Abstract
The production of scalar particles by the dipole magnetic field in de Sitter expanding universe is analyzed. The amplitude and probability of transition are computed using perturbative methods. A graphical study of the transition probability is performed obtaining that the rate of pair production is important in the early universe. Our results prove that in the process of pair production by the external magnetic field the momentum conservation law is broken. We also found that the probabilities are maximum when the particles are emitted perpendicular to the direction of magnetic dipole momentum. The total probability is computed and is analysed in terms of the angle between particles momenta.
Highlights
In this paper we will study the problem of scalar pair production in dipolar magnetic field on de Sitter geometry
We present in this paper the first perturbative approach to the problem of scalar pair production in a magnetic field in a de Sitter geometry
The main result of our paper is related to the fact that the first order transition amplitude and probability are nonvanishing only in strong gravitational fields that corresponds in our case to the early universe conditions
Summary
In this paper we will study the problem of scalar pair production in dipolar magnetic field on de Sitter geometry. We will use the perturbative methods presented in [11,12,13,14,15,16,17,18,19,20,21], for computing the amplitude/probability of scalar pair production in magnetic field on de Sitter expanding universe. Some time ago is was argued [12], that the production due to the field interactions should be taken into consideration Despite of this observation, the perturbative approach only recently received attention and the results are based on the calculations of QED transition amplitudes that generates particle production in a curved background [13,14,20].
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