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Scalar quantum field theory in disordered media

E. Arias1,*, E. Goulart1,†, G. Krein2,‡, G. Menezes2,§, and N. F. Svaiter1,∥

  • 1Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, 22290-180 Rio de Janeiro, RJ, Brazil
  • 2Instituto de Física Teórica, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz 271–Bloco II, 01140-070 São Paulo, SP, Brazil

  • *enrike@cbpf.br
  • †egoulart@cbpf.br
  • ‡gkrein@ift.unesp.br
  • §gsm@ift.unesp.br
  • ∥nfuxsvai@cbpf.br
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Phys. Rev. D 83, 125022 – Published 21 June, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.125022

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 a disordered medium modeled by centered stationary and Gaussian processes is analyzed. After performing the averages over the random functions, we obtain the two-point and the four-point Green’s functions of the model up to one loop. The disordered scalar quantum field theory becomes qualitatively similar to a λφ4 self-interacting theory with a frequency-dependent coupling.

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Phys. Rev. D 83, 125022– Published 21 June, 2011
  • Received 11 March 2011

© 2011 American Physical Society

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