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