Geodesic
Deconfinement phase transition in mirror of symmetries
Informatics and Automation, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Tome 272 (2011), pp. 84-96

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We argue that the deconfinement phase transition in Yang–Mills theories can be viewed as a change of effective non-perturbative degrees of freedom and of symmetries of their interactions. In short, the strings in four dimensions (4d) at temperatures below the critical temperature $T_\mathrm c$ are replaced by particles, or field theories in 3d at $T>T_\mathrm c$. The picture emerges within various approaches based on dual models, lattice data and effective field theoretic models. We concentrate mostly on the lattice data, or the language of quantum geometry. 
@article{TRSPY_2011_272_a7,
     author = {M. N. Chernodub and A. Nakamura and V. I. Zakharov},
     title = {Deconfinement phase transition in mirror of symmetries},
     journal = {Informatics and Automation},
     pages = {84--96},
     publisher = {mathdoc},
     volume = {272},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2011_272_a7/}
}
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M. N. Chernodub; A. Nakamura; V. I. Zakharov. Deconfinement phase transition in mirror of symmetries. Informatics and Automation, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Tome 272 (2011), pp. 84-96. http://geodesic.mathdoc.fr/item/TRSPY_2011_272_a7/