Abstract
The effects of Generalized Uncertainty Principle, which has been predicted by various theories of quantum gravity replacing the Heisenberg’s uncertainty principle near the Planck scale, on the thermodynamics of ideal Quark-Gluon Plasma (QGP) consisting of two and three flavors are included. There is a clear effect on thermodynamical quantities like the pressure and the energy density which means that a different effect from quantum gravity may be used in enhancement the theoretical results for Quark-Gluon Plasma state of matter. This effect looks like the technique used in lattice QCD simulation. We determine the value of the bag parameter from fitting lattice QCD data and a physical interpretation to the negative bag pressure is introduced.
Highlights
Since various theories of quantum gravity predict essential modifications in the Heisenberg’s uncertainty principle near the Planck scale, We utilize the proposed generalized uncertainty principle (GUP), which proved compatible with string theory, doubly special relativity and black hole physics.Recently, a new model of GUP was proposed [1,2,3]
There is a clear effect on thermodynamical quantities like the pressure and the energy density which means that a different effect from quantum gravity may be used in enhancement the theoretical results for Quark-Gluon Plasma state of matter
We determine the value of the bag parameter from fitting lattice QCD data and a physical interpretation to the negative bag pressure is introduced
Summary
Since various theories of quantum gravity predict essential modifications in the Heisenberg’s uncertainty principle near the Planck scale, We utilize the proposed generalized uncertainty principle (GUP), which proved compatible with string theory, doubly special relativity and black hole physics. A new model of GUP was proposed [1,2,3]. It predicts a maximum observable momentum and a minimal measurable length. For a particle having a distant origin and an energy scale comparable to the Planck’s one, the momentum would be a subject of a modification [1,2,3]
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