Angles in fuzzy disc and angular noncommutative solitons

被引：4

作者：

Kobayashi, Shinpei ^{[1
]}

Asakawa, Tsuguhiko ^{[2
]}

机构：

[1] Gunma Natl Coll Technol, Dept Phys, Maebashi, Gunma 3718530, Japan

[2] Tohoku Univ, Grad Sch Sci, Dept Phys, Sendai, Miyagi 9808578, Japan

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2013年 / 04期

关键词：

Non-Commutative Geometry; Models of Quantum Gravity; Tachyon Condensation; D-branes; PHASE-OPERATOR; EDGE STATES; MOMENTUM; NUMBER;

D O I：

10.1007/JHEP04(2013)145

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

The fuzzy disc, introduced by the authors of [1], is a disc-shaped region in a noncommutative plane, and is a fuzzy approximation of a commutative disc. In this paper we show that one can introduce a concept of angles to the fuzzy disc, by using the phase operator and phase states known in quantum optics. We gave a description of the fuzzy disc in terms of operators and their commutation relations, and studied properties of angular projection operators. A similar construction for the fuzzy annulus is also given. As an application, we constructed fan-shaped soliton solutions of a scalar field theory on the fuzzy disc. We also applied this concept to the theory of noncommutative gravity we proposed in [2]. In addition, possible connections to some systems in physics are suggested.

引用

页数：22

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