Production of Dirac particle in a deformed Minkowsky space-time

Abstract

In this paper we study the Dirac field theory interacting with external gravitation field, described with tetrad of the form $e_b^{\mu }(x)=\epsilon ({\delta }_b^{\mu }+{\omega }_{ba}^{\mu }{x}^a)$, where $\epsilon =1$ for $\mu =0$ and $\epsilon =i$ 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.

07 pages

References in corpus (5)

• Quantum Field Theory on Curved Backgrounds -- A Primer
• Particle creation from the vacuum by an exponentially decreasing electric field
• Einstein's vierbein field theory of curved space
• Higher Spin Quantum Fields as Twisted Dirac Fields
• Dirac Quantum Field on Curved Spacetime: Wick Rotation