Scalar Quantum Field Theory in Disordered Media

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 $\lambda {\varphi }^4$ self-interacting theory with a frequency-dependent coupling.

References in corpus (6)

• Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed Gas
• Entanglement Entropy and Mutual Information Production Rates in Acoustic Black Holes
• Nonlinear coherent transport of waves in disordered media
• Enhanced Black Hole Horizon Fluctuations
• Limits to the analogue Hawking temperature in a Bose-Einstein condensate
• Enhanced Geometry Fluctuations in Minkowski and Black Hole Spacetimes