  The effect of string and quantum gravity inspired minimum-length deformed
quantization on a free, massless scalar field is studied on de Sitter
background at the level of second quantization. Analytic solution of a field
operator is obtained to the first order in deformation parameter. Using this
solution we then estimate the two point and four point correlation functions
(with respect to the Bunch-Davies vacuum). The field operator shows up a
non-linear dependence on creation and annihilation operators, therefore the
perturbation spectrum proves to be non-Gaussian. The correction to the power
spectrum is of the same order as obtained previously in a similar study that
incorporates the minimum-length deformed momentum operator into the first
quantization picture and then proceeds in the standard way for second
quantization. The non-Gaussianity comes at the level of four point correlation
function; its magnitude appears to be suppressed by the factor $\sim\exp(-6N)$,
where $N$ is the number of e-foldings.

General Relativity and Quantum Cosmology;High Energy Physics - Theory