The Hagedorn transition and the number of degrees of freedom of string theory |
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| Affiliation: | 1. Department of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of Athens, 15784 Athens, Greece;2. Institute of Nuclear and Particle Physics, National Center for Scientific Research Demokritos, Ag. Paraskevi, GR-15310 Athens, Greece;3. Theoretical Physics Department, CERN, 1211 Geneva 23, Switzerland;1. Institute of Physics, Jan Kochanowski University, PL-25406 Kielce, Poland;2. The H. Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, PL-31342 Kraków, Poland;3. Department of Physics, Kent State University, Kent, OH 44242, USA |
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| Abstract: | Extending recent discussions of the Hagedorn transition in string theory, we argue that this transition is a first-order phase transition with a very large heat (corresponding to a genus-zero contribution to the free energy that appears above the critical temperature). Formally analyzing the k-loop contributions to the free energy at temperatures far above the Hagedorn temperature leads to a number of interesting speculations about the underlying degrees of freedom in string theory. |
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