Production of spin 3/2 particles from vacuum fluctuations
Antonio L. Maroto, Anupam Mazumdar
TL;DR
This work studies the production of spin 3/2 particles in homogeneous scalar and gravitational backgrounds using the mode-mixing Bogolyubov method and reduces the problem to a standard Dirac fermion calculation and applies standard techniques in a straightforward way.
Abstract
We study the production of spin 3/2 particles in homogeneous scalar and gravitational backgrounds from the mode-mixing Bogolyubov method. Considering only helicity $\pm 3/2$ states we can reduce the problem to a standard Dirac fermion calculation and apply the standard techniques in a straightforward way. As an example we consider a supergravity inflationary model and calculate the spectrum of gravitinos created during preheating at the end of inflation.