Remarks on left-handed lattice fermions

Details Remarks on left-handed lattice fermions Remarks on left-handed lattice fermions

2007-10-29

arxiv.org/abs/0710.5371v1

PoSLAT2007:081,2007

Physics

High Energy Physics

High Energy Physics - Lattice

Contribution to Lattice 2007, based on two presentations by the authors

Scientific paper

We study whether applying lattice projectors on a vector-like Ginsparg-Wilson Dirac operator is the only way to construct left-handed lattice fermions. Using RG transformations we derive an equation for the generating functional on the lattice, obtained by blocking from the continuum. We analyze how symmetries of the continuum theory manifest themselves in this lattice generating functional and how anomalies emerge. The formalism is applied to left-handed continuum fermions and we derive two equations that characterize the corresponding lattice symmetries. To analyze possible solutions, we directly block a parameterized action for free continuum fermions to obtain the corresponding lattice action. Subsequently we study parameter values where the continuum action corresponds to left-handed fermions.

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