Confinement on $R^2 \times T^2$ with ‘t Hooft Flux, QCD Chiral Lagrangian and $\eta'$

Abstract: 4d gauge theories are strongly coupled at low energies, and their analytic computations are quite tough problem. In recent years, there was a discovery that $4d$ QCD on $R^2 \times T^2$ with the baryon-‘t Hooft flux accepts weakly-coupled description with maintaining its interesting features: We can derive the chiral effective Lagrangian analytically with including the $\eta'$ field. We then show that the $\eta'$ vortex in this $2d$ setup can be identified as the quark itself, and we discuss its connection with Komargodski’s pancake baryon scenario.

condensed mattergeneral relativity and quantum cosmologyHEP - latticeHEP - theorymathematical physicsquantum physics

Audience: researchers in the topic

Quantum Theories of Fields, Matter, and Strings

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