Particle production and transplanckian problem on the non-commutative plane

Details Particle production and transplanckian problem on the non-commutative plane Particle production and transplanckian problem on the non-commutative plane

2010-03-11

arxiv.org/abs/1003.2408v4

Mod. Phys. Lett. A, 25 33 (2010) 2805

Physics

High Energy Physics

High Energy Physics - Theory

Minor typos corrected, references added. Accepted for publication by Modern Physics Letter A

Scientific paper

We consider the coherent state approach to non-commutativity, and we derive from it an effective quantum scalar field theory. We show how the non-commutativity can be taken in account by a suitable modification of the Klein-Gordon product, and of the equal-time commutation relations. We prove that, in curved space, the Bogolubov 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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