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arxiv: 1809.08929 · v2 · pith:PWF3HG2Fnew · submitted 2018-09-21 · ✦ hep-lat · hep-ph

The quenched SU(2) adjoint scalar propagator in minimal Landau gauge

classification ✦ hep-lat hep-ph
keywords adjointfundamentalgaugepropagatorquenchedscalarconfinementdifference
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It is a long-standing question whether the confinement of matter fields in QCD has an imprint in the (gauge-dependent) correlation functions, especially the propagators. In particular in the quenched case a fundamental difference could be expected between adjoint and fundamental matter. In a preceding investigation the propagator of a fundamental scalar has been studied, showing no obvious sign of confinement. Here, complementary, the adjoint scalar propagator is investigated over a wide range of parameters in the minimal Landau gauge using lattice gauge theory. This study is performed in two, three, and four dimensions in quenched SU(2) Yang-Mills theory, both in momentum space and position space. No conclusive difference between both cases is found.

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