Disordered $\lambda\varphi^{4}+\rho\varphi^{6}$ Landau-Ginzburg model
| Autor: | Diaz, R. Acosta, Krein, G., Svaiter, N. F., Zarro, C. A. D. |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 97, 065017 (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.97.065017 |
| Popis: | 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. Comment: 10 pages |
| Databáze: | arXiv |
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