2009

Minimally doubled fermions at one-loop level

Capitani, Stefano, Weber, Johannes, Wittig, Hartmut

Understand

Single fermionic degrees of freedom together with standard chiral symmetry at finite lattice spacing, correct continuum limit and local interactions only are precluded by the Nielsen-Ninomiya no-go theorem.

  • The class of minimally doubled fermion actions exhibits exactly two chiral modes.
  • Recent interest in these actions has been sparked by the investigation of fermionic actions defined on "hyperdiamond" lattices.
  • Due to the necessity of breaking hypercubic symmetry explicitly, radiative corrections generate operator mixings with relevant and marginal operators that should vanish in continuum QCD.

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