Variational approach for the N-state spin and gauge Potts model |
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Authors: | L Masperi C Omero |
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Institution: | 1. Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Italy;2. International Centre for Theoretical Physics, Trieste, Italy;3. Instituto di Fisica Teorica dell''Universita di Trieste, Italy;4. Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Italy |
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Abstract: | A hamiltonian variational treatment is applied both to the spin Potts model and to its gauge version for any number of states N and spatial dimensions d?2. Regarding the former we reproduce the correct critical coupling and latent heat for not too low N and d. For the latter, our approach turns the gauge theory into an equivalent d-dimensional classical spin model, which evaluated for d + 1 = 4 gives results in agreement with 1/N expansions. |
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