Duals of U(N) LGT with staggered fermions

Duals of U(N) LGT with staggered fermions

Various approaches to construction of dual formulations of non-abelian lattice gauge theories are reviewed. In the case of U(N) LGT we use a theory of the Weingarten functions to construct a dual formulation. In particular, the dual representations are constructed 1) for pure gauge models in all dim...

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Main Authors: Borisenko Oleg, Chelnokov Volodymyr, Voloshyn Sergey
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:EPJ Web of Conferences
Online Access:https://doi.org/10.1051/epjconf/201817511021
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spelling doaj-fd0d9a1991714485866142a57245da772021-08-02T08:20:23ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011751102110.1051/epjconf/201817511021epjconf_lattice2018_11021Duals of U(N) LGT with staggered fermionsBorisenko OlegChelnokov VolodymyrVoloshyn SergeyVarious approaches to construction of dual formulations of non-abelian lattice gauge theories are reviewed. In the case of U(N) LGT we use a theory of the Weingarten functions to construct a dual formulation. In particular, the dual representations are constructed 1) for pure gauge models in all dimensions, 2) in the strong coupling limit for the models with arbitrary number of flavours and 3) for two-dimensional U(N) QCD with staggered fermions. Applications related to the finite temperature/density QCD are discussed.https://doi.org/10.1051/epjconf/201817511021
collection DOAJ
language English
format Article
sources DOAJ
author Borisenko Oleg
Chelnokov Volodymyr
Voloshyn Sergey
spellingShingle Borisenko Oleg
Chelnokov Volodymyr
Voloshyn Sergey
Duals of U(N) LGT with staggered fermions
EPJ Web of Conferences
author_facet Borisenko Oleg
Chelnokov Volodymyr
Voloshyn Sergey
author_sort Borisenko Oleg
title Duals of U(N) LGT with staggered fermions
title_short Duals of U(N) LGT with staggered fermions
title_full Duals of U(N) LGT with staggered fermions
title_fullStr Duals of U(N) LGT with staggered fermions
title_full_unstemmed Duals of U(N) LGT with staggered fermions
title_sort duals of u(n) lgt with staggered fermions
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2018-01-01
description Various approaches to construction of dual formulations of non-abelian lattice gauge theories are reviewed. In the case of U(N) LGT we use a theory of the Weingarten functions to construct a dual formulation. In particular, the dual representations are constructed 1) for pure gauge models in all dimensions, 2) in the strong coupling limit for the models with arbitrary number of flavours and 3) for two-dimensional U(N) QCD with staggered fermions. Applications related to the finite temperature/density QCD are discussed.
url https://doi.org/10.1051/epjconf/201817511021
work_keys_str_mv AT borisenkooleg dualsofunlgtwithstaggeredfermions
AT chelnokovvolodymyr dualsofunlgtwithstaggeredfermions
AT voloshynsergey dualsofunlgtwithstaggeredfermions
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