The fermion determinant and the chiral gauge theory on a lattice

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Talk presented at LATTICE96(chiral gauge), 3 pages, no figures, espcrc2. References to works of other authors are corrected

Scientific paper

10.1016/S0920-5632(96)00750-5

Considering as an example a simple lattice ansatz for the chiral fermion
determinant, we demonstrate that even very mild violation of gauge invariance
by the determinant at finite lattice spacing leads to the need for another
scale in the full gauge theory. This new scale is much grater than the lattice
spacing and is associated with the gauge variables.

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