2014/06/09 by Mariano Franco, Esteban Calzetta
Earth and Planetary Sciences · Physics and Astronomy · #Random lasers and scattering media #Scientific Research and Discoveries #Underwater Acoustics Research #physics.class-ph
paper · pdf · doi:10.1088/1751-8113/48/4/045206
arxiv created 2014/06/09 · openalex publication_date 2015/01/05 · arxiv updated 2015/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We develop a compact perturbative series for acoustic wave propagation in a medium with a non-Gaussian stochastic speed of sound. We use Martin-Siggia and Rose auxiliary field techniques to render the classical wave propagation problem into a 'quantum' field theory one, and then frame this problem within the so-called Schwinger-Keldysh of closed time-path (CTP) formalism. Variation of the so-called two-particle irreducible (2PI) effective action (EA), whose arguments are both the mean fields and the irreducible two point correlations, yields the Schwinger-Dyson and the Bethe-Salpeter equations. We work out the loop expansion of the 2PI CTP EA and show that, in the paradigmatic problem of overlapping spherical intrusions in an otherwise homogeneous medium, non-Gaussian corrections might be much larger than Gaussian ones at the same order of loops.