Running Gauge Coupling and Quark-Antiquark Potential in Non-SUSY Gauge Theory at Finite Temperature from IIB SG/CFT correspondence

Details Running Gauge Coupling and Quark-Antiquark Potential in Non-SUSY Gauge Theory at Finite Temperature from IIB SG/CFT correspondence Running Gauge Coupling and Quark-Antiquark Potential in Non-SUSY Gauge Theory at Finite Temperature from IIB SG/CFT correspondence

1999-06-28

arxiv.org/abs/hep-th/9906216v2

Phys.Rev.D61:024027,2000

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 27 pages, misprints are corrected

Scientific paper

10.1103/PhysRevD.61.024027

We discuss the non-constant dilaton deformed ${\rm AdS}_5\times{\rm S}_5$ solutions of IIB supergravity where AdS sector is described by black hole. The investigation of running gauge coupling (exponent of dilaton) of non-SUSY gauge theory at finite temperature is presented for different regimes (high or low T, large radius expansion). Running gauge coupling shows power-like behavior on temperature with stable fixed point. The quark-antiquark potential at finite T is found and possibility of confinement is established. It is shown that non-constant dilaton affects the potential, sometimes reversing its behavior if we compare it with the constant dilaton case (${\cal N}=4$ super Yang-Mills theory). Thermodynamics of obtained backgrounds is studied. In particular, next-to-leading term to free energy F is evaluated as $F=-{\tilde V_3 \over 4\pi^2}({N^2 (\pi T)^4 \over 2} + {5c^2 \over 768 g_{YM}^6 N{\alpha'}^6 (\pi T)^4})$. Here $\tilde V_3$ is the volume of the space part in the boundary of AdS, c is the parameter coming from the non-constant dilaton and N is the number of the coincident D3-branes.

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