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

2018/09/21 by Axel Maas · 1 voice
Physics and Astronomy · #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.99.054504

published as Phys. Rev. D 99, 054504 (2019) · 41 pages, 26 figures, 3 tables. v2: Minor additions. arXiv admin note: substantial text overlap with arXiv:1603.07525

arxiv published 2018/09/21 · arxiv created 2019/03/27 · arxiv updated 2019/03/28

Abstract

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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