KEK素粒子原子核研究所・理論セミナー/山崎氏

 
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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/kurachi-AT-post.kek.jp
ウェブサイト
食堂・売店利用予定なし／0

概要


ABSTRACT:
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
Yonekura.

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