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

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 GEOMETRY AND PHYSICS | 2014年 / 83卷
关键词：
Non-commutative quantum field theory; Translation-invariant star products; alpha*-cohomology; Quantum equivalence theorem; DEFORMATION-THEORY; QUANTIZATION; BRANES;
D O I：
10.1016/j.geomphys.2014.05.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Translation-invariant star products are studied in the setting of alpha*-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 alpha*-cohomology classes of the star products. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：53 / 68
页数：16
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