Thermodynamics of large-N super Yang-Mills theory AdS/CFT correspondence

Kim Chanju; Soo Jong Rey

doi:10.1016/s0550-3213(99)00532-5

Thermodynamics of large-N super Yang-Mills theory AdS/CFT correspondence

Kim Chanju, Soo Jong Rey

Department of Physics

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

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Abstract

The thermodynamics of d = 4, script N =4 supersymmetric SU(N) Yang - Mills theory is studied with particular attention paid to the perturbative expansion in the weak 't Hooft coupling regime and to the interpolation to the strong coupling regime thereof. The non-ideal gas effect to the free energy is calculated and found that leading- and next-to-leading-order corrections contribute with relative opposite signs. The Padé approximant method is adopted to improve fixed-order perturbative series and is found to decrease the free energy monotonically as the 't Hooft coupling parameter is increased. This may be regarded as an indication of a smooth interpolation of the thermodynamics between the weak and strong 't Hooft coupling regimes, as suggested by Maldacena's AdS/CFT correspondence.

Original language	English
Pages (from-to)	430-440
Number of pages	11
Journal	Nuclear Physics, Section B
Volume	564
Issue number	3
DOIs	https://doi.org/10.1016/s0550-3213(99)00532-5
State	Published - 10 Jan 2000

Bibliographical note

Funding Information:
Work supported in part by KOSEF Interdisciplinary Research Grant 98-0702-07-01-5 and SRC Program, KRF International Collaboration Grant, Ministry of Education Grant 98-015-D00054, and The Korea Foundation for Advanced Studies Faculty Fellowship.

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title = "Thermodynamics of large-N super Yang-Mills theory AdS/CFT correspondence",

abstract = "The thermodynamics of d = 4, script N =4 supersymmetric SU(N) Yang - Mills theory is studied with particular attention paid to the perturbative expansion in the weak 't Hooft coupling regime and to the interpolation to the strong coupling regime thereof. The non-ideal gas effect to the free energy is calculated and found that leading- and next-to-leading-order corrections contribute with relative opposite signs. The Pad{\'e} approximant method is adopted to improve fixed-order perturbative series and is found to decrease the free energy monotonically as the 't Hooft coupling parameter is increased. This may be regarded as an indication of a smooth interpolation of the thermodynamics between the weak and strong 't Hooft coupling regimes, as suggested by Maldacena's AdS/CFT correspondence.",

author = "Kim Chanju and Rey, {Soo Jong}",

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N2 - The thermodynamics of d = 4, script N =4 supersymmetric SU(N) Yang - Mills theory is studied with particular attention paid to the perturbative expansion in the weak 't Hooft coupling regime and to the interpolation to the strong coupling regime thereof. The non-ideal gas effect to the free energy is calculated and found that leading- and next-to-leading-order corrections contribute with relative opposite signs. The Padé approximant method is adopted to improve fixed-order perturbative series and is found to decrease the free energy monotonically as the 't Hooft coupling parameter is increased. This may be regarded as an indication of a smooth interpolation of the thermodynamics between the weak and strong 't Hooft coupling regimes, as suggested by Maldacena's AdS/CFT correspondence.

AB - The thermodynamics of d = 4, script N =4 supersymmetric SU(N) Yang - Mills theory is studied with particular attention paid to the perturbative expansion in the weak 't Hooft coupling regime and to the interpolation to the strong coupling regime thereof. The non-ideal gas effect to the free energy is calculated and found that leading- and next-to-leading-order corrections contribute with relative opposite signs. The Padé approximant method is adopted to improve fixed-order perturbative series and is found to decrease the free energy monotonically as the 't Hooft coupling parameter is increased. This may be regarded as an indication of a smooth interpolation of the thermodynamics between the weak and strong 't Hooft coupling regimes, as suggested by Maldacena's AdS/CFT correspondence.

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Thermodynamics of large-N super Yang-Mills theory AdS/CFT correspondence

Abstract

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