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Coulomb gauge QCD from flow gauge at three loops
High Energy Physics - Theory · Submitted 30 Aug 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In all the examples we study, we find sets of graphs which are free of energy divergences.
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The abstract, sentence by sentence
We study the consistency of the non-Abelian Coulomb gauge. There are energy divergences in individual diagrams, which are known to cancel at 2-loop order when suitable sets of diagrams are summed. We investigate to 3-loop order the inclusion of UV divergent sub-graphs into the energy divergences. In all the examples we study, we find sets of graphs which are free of energy divergences. We make use of an interpolating gauge to regularise the energy divergences while integrals are manipulated. We comment on radiative corrections to the Christ-Lee terms in the Hamiltonian.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the consistency of the non-Abelian Coulomb gauge. | contribution 0.90 | 0.88 | 0.05 | asserted 0.56 |
| s1 | There are energy divergences in individual diagrams, which are known to cancel at 2-loop order when suitable sets of diagrams are summed. | background 1.00 | 0.07 | 0.06 | asserted 1.00 |
| s2 | We investigate to 3-loop order the inclusion of UV divergent sub-graphs into the energy divergences. | contribution 0.99 | 0.83 | 0.05 | asserted 0.58 |
| s3 | In all the examples we study, we find sets of graphs which are free of energy divergences. | result 1.00 | 0.96 | 0.52 | asserted 1.00 |
| s4 | We make use of an interpolating gauge to regularise the energy divergences while integrals are manipulated. | method 1.00 | 0.87 | 0.04 | asserted 0.99 |
| s5 | We comment on radiative corrections to the Christ-Lee terms in the Hamiltonian. | contribution 0.78 | 0.53 | 0.05 | unclear 0.90 |
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The paper
Original abstract
We study the consistency of the non-Abelian Coulomb gauge. There are energy divergences in individual diagrams, which are known to cancel at 2-loop order when suitable sets of diagrams are summed. We investigate to 3-loop order the inclusion of UV divergent sub-graphs into the energy divergences. In all the examples we study, we find sets of graphs which are free of energy divergences. We make use of an interpolating gauge to regularise the energy divergences while integrals are manipulated. We comment on radiative corrections to the Christ-Lee terms in the Hamiltonian.
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