Spontaneous symmetry breaking in replica field theory

R. Acosta Diaz, G. Menezes, N. F. Svaiter, and C. A. D. Zarro
Phys. Rev. D 96, 065012 – Published 15 September 2017

Abstract

In this paper we discuss a disordered d-dimensional Euclidean λφ4 model. The dominant contribution to the average free energy of this system is written as a series of the replica partition functions of the model. In each replica partition function, using the saddle-point equations and imposing the replica symmetric ansatz, we show the presence of a spontaneous symmetry breaking mechanism in the disordered model. Moreover, the leading replica partition function must be described by a large-N Euclidean replica field theory. We discuss finite temperature effects considering periodic boundary condition in Euclidean time and also using the Landau-Ginzburg approach. In the low temperature regime we prove the existence of N instantons in the model.

  • Received 17 May 2017

DOI:https://doi.org/10.1103/PhysRevD.96.065012

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsParticles & Fields

Authors & Affiliations

R. Acosta Diaz1,*, G. Menezes1,2,†, N. F. Svaiter1,‡, and C. A. D. Zarro3,§

  • 1Centro Brasileiro de Pesquisas Físicas, 22290-180 Rio de Janeiro, Rio de Janeiro, Brazil
  • 2Grupo de Física Teórica e Matemática Física, Departamento de Física, Universidade Federal Rural do Rio de Janeiro, 23897-000 Seropédica, Rio de Janeiro, Brazil
  • 3Instituto de Física, Universidade Federal do Rio de Janeiro, 21941-972 Rio de Janeiro, Rio de Janeiro, Brazil

  • *racosta@cbpf.br
  • gabrielmenezes@ufrrj.br
  • nfuxsvai@cbpf.br
  • §carlos.zarro@if.ufrj.br

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Issue

Vol. 96, Iss. 6 — 15 September 2017

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