Abstract
In this paper we discuss a disordered -dimensional Euclidean 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- 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 instantons in the model.
- Received 17 May 2017
DOI:https://doi.org/10.1103/PhysRevD.96.065012
© 2017 American Physical Society