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SUMMARY:第66回NITEP談話会
DTSTART;VALUE=DATE-TIME:20261117T071500Z
DTEND;VALUE=DATE-TIME:20261117T081500Z
DTSTAMP;VALUE=DATE-TIME:20261022T070430Z
UID:indico-event-235@indico.nitep.omu.ac.jp
DESCRIPTION:Date : 2026/11/17    15:00 -- 16:00\nPlace: F215\n\n\nSpeak
 er : Luiz Agostinho  Ferreira    Professor\, Instituto de Fisica de Sa
 o Carlos\; IFSC/USP\, Universidade de Sao Paulo\, Brazil\n \n\nTitle: The
  hidden symmetries of Yang-Mills theory in (3+1)-dimensions\n\nAbstract:\n
 We show that classical\, non-supersymmetric\, Yang-Mills theories coupled 
 to spin-$1/2$ and spin-$0$ matter fields\, in $(3+1)$-dimensional Minkowsk
 i space-time\, possess an exact integrability structure with an infinite n
 umber of conserved charges in involution. Such an integrability lives on t
 he space of non-abelian electric and magnetic charges\, and is based on fl
 at connections in generalized loop spaces\, presenting an $R$-matrix\, and
  Sklyanin relation. We present two novel symmetries of Yang-Mills theories
 . The first one are global  transformations generated by the infinity of 
 conserved charges under the Poisson brackets. The gauge and matter fields\
 , as well as Wilson lines and fluxes have  interesting transformation law
 s under such a global symmetry. The second one corresponds to symmetries o
 f the integral Yang-Mills equations\, which lead to the conserved charges.
  They generate an infinite dimensional group\, where the elements are holo
 nomies of connections on the loop space. The conserved charges are gauge i
 nvariant\, and so in the case of QCD they are color singlets\, and perhaps
  are not confined. Therefore\, the hadrons may carry such charges.  Our r
 esults open up the way for the construction of non-perturbative methods fo
 r Yang-Mills theories.\n\nhttps://indico.nitep.omu.ac.jp/event/235/
LOCATION:
URL:https://indico.nitep.omu.ac.jp/event/235/
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