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It is shown that next-nearest-neighbor interactions may lead to unusual paramagnetic or ferromagnetic phases which physical content is radically different from the standard phases. Actually there are several particles described by the same quantum field in a manner similar to the species doubling of the lattice fermions. The renormalizability of the theory is proven at the one loop level.
KeywordsFerromagnetic Phasis Loop Level Physical Content Lattice Fermion Standard Phase
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