The Hagedorn transition and the number of degrees of freedom of string theory

Joseph J. Atick; Edward Witten

doi:10.1016/0550-3213(88)90151-4

The Hagedorn transition and the number of degrees of freedom of string theory

Joseph J. Atick
, Edward Witten

Research output: Contribution to journal › Article › peer-review

664 Scopus citations

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.

Original language	English (US)
Pages (from-to)	291-334
Number of pages	44
Journal	Nuclear Physics, Section B
Volume	310
Issue number	2
DOIs	https://doi.org/10.1016/0550-3213(88)90151-4
State	Published - Dec 5 1988
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0550-3213(88)90151-4

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title = "The Hagedorn transition and the number of degrees of freedom of string theory",

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.",

author = "Atick, \{Joseph J.\} and Edward Witten",

note = "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.",

year = "1988",

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doi = "10.1016/0550-3213(88)90151-4",

language = "English (US)",

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pages = "291--334",

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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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UR - https://www.scopus.com/pages/publications/33744550164#tab=citedBy

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 -

The Hagedorn transition and the number of degrees of freedom of string theory

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