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arXiv · 1507.01472

Production of Dirac particle in a deformed Minkowsky space-time

Dine Ousmane Samary·Sêcloka Lazare Guedezounme·Antonin Kanfon
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Abstract

In this paper we study the Dirac field theory interacting with external gravitation field, described with tetrad of the form $e_b^\mu(x)=\varepsilon(\delta_b^\mu+\omega_{ba}^\mu x^a)$, where $\varepsilon=1$ for $\mu=0$ and $\varepsilon=i$ for $\mu=1,2,3.$ The probability density of the vacuum-vacuum pair creation is given. In particular case of vanishing electromagnetic fields, we point out how this deformation modify the amplitude transition. The corresponding Dirac equation is solved.

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Dine Ousmane Samary, Sêcloka Lazare Guedezounme, Antonin Kanfon. 2015-07-06. Production of Dirac particle in a deformed Minkowsky space-time. https://arxiv.org/abs/1507.01472

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