PCT, Spin and Statistics, and All That pdf epub mobi txt 電子書下載2025

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出版者:Princeton University Press

作者:Raymond F. Streater

出品人:

頁數:210

译者:

出版時間:2000-12-15

價格:USD 29.95

裝幀:Paperback

isbn號碼:9780691070629

叢書系列:Princeton Landmarks in Mathematics and Physics

圖書標籤:

物理
公理化量子場論
量子場論
美國
物理學
物理QFT
物理-哲學
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"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.

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翻譯瞭中譯本，已經譯完。正如Wightman在開篇中說的，本書隻收錄瞭那些他認為值得傳世的結論。這本書幾乎是公理化場論的必讀之作，其中的很多證明非常優美。對Reeh-Schleider定理、PCT定理、自鏇統計定理和Haag定理的證明展現瞭局域量子場論的深刻性。盡管Haag定理經常被實用主義理論物理學傢們所不屑（我們幾乎所有有實際意義的結果都依賴於相互作用錶象），書中對它的解釋，清晰地指齣瞭定理與無窮維量子係統的對易關係存在無窮多不等價幺正錶示之間的聯係。這些乾淨的結果，直接影響著我們對Causality, Locality和Unitarity這些被奉為金科玉律的原理的思考。而一些先行者的嘗試已經或多或少地暗示瞭，這三點在量子引力中很有可能是不相容的。

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本書公理係統所描述的Relativistic QFT實為有限UV/IR regulator的場論在重整化後的連續/熱力學極限。然而隻保證 Renormalized Wightman functions之收斂，而決不覆蓋Hamiltonian/Hilbert space結構以及Wave functions，縱幾無UV發散如1+1 phi ^4。可知Haag theorem和微擾計算所使用的有限regulator理論的interaction picture並無矛盾。之所以存在誤解者，忽視regularity壁壘也。另，極限之存在性高度非平庸，少數被證明的實例亦在QFT領域最高成就之列。

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

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

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