More on Lattice BRST Invariance

Details More on Lattice BRST Invariance More on Lattice BRST Invariance

1998-03-31

arxiv.org/abs/hep-lat/9803028v2

Phys.Rev. D58 (1998) 097504

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX, 9 pages, minor changes

Scientific paper

10.1103/PhysRevD.58.097504

In the gauge-fixing approach to (chiral) lattice gauge theories, the action in the U(1) case implicitly contains a free ghost term, in accordance with the continuum abelian theory. On the lattice there is no BRST symmetry and, without fermions, the partition function is strictly positive. Recently, Neuberger pointed out in hep-lat/9801029 that a different choice of the ghost term would lead to a BRST-invariant lattice model, which is ill-defined nonperturbatively. We show that such a lattice model is inconsistent already in perturbation theory, and clearly different from the gauge-fixing approach.

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