Truncating first-order dyson-schwinger equations in Coulomb gauge yang-mills theory

Reinhard Alkofer, Axel Maas, Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    The non-perturbative domain of QCD contains confinement, chiral symmetry breaking, and the bound state spectrum. For the calculation of the latter, the Coulomb gauge is particularly well-suited. Access to these non-perturbative properties should be possible by means of the Green's functions. However, Coulomb gauge is also very involved, and thus hard to tackle. We introduce a novel BRST-type operator r, and show that the left-hand side of Gauss' law is r-exact. We investigate a possible truncation scheme of the Dyson-Schwinger equations in first-order formalism for the propagators based on an instantaneous approximation. We demonstrate that this is insufficient to obtain solutions with the expected property of a linear-rising Coulomb potential. We also show systematically that a class of possible vertex dressings does not change this result.

    Original languageEnglish (US)
    Pages (from-to)73-90
    Number of pages18
    JournalFew-Body Systems
    Volume47
    Issue number1
    DOIs
    StatePublished - Jan 1 2010

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

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