A Study on Quark-Gluon Plasma Equation of State Using Generalized Uncertainty Principle
- 1 Physics Department, Faculty of Science, Benha University, Benha, Egypt
- 2 Physics Department, Faculty of Science, Benha University, Benha, Egypt
- 3 Physics Department, Faculty of Science, Benha University, Benha, Egypt
- 4 Physics Department, Faculty of Science, Benha University, Benha, Egypt
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 techniq u e 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.
- A. F. Ali, S. Das and E. C. Vagenas, “Discreteness of Space from the Generalized Uncertainty Principle,” Physics Letters B, Vol. 678, No. 5, 2009, p. 497-499. doi:10.1016/j.physletb.2009.06.061
- A. F. Ali, S. Das and E. C. Vagenas, “The Generalized Uncertainty Principle and Quantum Gravity Phenomenology,” 2010. arXiv:1001.2642[hep-th]
- S. Das, E. C. Vagenas and A. F. Ali, “Discreteness of Space from GUP II: Relativistic Wave Equations,” Physics Letters B, Vol. 690, No. 4, 2010, p. 407-412. arXiv:1005.3368[hep-th]
- T. Thiemann, “A Length Operator for Canonical Quantum Gravity,” Journal of Mathematical Physics, Vol. 39, No. 6, 1998, pp. 3372-3392. doi:10.1063/1.532445
- I. Pikovski, M. R. Vanner, M. Aspelmeyer, M. Kim and C. Brukner, “Probing Planck-Scale Physics with Quantum Optics,” Nature Physics, Vol. 8, 2012, pp. 393-397. doi:10.1038/nphys2262
- S. Das and E. C. Vagenas, “Universality of Quantum Gravity Corrections,” Physical Review Letters, Vol. 101, No. 22, 2008, Article ID: 221301. doi:10.1103/PhysRevLett.101.221301
- S. Das and E. C. Vagenas, “Phenomenological Implications of the Generalized Uncertainty Principle,” Canadian Journal of Physics, Vol. 87, No. 3, 2009, pp. 233-240. doi:10.1139/P08-105
- A. F. Ali, S. Das and E. C. Vagenas, “A Proposal for Testing Quantum Gravity in the Lab,” Physical Review D, Vol. 84, 2011, Article ID: 044013. arXiv:1107.3164[hep-th]
- A. F. Ali, “Minimal Length in Quantum Gravity, Equivalence Principle and Holographic Entropy Bound,” Classical and Quantum Gravity, Vol. 28, 2011, Article ID: 065013. arXiv:1101.4181[hep-th]
- R. Collela, A. W. Overhauser and S. A. Werner, “Observation of Gravitationally Induced Quantum Interference,” Physical Review Letters, Vol. 34, No. 23, 1975, pp. 1472- 1474. doi:10.1103/PhysRevLett.34.1472
- K. C. Littrell, B. E. Allman and S. A. Werner, “Two-Wavelength-Difference Measurement of Gravitationally Induced Quantum Interference Phases,” Physical Review A, Vol. 56, No. 3, 1997, pp. 1767-1780. doi:10.1103/PhysRevA.56.1767
- A. Camacho and A. Camacho-Galvan, “Test of Some Fundamental Principles in Physics via Quantum Interference with Neutrons and Photons,” Reports on Progress in Physics, Vol. 70, 2007, pp. 1-56. arXiv:0810.1325[gr-qc]
- K. Yagi, T. Hatsuda and Y. Miake, “Quark-Gluon Plasma from Big Bang to Little Bang,” Cambridge University Press, Cambridge, 2005.