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Article overview
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Truncating first-order Dyson-Schwinger equations in Coulomb-Gauge Yang-Mills theory | Reinhard Alkofer
; Axel Maas
; Daniel Zwanziger
; | Date: |
28 May 2009 | 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. | Source: | arXiv, 0905.4594 | Services: | Forum | Review | PDF | Favorites |
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