Hamiltonian Flow of Yang-Mills Theory in Coulomb Gauge

Physical Review D - PHYS REV D 08/2010; 83(2). DOI: 10.1103/PHYSREVD.83.025010
Source: arXiv

ABSTRACT A new functional renormalization group equation for Hamiltonian Yang-Mills
theory in Coulomb gauge is presented and solved for the static gluon and ghost
propagators under the assumption of ghost dominance. The results are compared
to those obtained in the variational approach.

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    ABSTRACT: The Dyson-Schwinger equations arising from minimizing the vacuum energy density in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge are solved numerically. A new solution is presented which gives rise to a strictly linearly rising static quark potential and whose existence was previously observed in the infrared analysis of the Dyson-Schwinger equations. For the new solution we also present the static quark potential and calculate the running coupling constant from the ghost-gluon vertex.
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