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Scalar Quantum Field Theory in Disordered Media

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arxiv 1103.3551 v1 pith:TYSPDKIF submitted 2011-03-18 hep-th cond-mat.dis-nn

E. Arias , E. Goulart , G. Krein , G. Menezes , N.F. Svaiter This is my paper · ORCID
classification hep-thcond-mat.dis-nn
keywords disorderedfieldrandomscalartheoryfunctionsmediaquantum
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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 $\lambda\phi^{4}$ self-interacting theory with a frequency-dependent coupling.

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  1. Analog model for Euclidean wormholes: Bose-Einstein condensate with dirty surfaces

    gr-qc 2024-12 reject novelty 4.0 of 10

    Random surface fields in a Bose-Einstein condensate are claimed to generate non-local effective interactions that mimic Euclidean wormholes, with a disorder-induced Casimir pressure as the leading consequence.

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