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Non-Abelian duality from vortex moduli: A dual model of color-confinement |
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| Authors: | Minoru Eto Luca Ferretti Kenichi Konishi Giacomo Marmorini Muneto Nitta Keisuke Ohashi Walter Vinci Naoto Yokoi |
| Institution: | aUniversity of Tokyo, Institute of Physics, Komaba 3-8-1, Meguro-ku Tokyo 153, Japan bSISSA, via Beirut 2-4 I-34100 Trieste, Italy cINFN, Sezione di Trieste, I-34012 Trieste (Padriciano), Italy dDepartment of Physics, University of Pisa, Largo Pontecorvo, 3, Ed. C, 56127 Pisa, Italy eINFN, Sezione di Pisa, Largo Pontecorvo, 3, Ed. C, 56127 Pisa, Italy fScuola Normale Superiore, Piazza dei Cavalieri, 7, 56126 Pisa, Italy gDepartment of Physics, Keio University, Hiyoshi, Yokohama, Kanagawa 223-8521, Japan hDepartment of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan iTheoretical Physics Laboratory, The Institute of Physical and Chemical Research (RIKEN), 2-1 Hirosawa, Wako, Saitama 351-0198, Japan |
| Abstract: | It is argued that the dual transformation of non-Abelian monopoles occurring in a system with gauge symmetry breaking G→H is to be defined by setting the low-energy H system in Higgs phase, so that the dual system is in confinement phase. The transformation law of the monopoles follows from that of monopole-vortex mixed configurations in the system (with a large hierarchy of energy scales, v1 v2)  π1(H)/π2(G/H). Our idea is tested against the concrete models—softly-broken v2Λ) of these models are consistent with those inferred from the fully quantum-mechanical low-energy effective action of the systems (at v1,v2Λ). |
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