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

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

2009-10-05

arxiv.org/abs/0910.0764v1

Phys.Rev.D81:025009,2010

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 5 figures

Scientific paper

10.1103/PhysRevD.81.025009

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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