Cosmological power spectrum in a noncommutative spacetime

被引:3
|
作者
Kothari, Rahul [1 ]
Rath, Pranati K. [2 ]
Jain, Pankaj [1 ]
机构
[1] Indian Inst Technol, Dept Phys, Kanpur 208016, Uttar Pradesh, India
[2] Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
关键词
BLACK-BODY RADIATION; ANISOTROPY; ASYMMETRY; WMAP; SKY; TEMPERATURE; PROPAGATION; INFLATION; ISOTROPY;
D O I
10.1103/PhysRevD.94.063531
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We propose a generalized star product that deviates from the standard one when the fields are considered at different spacetime points by introducing a form factor in the standard star product. We also introduce a recursive definition by which we calculate the explicit form of the generalized star product at any number of spacetime points. We show that our generalized star product is associative and cyclic at linear order. As a special case, we demonstrate that our recursive approach can be used to prove the associativity of standard star products for same or different spacetime points. The introduction of a form factor has no effect on the standard Lagrangian density in a noncommutative spacetime because it reduces to the standard star product when spacetime points become the same. We show that the generalized star product leads to physically consistent results and can fit the observed data on hemispherical anisotropy in the cosmic microwave background radiation.
引用
收藏
页数:10
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