72 citations · 137 across the 15 of their papers we have counts for
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Ginsparg-Wilson relation and lattice Weyl fermions
S. V. Zenkin
We demonstrate that in the topologically trivial gauge sector the Ginsparg-Wilson relation for lattice Dirac operators admits an exactly gauge invariant path integral formulation o…
Chiral structure of the solutions of the Ginsparg-Wilson relation
Ting-Wai Chiu, Chih-Wei Wang, Sergei V. Zenkin
We analyse the structure of solutions of the Ginsparg-Wilson relation for lattice Dirac operator in topologically trivial gauge sector. We show that the properties of such solution…
Solutions of the Ginsparg-Wilson Relation
Ting-Wai Chiu, Sergei V. Zenkin
We analyze general solutions of the Ginsparg-Wilson relation for lattice Dirac operators and formulate a necessary condition for such operators to have non-zero index in the topolo…
Extension of the Nielsen-Ninomiya theorem
S. V. Zenkin
The index theorem is employed to extend the no-go theorem for lattice chiral Dirac fermions to translation non-invariant and non-local formulations.