Infinite Volume Limits in Euclidean Quantum Field Theory via Stereographic Projection

Zahariev Svetoslav

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Infinite Volume Limits in Euclidean Quantum Field Theory via Stereographic Projection

机译：通过立体投影欧几里德量子场理论的无限量限制

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We present a general infinite volume limit construction of probability measures obeying the Glimm-Jaffe axioms of Euclidean quantum field theory in arbitrary space-time dimension. In particular, we obtain measures that may be interpreted as corresponding to scalar quantum fields with arbitrary bounded continuous self-interaction. It remains, however, an open problem whether this general construction contains non-Gaussian measures.

机译：我们展示了一般的无限量限制概率测量遵守欧几里德量子场理论中的欧洲空间时间尺寸的辉光仲裁公理。特别地，我们获得可以被解释为对应于标量量子字段的测量，具有任意有界的连续自交互。然而，它仍然是这种一般施工含有非高斯措施的公开问题。

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《Annales Henri Poincare》 |2018年第11期|共21页
作者
Zahariev Svetoslav;
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作者单位

CUNY LaGuardia Community Coll MEC Dept 31-10 Thomson Ave Long Isl City NY 11101 USA;

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正文语种 eng
中图分类理论物理学;
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专利

1. Infinite Volume Limits in Euclidean Quantum Field Theory via Stereographic Projection [J] . Zahariev Svetoslav Annales Henri Poincare . 2018,第11期

机译：通过立体投影欧几里德量子场理论的无限量限制
2. Representing Euclidean Quantum Fields as Scaling Limit of Particle Systems [J] . Sergio Albeverio, Hanno Gottschalk, Minoru W. Yoshida Journal of Statistical Physics . 2002,第1a2期

机译：将欧几里德量子场表示为粒子系统的缩放极限
3. Representing Euclidean quantum fields as scaling limit of particle systems [J] . Albeverio S., Gottschalk H., Yoshida MW. Journal of Statistical Physics . 2002,第1a2期

机译：将欧几里德量子场表示为粒子系统的缩放极限
4. Stereographic projection for industrial manipulator tasks: Theory and experiments [C] . Bjerkeng Magnus, Pettersen Kristin Y., Kyrkjebo Erik 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems . 2011

机译：工业机械手任务的立体投影：理论和实验
5. Euclidean quantum field theory: Curved spacetimes and gauge fields. [D] . Ritter, William Gordon. 2007

机译：欧几里德量子场论：弯曲的时空和规范场。
6. Variational structure of Luttinger–Ward formalism and bold diagrammatic expansion for Euclidean lattice field theory [O] . Lin Lin, Michael Lindsey 2018

机译：欧氏格场理论的Luttinger-Ward形式主义的变体结构和粗体图解展开
7. On scaling limits in Euclidean quantum field theory [O] . Zahariev, Svetoslav 2017

机译：欧氏量子场论中的尺度限制
8. Quantum Field Theory with Infinite Component Local Fields as an Alternative to the String Theories [R] . Krasnikov, N. V. 1987

机译：量子场理论与无限分量局部场作为弦理论的替代

Infinite Volume Limits in Euclidean Quantum Field Theory via Stereographic Projection

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