Holonomic quantum fields IV

Holonomic quantum fields IV
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完整量子场 IV

DOI:
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发表时间:
1979
期刊:
影响因子:
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通讯作者:
M. Jimbo
M. Jimbo
中科院分区:
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文献类型:
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作者:
Masasada Sato;T. Miwa;M. Jimbo

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这是我们关于完整量子场系列论文的第四部分,[1],[2]和[3]。在第一章中,我们准备了正交向量空间中的旋转理论,在第二章中,我们利用它来解决黎曼-希尔伯特问题。在第三章中,我们发展了二维欧氏Klein-Gordon方程和Dirac方程的多值解的变形理论。本章讨论二维时空中的算子理论。第4节. 1我们构造了完整量子场(pB(a)),它与中性自由玻色场满足下列对易关系
This is the fourth part in our series of papers on Holonomic Quantum Fields, [1], [2] and [3]. In I we prepared the theory of rotation in orthogonal vector spaces, and in II we exploited it to solve the Riemann-Hilbert problem. In III we developed the deformation theory of multivalued solutions of the 2dimensional Euclidean Klein-Gordon and Dirac equations. The present chapter deals with the operator thoery in 2-dimensional space-time. In Section 4. 1 we construct the holonomic quantum field (pB(a) satisfying the following commutation relations with the neutral free Bose field