• 分類 理論セミナー
  • 開始 2017/08/18(金)13:30
  • 終了 2017/08/18(金)14:30
  • 会場 Kenkyu Honkan 3F, Seminar Room
  • 講演タイトル  From 4d Yang-Mills to 2d CP^{N−1} model: IR problem and confinement at weak coupling
  • 講演者 Dr.Masahito Yamazaki (Kavli IPMU)
  • 言語 英語/English
  • 連絡先 倉知昌史/
  • ウェブサイト
  • 食堂・売店 利用予定なし/0


It has been a long-standing problem to analytically prove confinement
of pure Yang-Mills theory. One possible scenario is to start with the
weakly-coupled region, obtain the trans-series expansion with respect
to gauge coupling constant, and then continue back to the
strongly-coupled region, with the help of mathematics of "resurgence".
The program has been pursued mostly on the geometry R^3 x S^1, however
there the trans-series expansion could be spoiled by IR divergences.
In this talk we discuss
4d SU(N) Yang-Mills theory on R×T^3, with twisted boundary condition
eliminating IR zero modes. By connecting the 4d Yang-Mills theory to
2d CP^{N-1}-model, we find that the fractional instantons connecting N
vacua of the CP^{N-1}-model dynamically restores center symmetry. This
talk is based on arXiv:1704.05852, in collaboration with Kazuya