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arXiv · 1712.07990

Disordered $\lambda\varphi^{4}+\rho\varphi^{6}$ Landau-Ginzburg model

R. Acosta Diaz·G. Krein·N. F. Svaiter·C. A. D. Zarro
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Abstract

We discuss a disordered $\lambda\varphi^{4}+\rho\varphi^{6}$ Landau-Ginzburg model defined in a d-dimensional space. First we adopt the standard procedure of averaging the disorder dependent free energy of the model. The dominant contribution to this quantity is represented by a series of the replica partition functions of the system. Next, using the replica symmetry ansatz in the saddle-point equations, we prove that the average free energy represents a system with multiple ground states with different order parameters. For low temperatures we show the presence of metastable equilibrium states for some replica fields for a range of values of the physical parameters. Finally, going beyond the mean-field approximation, the one-loop renormalization of this model is performed, in the leading order replica partition function.

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R. Acosta Diaz, G. Krein, N. F. Svaiter, C. A. D. Zarro. 2017-12-21. Disordered $\lambda\varphi^{4}+\rho\varphi^{6}$ Landau-Ginzburg model. https://doi.org/10.1103/physrevd.97.065017

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