Hadronic bound states in SU(2) from Dyson–Schwinger equations
By using the Dyson–Schwinger/Bethe–Salpeter formalism in Euclidean spacetime, we calculate the ground state spectrum of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrs...
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| Format: | Online |
| Language: | English |
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Springer Berlin Heidelberg
2015
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| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4423856/ |
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pubmed-4423856 |
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pubmed-44238562015-05-18 Hadronic bound states in SU(2) from Dyson–Schwinger equations Vujinovic, Milan Williams, Richard Regular Article - Theoretical Physics By using the Dyson–Schwinger/Bethe–Salpeter formalism in Euclidean spacetime, we calculate the ground state spectrum of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$J\le 1$$\end{document}J≤1 hadrons in an SU(2) gauge theory with two fundamental fermions. We show that the rainbow-ladder truncation, commonly employed in QCD studies, is unsuitable for a description of an SU(2) theory. This we remedy by truncating at the level of the quark–gluon vertex Dyson–Schwinger equation in a diagrammatic expansion. Results obtained within this novel approach show good agreement with lattice studies. These findings emphasize the need to use techniques more sophisticated than rainbow-ladder when investigating generic strongly interacting gauge theories. Springer Berlin Heidelberg 2015-02-28 2015 /pmc/articles/PMC4423856/ /pubmed/25995703 http://dx.doi.org/10.1140/epjc/s10052-015-3324-x Text en © The Author(s) 2015 Open AccessThis article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited. Funded by SCOAP3 / License Version CC BY 4.0. |
| repository_type |
Open Access Journal |
| institution_category |
Foreign Institution |
| institution |
US National Center for Biotechnology Information |
| building |
NCBI PubMed |
| collection |
Online Access |
| language |
English |
| format |
Online |
| author |
Vujinovic, Milan Williams, Richard |
| spellingShingle |
Vujinovic, Milan Williams, Richard Hadronic bound states in SU(2) from Dyson–Schwinger equations |
| author_facet |
Vujinovic, Milan Williams, Richard |
| author_sort |
Vujinovic, Milan |
| title |
Hadronic bound states in SU(2) from Dyson–Schwinger equations |
| title_short |
Hadronic bound states in SU(2) from Dyson–Schwinger equations |
| title_full |
Hadronic bound states in SU(2) from Dyson–Schwinger equations |
| title_fullStr |
Hadronic bound states in SU(2) from Dyson–Schwinger equations |
| title_full_unstemmed |
Hadronic bound states in SU(2) from Dyson–Schwinger equations |
| title_sort |
hadronic bound states in su(2) from dyson–schwinger equations |
| description |
By using the Dyson–Schwinger/Bethe–Salpeter formalism in Euclidean spacetime, we calculate the ground state spectrum of \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$J\le 1$$\end{document}J≤1 hadrons in an SU(2) gauge theory with two fundamental fermions. We show that the rainbow-ladder truncation, commonly employed in QCD studies, is unsuitable for a description of an SU(2) theory. This we remedy by truncating at the level of the quark–gluon vertex Dyson–Schwinger equation in a diagrammatic expansion. Results obtained within this novel approach show good agreement with lattice studies. These findings emphasize the need to use techniques more sophisticated than rainbow-ladder when investigating generic strongly interacting gauge theories. |
| publisher |
Springer Berlin Heidelberg |
| publishDate |
2015 |
| url |
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4423856/ |
| _version_ |
1613220727377362944 |