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arXiv · 0910.0764

Phase transition and critical behavior of d=3 chiral fermion models with left/right asymmetry

Holger Gies·Lukas Janssen·Stefan Rechenberger·Michael M. Scherer
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Abstract

We investigate the critical behavior of three-dimensional relativistic fermion models with a U(N_L)_L x U(1)_R chiral symmetry reminiscent of the Higgs-Yukawa sector of the standard model of particle physics. We classify all possible four-fermion interaction terms and the corresponding discrete symmetries. For sufficiently strong correlations in a scalar parity-conserving channel, the system can undergo a second-order phase transition to a chiral-symmetry broken phase which is a 3d analog of the electroweak phase transition. We determine the critical behavior of this phase transition in terms of the critical exponent $\nu$ and the fermion and scalar anomalous dimensions for N_L >= 1. Our models define new universality classes that can serve as prototypes for studies of strongly correlated chiral fermions.

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Holger Gies, Lukas Janssen, Stefan Rechenberger, Michael M. Scherer. 2009-10-05. Phase transition and critical behavior of d=3 chiral fermion models with left/right asymmetry. https://doi.org/10.1103/physrevd.81.025009

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