Construction of Wedge-Local Nets of Observables through Longo-Witten Endomorphisms. II
Construction of Wedge-Local Nets of Observables through Longo-Witten Endomorphisms. II
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通过 Longo-Witten 自同态构建可观测量的楔局部网络。
DOI：
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发表时间：
2011
影响因子：
2.4
通讯作者：
Yoh Tanimoto
中科院分区：
文献类型：
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作者：
M. Bischoff;Yoh Tanimoto
在第一部分中，我们构造了冯·诺依曼代数的几个相互作用楔形局域网族。特别是，我们发现了一个基于U(1)-current代数documentclass[12pt]{minimal} uspackageamsmath{ uspackagewasysym} uspackageamsfonts {uspackageamssymb} uspackageamssy{ uspackagemathrsfs }uspackageupgreek{ setlengthoddsidemargin}-69pt{ }egindocument{}{}{}{}{}$${mathcal{A} ^{(0)}}$$ enddocument的模型族。在第二部分中，我们进一步研究了自同态和相互作用模型。其关键成分是自由无质量费米子网，它包含U(1)电流网作为相对于U(1)规范作用的固定点子网。通过对子网的限制，我们在documentclass[12pt]minimal uspackageamsmath {uspackagewasysym }uspackageamsfonts{ uspackageamssymb} uspackageamssy{ uspackageamsfs uspackageupgreek} setlengthoddsidemargin{-69pt} egindocument {}{}{}{}{}{}{}{}$${mathcal{A} ^{(0)}}$$ enddocument上构造了一个新的lono - witten自同态，{并由此}在二维时空中相互作用楔形局域网络。U(1)电流网允许粒子数的结构，所构建模型的s矩阵混合了玻色子Fock空间中不同粒子数的空间。
In the first part, we have constructed several families of interacting wedge-local nets of von Neumann algebras. In particular, we discovered a family of models based on the endomorphisms of the U(1)-current algebra documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$${mathcal{A} ^{(0)}}$$end{document} of Longo-Witten. In this second part, we further investigate endomorphisms and interacting models. The key ingredient is the free massless fermionic net, which contains the U(1)-current net as the fixed point subnet with respect to the U(1) gauge action. Through the restriction to the subnet, we construct a new family of Longo-Witten endomorphisms on documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$${mathcal{A} ^{(0)}}$$end{document} and accordingly interacting wedge-local nets in two-dimensional spacetime. The U(1)-current net admits the structure of particle numbers and the S-matrices of the models constructed here do mix the spaces with different particle numbers of the bosonic Fock space.
一类无质量相对论量子场论的渐近完备性
影响因子：
2.4
作者：
W. Dybalski;Y. Tanimoto
通讯作者：
Y. Tanimoto