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Two- and three-point functions in Landau gauge Yang-Mills-Higgs theory

2013/12/17 by Axel Maas, Tajdar Mufti · 1 voice
Physics and Astronomy · #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1007/jhep04(2014)006

published as JHEP 1404 (2014) 006 · 46 pages, 22 figures, 1 table v2: Some pictures updated with more statistics, minor changes, one paragraph on 4-point functions added, version accepted by JHEP

arxiv published 2013/12/17 · arxiv created 2014/06/05 · arxiv updated 2014/06/05

Abstract

Yang-Mills-Higgs theory offers a rich set of physics. In particular, in some region of its parameter space it has QCD-like behavior, while in some other range it is Higgs-like. Furthermore, for the choice of the gauge group SU(2) and an SU(2) Higgs flavor symmetry it is the Higgs sector of the standard model. Therefore, it is possible to study a plethora of phenomena within a single theory. Here the standard-model version is studied using lattice gauge theory. Choosing non-aligned minimal Landau gauge, its propagators and three-point vertices will be determined in both the QCD-like and Higgs-like domains. This permits to test various proposals for how confinement works, as well as how confinement and the Higgs effect differ. The correlations functions are found to exhibit a different behavior, depending on whether the lowest mass scalar flavor singlet is lighter than the vector triplet, heavier and stable, or unstable against decay into two vector triplets.

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