Groenewold-Moyal product, α☆-cohomology, and classification of translation-invariant non-commutative structures

被引：4
|
作者：
Varshovi, Amir Abbass [1 ,2 ]
机构：
[1] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran
[2] Inst Res Fundamental Sci IPM, Sch Phys, Tehran, Iran
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 54卷 / 07期
关键词：
SPACE;
D O I：
10.1063/1.4809939
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The theory of alpha*-cohomology is studied thoroughly and it is shown that in each cohomology class there exists a unique 2-cocycle, the harmonic form, which generates a particular Groenewold-Moyal star product. This leads to an algebraic classification of translation-invariant non-commutative structures and shows that any general translation-invariant non-commutative quantum field theory is physically equivalent to a Groenewold-Moyal non-commutative quantum field theory. (C) 2013 AIP Publishing LLC.
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页数：9
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