
TL;DR
The paper explores how next-nearest-neighbor interactions can induce novel magnetic phases and lead to a phenomenon akin to species doubling in quantum fields, with a proof of one-loop renormalizability.
Contribution
It demonstrates that certain interactions cause unusual phases and species doubling in bosonic systems, establishing the theory's renormalizability at one loop.
Findings
Identification of new paramagnetic and ferromagnetic phases
Evidence of species doubling in bosonic fields
Proof of one-loop renormalizability
Abstract
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. We prove the renormalizability of the theory at the one loop level.
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