Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-03-18
Phys.Lett. B535 (2002) 363-370
Physics
High Energy Physics
High Energy Physics - Lattice
Scientific paper
10.1016/S0370-2693(02)01732-X
We derive Ginsparg-Wilson relation for a lattice chiral symmetry in theories with self-interacting fermions. Auxiliary scalar and pseudo-scalar fields are introduced on a coarse lattice to give an effective description of the fermionic interactions. We obtain particular solutions to the Ginsparg-Wilson relation and other Ward-Takahashi identities in a closed form. These non-perturbative solutions can be used to construct a chiral invariant action and an invariant path-integral measure on the coarse lattice. The resulting partition function exhibits the exact chiral symmetry in the fermionic system with the auxiliary fields.
Igarashi Yuji
So Hiroto
Ukita Naoya
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