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arXiv 2005.12610hep-thmath-phmath.MP
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Snyder空间中的Casimir效应

Casimir effect in Snyder Space

S. A. Franchino-Viñas, S. Mignemi

摘要:

我们表明,在Casimir效应中发生的发散的两个不可区分的方面,即高次模能量的发散和动量空间的非紧性,在给定的非对易设置中得到解开。为此,我们考虑反Snyder空间中两平行板之间的标量场。此外,在这种非对易的设置中,大质量衰变不一定是指数的。

英文摘要:

We show that two indistinguishable aspects of the divergences occurring in the Casimir effect, namely the divergence of the energy of the higher modes and the non-com\-pact\-ness of the momentum space, get disentangled in a given noncommutative setup. To this end, we consider a scalar field between two parallel plates in an anti-Snyder space. Additionally, the large mass decay in this noncommutative setup is not necessarily exponential.

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