Finite-Size Effects in the φ4 Field and Lattice Theory Above the Upper Critical Dimension
| Autor: | X. S. Chen, V. Dohm |
|---|---|
| Rok vydání: | 1998 |
| Předmět: |
Physics
Monte Carlo method General Physics and Astronomy Statistical and Nonlinear Physics Computer Science Applications symbols.namesake Computational Theory and Mathematics Lattice (order) symbols Periodic boundary conditions Ising model Statistical physics Hamiltonian (quantum mechanics) Critical dimension Cumulant Mathematical Physics |
| Zdroj: | International Journal of Modern Physics C. :1007-1019 |
| ISSN: | 1793-6586 0129-1831 |
| DOI: | 10.1142/s0129183198000947 |
| Popis: | We demonstrate that the standard O(n) symmetric φ4 field theory does not correctly describe the leading finite-size effects near the critical point of spin systems with periodic boundary conditions on a d-dimensional lattice with d>4. We show that these finite-size effects require a description in terms of a lattice Hamiltonian. For n →∞ and n=1, explicit results are given for the susceptibility and for the Binder cumulant. They imply that these quantities do not have the universal properties predicted previously and that recent analyses of Monte Carlo results for the five-dimensional Ising model are not conclusive. |
| Databáze: | OpenAIRE |
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