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arXiv · 1510.04153

Fermion mass without symmetry breaking

Simon Catterall
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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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Simon Catterall. 2016-01-07. Fermion mass without symmetry breaking. https://doi.org/10.1007/jhep01(2016)121

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