
doi: 10.1007/bf01206888
We consider theq-component quantum Potts model on ad-dimensional cubic lattice with symmetry breaking and transverse fields. The model is solved exactly in two special limiting cases: 1) the infinite lattice-dimensionality (d→∞) limit and 2) the limit of infinitely-weak, long-range interactions of Kac type. In each case the resulting free energy and its first partial derivatives (order parameters) are shown to be identical to the corresponding mean-field expressions.
Miscellaneous applications of functional analysis, q-component quantum Potts model on a d-dimensional cubic lattice with symmetry breaking and transverse fields, mean-field theory, 82A15, Quantum equilibrium statistical mechanics (general), statistical mechanics, 82A68, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, infinitely weak longrange interaction of Kac type
Miscellaneous applications of functional analysis, q-component quantum Potts model on a d-dimensional cubic lattice with symmetry breaking and transverse fields, mean-field theory, 82A15, Quantum equilibrium statistical mechanics (general), statistical mechanics, 82A68, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, infinitely weak longrange interaction of Kac type
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 9 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
