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SUMMARY:Confinement/deconfinement phase transition for quarks in the highe
r representation in view of dual superconductivity
DTSTART;VALUE=DATE-TIME:20190624T080000Z
DTEND;VALUE=DATE-TIME:20190624T082000Z
DTSTAMP;VALUE=DATE-TIME:20220522T041152Z
UID:indico-contribution-1486@conference-indico.kek.jp
DESCRIPTION:Speakers: Akihiro Shibata (Computing Research Center\, KEK)\nD
ual superconductor picture is one of the most promising scenarios for quar
k confinement. We have proposed a new formulation of Yang-Mills theory on
the lattice so that the so-called restricted field obtained from the gauge
-covariant decomposition plays the dominant role in quark confinement. Thi
s framework improves the Abelian projection in the gauge-independent manne
r. For quarks in the fundamental representation\, we have demonstrated som
e numerical evidences for the dual superconductivity. However\, it is know
n that the expected behavior of the Wilson loop in higher representations
cannot be reproduced if the restricted part of the Wilson loop is extracte
d by adopting the Abelian projection or the field decomposition naively in
the same way as in the fundamental representation. Recentry\, by virtue o
f the non-Abelian Stokes theorem for the Wilson loop operator\, we have pr
oposed suitable operators constructed from the restricted field only in th
e fundamental representation to reproduce the correct behavior of the orig
inal Wilson loop in higher representations. We have further demonstrated b
y the numerical simulation that the proposed operators well reproduce the
expected behavior of the original Wilson loop average\, which overcomes th
e problem that occurs in naively applying Abelian-projection to the Wilson
loop operator for higher representations. In this talk\, we focus on the
the confinement and deconfinement phase transition for quarks in the highe
r representations at finite temperature in view of the dual superconductiv
ity. By using our new formulation of lattice Yang-Mills theory and numeric
al simulations on the lattice\, we extract the dominant mode for confineme
nt by decomposing the Yang-Mills field\, and we investigate the Polyakov l
oop average\, static quark potential for both Yang-Mills field and decompo
sed restricted field in both confinement and deconfinement phase at finite
temperature.\n\nhttps://conference-indico.kek.jp/event/76/contributions/1
486/
LOCATION:Bunkyo School Building\, Tokyo Campus\, University of Tsukuba 122
URL:https://conference-indico.kek.jp/event/76/contributions/1486/
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