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arXiv · 1603.07525

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

Axel Maas
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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. As the analytic structure plays an important role in this question, high-precision data is necessary for lattice investigations. Also, it is interesting how this depends on the dimensionality of the theory. To make a study over a wide range of parameters possible this suggests to use scalar particles. This is done here: The propagator of a fundamental scalar is studied in two, three, and four dimensions in quenched SU(2) Yang-Mills theory in minimal Landau gauge, both in momentum space and position space. Particular emphasis is put on the effects of renormalization. The results suggest a quite intricate volume dependence and the presence of an intrinsic mass scale, but no obvious connection to confinement.

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Axel Maas. 2016-06-30. The quenched SU(2) fundamental scalar propagator in minimal Landau gauge. https://doi.org/10.1140/epjc%2Fs10052-016-4216-4

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