TY - JOUR
T1 - The Hagedorn transition and the number of degrees of freedom of string theory
AU - Atick, Joseph J.
AU - Witten, Edward
N1 - Funding Information:
The analogy between string theory and QCD, some aspects of which we will review in sect. 2, suggests that the Hagedorn temperature is not really a limiting 1 Work supported by the Department of Energy, contract no. DE-AC02-76ER-02220. 2 On leave from Department of Physics, Princeton University. Research supported in part by NSF grants nos. 80-19754, 86-16129, 86-20266.
PY - 1988/12/5
Y1 - 1988/12/5
N2 - 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.
AB - 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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U2 - 10.1016/0550-3213(88)90151-4
DO - 10.1016/0550-3213(88)90151-4
M3 - Article
AN - SCOPUS:33744550164
SN - 0550-3213
VL - 310
SP - 291
EP - 334
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 2
ER -