Scalar Quantum Field Theory in Disordered Media

Details Scalar Quantum Field Theory in Disordered Media Scalar Quantum Field Theory in Disordered Media

2011-03-18

arxiv.org/abs/1103.3551v1

Phys.Rev.D83:125022,2011

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1103/PhysRevD.83.125022

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

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