Gauge and topological symmetries in the bulk quantization of gauge theories

Laurent Baulieu, Pietro Antonio Grassi, Daniel Zwanziger

    Research output: Contribution to journalArticle

    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 languageEnglish (US)
    Pages (from-to)583-614
    Number of pages32
    JournalNuclear Physics, Section B
    Volume597
    Issue number1-3
    DOIs
    StatePublished - Mar 12 2001

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    gauge theory
    symmetry
    fermions
    operators
    gauge invariance
    visibility
    theorems
    anomalies

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Gauge and topological symmetries in the bulk quantization of gauge theories. / Baulieu, Laurent; Grassi, Pietro Antonio; Zwanziger, Daniel.

    In: Nuclear Physics, Section B, Vol. 597, No. 1-3, 12.03.2001, p. 583-614.

    Research output: Contribution to journalArticle

    Baulieu, Laurent ; Grassi, Pietro Antonio ; Zwanziger, Daniel. / Gauge and topological symmetries in the bulk quantization of gauge theories. In: Nuclear Physics, Section B. 2001 ; Vol. 597, No. 1-3. pp. 583-614.
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