CONSTRUCTION OF TWO-DIMENSIONAL QUANTUM FIELD MODELS THROUGH LONGO–WITTEN ENDOMORPHISMS

CONSTRUCTION OF TWO-DIMENSIONAL QUANTUM FIELD MODELS THROUGH LONGO–WITTEN ENDOMORPHISMS
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通过长维自同态构建二维量子场模型

DOI:
10.1017/fms.2014.3
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发表时间:
2013
期刊:
Forum of Mathematics, Sigma
影响因子:
--
通讯作者:
Yoh Tanimoto
Yoh Tanimoto
中科院分区:
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文献类型:
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作者:
Yoh Tanimoto

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摘要我们给出了用算符-代数方法在二维时空上构造局部的、大规模的和相互作用的Haag-Kastler网族的方法。在不依赖模核的情况下,给出了局部可观测的存在性证明。用类似的方法,利用Longo和Witten最近研究的共形网的某些自同态,构造了另一族楔形局部网。
Abstract We present a procedure for constructing families of local, massive and interacting Haag–Kastler nets on the two-dimensional spacetime through an operator-algebraic method. A proof of existence of local observables is given without relying on modular nuclearity. By a similar technique, another family of wedge-local nets is constructed using certain endomorphisms of conformal nets recently studied by Longo and Witten.
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