English

Lifshitz fermionic theories with z=2 anisotropic scaling

High Energy Physics - Theory 2013-05-30 v2

Abstract

We construct fermionic Lagrangians with anisotropic scaling z=2, the natural counterpart of the usual z=2 Lifshitz field theories for scalar fields. We analyze the issue of chiral symmetry, construct the Noether axial currents and discuss the chiral anomaly giving explicit results for two-dimensional case. We also exploit the connection between detailed balance and the dynamics of Lifshitz theories to find different z=2 fermionic Lagrangians and construct their supersymmetric extensions.

Keywords

Cite

@article{arxiv.1206.1027,
  title  = {Lifshitz fermionic theories with z=2 anisotropic scaling},
  author = {H. Montani and F. A. Schaposnik},
  journal= {arXiv preprint arXiv:1206.1027},
  year   = {2013}
}

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