A Covariant Approach for Particle Creation in Non-flat Background

For the first time, we choose non-flat vacuum mode for background spacetime based on the minimum number of created particles during early non-de Sitter inflation. In conventional methods for calculating the number of created particles, the flat background is selected automatically and causes a negative number problem for created particles during asymptotic-de Sitter inflation. In a covariant approach to curved spacetime, both real and background spacetimes should be selected, curved and consequently the relation for particle creation should be modify. As an interesting finding from this research, flat space does not include minimum number of particles and there are some asymptotic de Sitter spacetimes with fewer number. Therefore, in the generalized formula for particle creation, we choose a non-flat background containing the minimum number of created particles.

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Dirac-particle creation by gravitational fields

Physical Review D ◽

10.1103/physrevd.16.3418 ◽

1977 ◽

Vol 16 (12) ◽

pp. 3418-3420 ◽

Cited By ~ 3

Author(s):

M. Martellini

Keyword(s):

Particle Creation ◽

Dirac Particle ◽

Gravitational Fields

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Particle creation and quadratic deceleration parameter in Lyra geometry

New Astronomy ◽

10.1016/j.newast.2020.101563 ◽

2021 ◽

Vol 85 ◽

pp. 101563

Author(s):

Binaya K. Bishi ◽

Pratik V. Lepse

Keyword(s):

Deceleration Parameter ◽

Particle Creation ◽

Lyra Geometry

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Vacuum polarization and particle creation in the presence of a potential step

International Journal of Modern Physics A ◽

10.1142/s0217751x16410311 ◽

2016 ◽

Vol 31 (02n03) ◽

pp. 1641031 ◽

Cited By ~ 2

Author(s):

S. P. Gavrilov ◽

D. M. Gitman

Keyword(s):

Electric Potential ◽

Canonical Quantization ◽

Particle Creation ◽

Pair Creation ◽

Dirac Field ◽

Potential Step ◽

Electron Positron ◽

Physical Impact ◽

Particle Interpretation ◽

Electron Positron Pair

We consider QED with strong external backgrounds that are concentrated in restricted space areas. The latter backgrounds represent a kind of spatial x-electric potential steps for charged particles. They can create particles from the vacuum, the Klein paradox being closely related to this process. We describe a canonical quantization of the Dirac field with x-electric potential step in terms of adequate in- and out-creation and annihilation operators that allow one to have consistent particle interpretation of the physical system under consideration and develop a nonperturbative (in the external field) technics to calculate scattering, reflection, and electron-positron pair creation. We resume the physical impact of this development.

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