期刊
MODERN PHYSICS LETTERS A
卷 25, 期 33, 页码 2805-2813出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217732310034158
关键词
Minimal length; QFT on curved space; transplanckian problem
资金
- Fond National Suisse
We consider the coherent state approach to noncommutativity and we derive from it an effective quantum scalar field theory. We show how the noncommutativity can be taken into account by a suitable modification of the Klein-Gordon product, and of the equal-time commutation relations. We prove that, in curved space, the Bogoliubov coefficients are unchanged, hence the number density of the produced particle is the same as for the commutative case. What changes though is the associated energy density, and this offers a simple solution to the transplanckian problem.
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