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EnglishA conjecture, based on a comparison of different mean-field-like approximations, is proposed for determining the first- or second-order character of phase transitions. The q-state Potts model and several gauge theories [Z2, U(N), SU(N), SO(3)] on a lattice are considered. For Z2 gauge theory, in particular, a critical dimensionality dc=3.66 is predicted, whereas for the Potts model qc=2.75 in d=3, qc=2.4 in d=4, and qc∝exp[1/(d-1)] for d→1 are obtained.
| Titolo: | Criterion For Distinguishing Between Continuous and Discontinuous Transitions In Spin and Gauge Systems |
| Autori: | |
| Data di pubblicazione: | 1983 |
| Rivista: | |
| Abstract: | A conjecture, based on a comparison of different mean-field-like approximations, is proposed for determining the first- or second-order character of phase transitions. The q-state Potts model and several gauge theories [Z2, U(N), SU(N), SO(3)] on a lattice are considered. For Z2 gauge theory, in particular, a critical dimensionality dc=3.66 is predicted, whereas for the Potts model qc=2.75 in d=3, qc=2.4 in d=4, and qc∝exp[1/(d-1)] for d→1 are obtained. |
| Handle: | http://hdl.handle.net/11577/2509512 |
| Appare nelle tipologie: | 01.01 - Articolo in rivista |
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