The Hagedorn Transition, Deconfinement and N=4 SYM Theory

N=4 Super Yang–Mills theory supplies us with a non-Abelian 4D gauge theory with a meaningful perturbation expansion, both in the UV and in the IR. We calculate the free energy on a 3-sphere and observe a deconfinement transition for large N at zero coupling. The same thermodynamic behaviour is found for a wide class of toy models, possibly also including the case of nonzero coupling. Below the transition we also find Hagedorn behaviour, which is identified with fluctuations signaling the approach to the deconfined phase. The Hagedorn and the deconfinement temperatures are identical. Application of the AdS/CFT correspondence gives a connection between string Hagedorn behaviour and black holes.

• Publication year

  1999

• Venue

  Nuclear Physics

• Publication date

  1999-07-31

• Fields of study

  Physics

• Identifiers
  DOI 10.1016/S0550-3213(00)00044-4arXiv hep-th/9908001
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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