First- and second-order transitions in the Potts model near four dimensions
- 1 January 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 23 (1) , 362-367
- https://doi.org/10.1103/physrevb.23.362
Abstract
The continuum generalization of the -state Potts model is analyzed in the ordered phase. Renormalization-group iterations in dimensions are followed by an elimination of the transverse modes and a mapping onto an effective Ising model. This model is then used to show that the transition is first order for and continuous for . We find that for and .
Keywords
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