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Raymond F. Streater

Princeton University Press

2000-12-15

210

USD 29.95

Paperback

Princeton Landmarks in Mathematics and Physics

9780691070629

图书标签: 物理公理化量子场论量子场论美国物理學物理QFT 物理-哲学未讀

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发表于2024-12-23

PCT, Spin and Statistics, and All That epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

PCT, Spin and Statistics, and All That pdf epub mobi txt 电子书下载 2024

图书描述

"PCT, Spin and Statistics, and All That" is the classic summary of and introduction to the achievements of Axiomatic Quantum Field Theory. This theory gives precise mathematical responses to questions like: What is a quantized field? And what are the physically indispensable attributes of a quantized field? Furthermore, Axiomatic Field Theory shows that a number of physically important predictions of quantum field theory are mathematical consequences of the axioms. Here Raymond Streater and Arthur Wightman treat only results that can be rigorously proved, and these are presented in an elegant style that makes them available to a broad range of physics and theoretical mathematics.

PCT, Spin and Statistics, and All That 下载 mobi epub pdf txt 电子书

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PCT, Spin and Statistics, and All That pdf epub mobi txt 电子书下载

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用户评价

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翻译了中译本，已经译完。正如Wightman在开篇中说的，本书只收录了那些他认为值得传世的结论。这本书几乎是公理化场论的必读之作，其中的很多证明非常优美。对Reeh-Schleider定理、PCT定理、自旋统计定理和Haag定理的证明展现了局域量子场论的深刻性。尽管Haag定理经常被实用主义理论物理学家们所不屑（我们几乎所有有实际意义的结果都依赖于相互作用表象），书中对它的解释，清晰地指出了定理与无穷维量子系统的对易关系存在无穷多不等价幺正表示之间的联系。这些干净的结果，直接影响着我们对Causality, Locality和Unitarity这些被奉为金科玉律的原理的思考。而一些先行者的尝试已经或多或少地暗示了，这三点在量子引力中很有可能是不相容的。

评分☆☆☆☆☆

本书公理系统所描述的Relativistic QFT实为有限UV/IR regulator的场论在重整化后的连续/热力学极限。然而只保证 Renormalized Wightman functions之收敛，而决不覆盖Hamiltonian/Hilbert space结构以及Wave functions，纵几无UV发散如1+1 phi ^4。可知Haag theorem和微扰计算所使用的有限regulator理论的interaction picture并无矛盾。之所以存在误解者，忽视regularity壁垒也。另，极限之存在性高度非平庸，少数被证明的实例亦在QFT领域最高成就之列。

评分☆☆☆☆☆

Wightman Axioms and its theoretical consequences. "We have eliminated all theorems whose proofs are non-existent" sounds really cool!

评分☆☆☆☆☆

Wightman Axioms and its theoretical consequences. "We have eliminated all theorems whose proofs are non-existent" sounds really cool!