Touring the Hagedorn Ridge

Details Touring the Hagedorn Ridge Touring the Hagedorn Ridge

2004-07-27

arxiv.org/abs/hep-th/0407236v2

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, 18 figures, contribution to I.I. Kogan memorial volume, references added

Scientific paper

We review aspects of the Hagedorn regime in critical string theories, from basic facts about the ideal gas approximation to the proposal of a global picture inspired by general ideas of holography. It was suggested that the condensation of thermal winding modes triggers a first-order phase transition. We propose, by an Euclidean analogue of the string/black hole correspondence principle, that the transition is actually related to a topology change in spacetime. Similar phase transitions induced by unstable winding modes can be studied in toy models. There, using T-duality of supersymmetric cycles, one can identify a topology change of the Gregory--Laflamme type, which we associate with large-N phase transitions of Yang--Mills theories on tori. This essay is dedicated to the memory of Ian Kogan.

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