| DATE: |
2008-08-20 13:00 - 14:00 |
| PLACE: |
Kenkyu Honkan 2F RM 220 |
| TITLE: |
Complete Integrability in QCD: Applications and Directions |
| CONTACT: |
tsuda |
| SPEAKER: |
Dr. Vladimir Braun (Regensburg Univ., Germany) |
| LANGUAGE: |
English |
| ABSTRACT: |
Yang-Mills theories in four space-time dimensions possess a hidden symmetry which does not exhibit itself as a symmetry of classical Lagrangians but is only revealed on the quantum level. It turns out that the effective Yang--Mills dynamics in several important limits is described by completely integrable systems that prove to be related to the celebrated Heisenberg spin chain and its generalizations. Furthermore, via gauge/string duality integrability of Yang--Mills dynamics is related with the hidden symmetry of a string theory in a curved background. In this talk I explain the general phenomenon of complete integrability and its realization in several different situations that one encounters in the QCD context. |
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