“School of Particles And Accelerator”
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Paper IPM / Particles And Accelerator / 16854  


Abstract:  
We study the meson potential energy in a nonconformal model at both zero and finite temperature via gauge/gravity duality. This model consists of fivedimensional Einstein gravity coupled to a scalar field with a nontrivial potential. Interestingly, at both zero and finite temperature we find that the relative meson potential energy can be considered as a measure of nonconformality of the
theory. At zero temperature we show that parameters of the Cornell potential, i.e. Coulomb strength parameter Ã?ÃÂº and constant C depends on the energy scale ÃÂ¯ÃÂ¿ÃÂ½? that breaks conformal symmetry and the difference between the number of degrees of freedom of UV and IR fixed points ÃÂ¯ÃÂ¿ÃÂ½??N while QCD
string tension ÃÂ¯ÃÂ¿ÃÂ½?s just depends on the ÃÂ¯ÃÂ¿ÃÂ½?. At finite temperature we see that there is a melting length
lm` where beyond that the meson dissociates in the plasma and by increasing ÃÂ¯ÃÂ¿ÃÂ½? the value of lm`increases while its value is independent of the temperature.
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