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Fermion mass without symmetry breaking

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arxiv 1510.04153 v3 pith:K2YGVPCX submitted 2015-10-14 hep-lat cond-mat.str-elhep-phhep-th

Simon Catterall This is my paper · ORCID
classification hep-latcond-mat.str-elhep-phhep-th
keywords fermionbreakingfourmassmodelsymmetrywithoutappear
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abstract

We examine a model of reduced staggered fermions in three dimensions interacting through an $SO(4)$ invariant four fermion interaction. The model is similar to that considered in a recent paper by Ayyer and Chandrasekharan \cite{Ayyar:2014eua}. We present theoretical arguments and numerical evidence which support the idea that the system develops a mass gap for sufficiently strong four fermi coupling.{\it without} producing a symmetry breaking fermion bilinear condensate. Massless and massive phases appear to be separated by a continuous phase transition.

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  1. "Symmetry-from-Anomaly" in Condensed Matter related Constructions

    cond-mat.str-el 2025-06 reject novelty 6.0 of 10

    The paper proposes that a conserved and gauge invariant axial rotation in 1d and 3d condensed matter models requires a dark bulk topological order built from partons, distinguishing it from noninvertible symmetry proposals.

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