α~?-cohomology, and classification of translation-invariant non-commutative quantum field theories

Amir Abbass Varshovi

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α~?-cohomology, and classification of translation-invariant non-commutative quantum field theories

机译：α〜？-同调性和平移不变的非交换量子场论的分类

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摘要

Translation-invariant ? products are studied in the setting of α~?-cohomology. It is explicitly shown that all quantum behaviors including Green’s functions and the scattering matrix of translation-invariant non-commutative quantum field theories are thoroughly characterized by α~?-cohomology classes of the star products.

机译：平移不变的？在α〜β-同调背景下研究产物。明确地表明，所有的量子行为，包括格林函数和平移不变的非交换量子场论的散射矩阵，都由星积的α〜β-同调类彻底表征。

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《Journal of geometry and physics》 |2014年第null期|共16页
作者
Amir Abbass Varshovi;
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正文语种 eng
中图分类数学物理方法;几何、拓扑;
关键词
Non-commutative quantum field theory; Translation-invariant star products; α~?-cohomology; Quantum equivalence theorem;

机译：非对易量子场理论;平移恒星积;α〜α-同调;量子等价定理;

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1. α~?-cohomology, and classification of translation-invariant non-commutative quantum field theories [J] . Amir Abbass Varshovi Journal of geometry and physics . 2014,第Null期

机译：α〜？-同调性和平移不变的非交换量子场论的分类
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机译：非交换规范域的平移不变模型
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6. Response to Commentary on Force-field functor theory: classical force-fields which reproduce equilibrium quantum distributions [O] . Ryan Babbush, John A. Parkhill, Alán Aspuru-Guzik 2013

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7. String field theory, non-commutative Chern-Simons theory and Lie algebra cohomology [O] . Gross, David J, Periwal, V 2001

机译：弦场理论，非交换Chern-Simons理论和李代数同调
8. Finite 4D Quantum Field Theory in Non-Commutative Geometry [R] . Grosse, H., Klimcik, C., Presnajder, P. 1996

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α~?-cohomology, and classification of translation-invariant non-commutative quantum field theories

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