发表于2025-01-12
PCT, Spin and Statistics, and All That 2025 pdf epub mobi 电子书
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
"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.
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!
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。
PCT, Spin and Statistics, and All That 2025 pdf epub mobi 电子书