Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-06-05
Nucl.Phys. B597 (2001) 583-614
Physics
High Energy Physics
High Energy Physics - Theory
June 2000. 37pp. Improved discussion of the definition of observables and derivation of the action
Scientific paper
10.1016/S0550-3213(00)00725-2
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.
Baulieu Laurent
Grassi Pietro Antonio
Zwanziger Daniel
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