Running gauge coupling and quark-antiquark potential in non-SUSY gauge theory at finite temperature from type IIB supergravity-CFT correspondence - art. no. 024027

We discuss nonconstant dilaton deformed AdS(5) x S-5 solutions of type IIE supergravity where the AdS sector is described by a black hole. The investi gation of the running gauge coupling (exponent of dilaton) of non-SUSY gaug e theory at finite temperature is presented for different regimes (high or low T, large radius expansion). The running gauge coupling shows a powerlik e behavior at temperatures with a stable fixed point. The quark-antiquark p otential at finite Tis found and the possibility of confinement is establis hed. It is shown that a nonconstant dilaton affects the potential, sometime s reversing its behavior if we compare it with the constant dilaton case (N = 4 super Yang-Mills theory). The thermodynamics of the backgrounds is stu died. In particular, the next-to-leading term for the free energy F is eval uated as F= -((V) over tilde(3)/4 pi(2))[N-2(pi T)(4)/2 + 5c(2)/768g(YM)(6) N alpha'(6)(pi T)(4)]. Here (V) over tilde(3) is the volume of the space pa rt in the boundary of the AdS sector, c is the parameter coming from the no nconstant dilaton, and N is the number of the coincident D3-branes.