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When one of the space-time dimension is compactified on $S^1$, the QCD exhibits the chiral phase transition at some critical radius.
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K.-i. Kondo, M. Tanabashi, and K. Yamawaki, “Renormalization in the gauged Nambu-Jona-Lasinio model,” Prog. Theor. Phys. 89
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QCD-TARO Collaboration, P. de Forcrand, M. Garcia Perez, T. Hashimoto, S. Hioki, H. Matsufuru, O. Miyamura, A. Nakamura, I. Stamatescu, T. Takaishi, and T. Umeda, “Meson correlators in finite temperature lattice QCD,” Phys. Rev. D 63
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T. Sakai and S. Sugimoto, “Low energy hadron physics in holographic QCD,” Prog. Theor. Phys. 113
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J. Erlich, E. Katz, D. T. Son, and M. A. Stephanov, “QCD and a holographic model of hadrons,” Phys. Rev. Lett. 95
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2014
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O. Aharony, “Baryons, monopoles and dualities in Chern-Simons-matter theories,” JHEP 02
2016
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A. Karch and D. Tong, “Particle-Vortex Duality from 3d Bosonization,” Phys. Rev. X6
2016
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P.-S. Hsin and N. Seiberg, “Level/rank Duality and Chern-Simons-Matter Theories,” JHEP 09
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A. Karch, B. Robinson, and D. Tong, “More Abelian Dualities in 2+1 Dimensions,” JHEP 01
2017
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2017
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Y. Tanizaki, T. Misumi, and N. Sakai, “Circle compactification and ’t Hooft anomaly,” JHEP 12
2017
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K. Aitken, A. Cherman, E. Poppitz, and L. G. Yaffe, “QCD on a small circle,” Phys. Rev. D96
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2018
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K. Aitken, A. Karch, and B. Robinson, “Deconstructing S-Duality,” SciPost Phys. 4
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