More on lattice BRST invariance

Journal Article · Sat Oct 31 23:00:00 EST 1998 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.58.097504· OSTI ID:298617

Bock, W ^[1]; Golterman, M F ^[2]; Shamir, Y ^[3]

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1. Institute of Physics, Humboldt University, Invalidenstrasse 110, 10115, Berlin (Germany)
2. Department of Physics, Washington University, St. Louis, Missouri, 63130 (United States)
3. School of Physics and Astronomy, Tel-Aviv University, Ramat Aviv, 69978 (Israel)

In the gauge-fixing approach to (chiral) lattice gauge theories, the action in the U(1) case implicitly contains a {ital 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, Phys. Rev. D {bold 58}, 057502 (1998), 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. {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 298617
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 9 Vol. 58; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHIRAL SYMMETRY
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
PARTITION FUNCTIONS
PERTURBATION THEORY
U-1 GROUPS