On the scalar tachyons creation in noncommutative de Sitter space-time

TL;DR

This paper studies how noncommutativity in de Sitter space affects scalar tachyon production, showing it reduces effective temperature and mimics electric field effects, with a thermal spectrum of created particles.

Contribution

It provides a novel analysis of tachyon creation in noncommutative de Sitter space, revealing the influence of noncommutativity on particle production mechanisms.

Findings

Tachyon spectrum follows a thermal distribution.

Noncommutativity reduces the effective temperature of tachyon production.

The noncommutative parameter acts like an electric field in particle creation.

Abstract

We investigate tachyon production in noncommutative de Sitter space by solving the deformed Klein-Gordon equation. Using the Bogoliubov transformation method, we compute the number density of created scalar tachyons and demonstrate that their spectrum follows a thermal distribution. Our analysis reveals that noncommutativity reduces the effective temperature of tachyon production, analogous to its effect on ordinary particle creation. Furthermore, we establish that the role of the noncommutative parameter in tachyon production is functionally equivalent to that of an electric field in standard particle production in de Sitter space.