Fermionic Lifshitz theories with z=2 anisotropic scaling

H. MONTANI; F. A. SCHAPOSNIK

PHYSICAL REVIEW D

AMER PHYSICAL SOC

Lugar: New York; Año: 2012 vol. 86 p. 50241 - 502413

1550-7998

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.