<p>In this paper, we study the noncommutative Dirac field in (1+1)-dimensional Rindler spacetime. An exact solution to the wave equation is obtained. Using Bogoliubov transformations, the pair creation probability and the density of created particles are calculated. Our results show that, in a noncommutative curved spacetime background, the rate of particle creation is inversely proportional to the noncommutativity scale in a manner consistent with the principles of quantum mechanics.</p>

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Exact Solutions of Noncommutative Dirac Field in 2D Rindler Spacetime and Pair Production Process

  • Sabrine Terriche,
  • Lamine Khodja

摘要

In this paper, we study the noncommutative Dirac field in (1+1)-dimensional Rindler spacetime. An exact solution to the wave equation is obtained. Using Bogoliubov transformations, the pair creation probability and the density of created particles are calculated. Our results show that, in a noncommutative curved spacetime background, the rate of particle creation is inversely proportional to the noncommutativity scale in a manner consistent with the principles of quantum mechanics.