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Deconfinement phase transition in mirror of symmetries

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Abstract

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 c are replaced by particles, or field theories in 3d at T > T 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.

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Author information

Authors and Affiliations

  1. Laboratoire de Mathématiques et Physique Théorique, CNRS UMR 6083, Fédération Denis Poisson, Université de Tours, Parc de Grandmont, F37200, Tours, France

    M. N. Chernodub

  2. Department of Physics and Astronomy, Ghent University, Proeftuinstraat 86, B-9000, Gent, Belgium

    M. N. Chernodub

  3. Institute for Theoretical and Experimental Physics, Moscow, Russia

    M. N. Chernodub

  4. Research Institute for Information Science and Education, Hiroshima University, Higashi-Hiroshima, 739-8527, Japan

    A. Nakamura

  5. Institute for Theoretical and Experimental Physics, B. Cheremushkinskaya ul. 25, Moscow, 117218, Russia

    V. I. Zakharov

  6. Max-Planck-Institut für Physik, Föhringer Ring 6, 80805, Munich, Germany

    V. I. Zakharov

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  1. M. N. Chernodub
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  3. V. I. Zakharov
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Chernodub, M.N., Nakamura, A. & Zakharov, V.I. Deconfinement phase transition in mirror of symmetries. Proc. Steklov Inst. Math. 272, 75–87 (2011). https://doi.org/10.1134/S0081543811010081

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