Abstract
A gauge theory with 4 physical dimensions can be consistently expressed as a renormalizable topological quantum field theory in 5 dimensions. We extend the symmetries in the 5-dimensional framework to include not only a topological BRST operator s that encodes the invisibility of the "bulk" (the fifth dimension), but also a gauge BRST operator w that encodes gauge-invariance and selects observables. These symmetries provide a rich structure of Ward identities which assure the renormalizability of the theory, including non-renormalization theorems. The 5-dimensional approach considerably simplifies conceptual questions such as for instance the Gribov phenomenon and fermion doubling. A confinement scenario in the 5-dimensional framework is sketched. We detail the five-dimensional mechanism of anomalies, and we exhibit a natural lattice discretization that is free of fermion doubling.
Original language | English (US) |
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Pages (from-to) | 583-614 |
Number of pages | 32 |
Journal | Nuclear Physics B |
Volume | 597 |
Issue number | 1-3 |
DOIs | |
State | Published - Mar 12 2001 |
ASJC Scopus subject areas
- Nuclear and High Energy Physics