From 3D dualities to hadron physics

Naoto Kan, Ryuichiro Kitano, Shimon Yankielowicz, Ryo Yokokura

Research output: Contribution to journalArticlepeer-review


When one spacetime dimension is compactified on S1, QCD exhibits a chiral phase transition at some critical radius. When we further turn on a background θ term which depends on the S1 compactified coordinate, a topological ordered phase appears at low energy via the winding of θ. We discuss what kind of theories can describe the physics near the critical point by requiring the matching of topological field theories in the infrared. As one of the possibilities, we propose a scenario where the ρ and ω mesons form a U(Nf) gauge theory near the critical point. In the phase where chiral symmetry is restored, they become the dual gauge boson of the gluon related by the level-rank duality between the three-dimensional gauge theories SU(N)Nf and U(Nf)-N.

Original languageEnglish
Article number125034
JournalPhysical Review D
Issue number12
StatePublished - 30 Dec 2020


FundersFunder number
Israel-Germany Foundation
Japan Society for the Promotion of Science15KK0176, 19H00689
Ministry of Education, Culture, Sports, Science and Technology18H05542
German-Israeli Foundation for Scientific Research and Development
Israel Science Foundation2289118


    Dive into the research topics of 'From 3D dualities to hadron physics'. Together they form a unique fingerprint.

    Cite this