Scalar Quantum Field Theory in Disordered Media
High Energy Physics - Theory
2011-07-05 v1 Disordered Systems and Neural Networks
Abstract
A free massive scalar field in inhomogeneous random media is investigated. The coefficients of the Klein-Gordon equation are taken to be random functions of the spatial coordinates. The case of an annealed-like disordered medium, modeled by centered stationary and Gaussian processes, is analyzed. After performing the averages over the random functions, we obtain the two-point causal Green's function of the model up to one-loop. The disordered scalar quantum field theory becomes qualitatively similar to a self-interacting theory with a frequency-dependent coupling.
Cite
@article{arxiv.1103.3551,
title = {Scalar Quantum Field Theory in Disordered Media},
author = {E. Arias and E. Goulart and G. Krein and G. Menezes and N. F. Svaiter},
journal= {arXiv preprint arXiv:1103.3551},
year = {2011}
}