Noncommutative Theories and Gravity

Noncommutative Theories and Gravity
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非交换理论和引力

DOI:
10.22323/1.013.0029
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发表时间:
2004
期刊:
Nuclear Physics
影响因子:
--
通讯作者:
V. Rivelles
V. Rivelles
中科院分区:
--
文献类型:
--
作者:
V. Rivelles

文献摘要

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本文综述了非对易场论与引力之间的联系。当Moyal积诱导出非对易性时,我们可以用Seiberg-Witten映射来处理普通场。然后,我们表明,非交换性的效果是相同的依赖于场的引力背景。引力背景是引力平面波,耦合是电荷相关的。不带电的场比带电的场耦合得更强。偏离通常的色散关系进行了讨论,我们表明,它们也是电荷依赖。
We review the connection between noncommutative field theor ies and gravity. When the noncommutativity is induced by the Moyal product we can use the Seiberg-Witten map in order to deal with ordinary fields. We then show that the effect of the n oncommutativity is the same as a field dependent gravitational background. The gravitation al background is that of a gravitational plane wave and the coupling is charge dependent. Uncharged fi elds couple more strongly than the charged ones. Deviations from the usual dispersion relations are discussed and we show that they are also charge dependent.