Effect of the GUP on the entropy, speed of sound, and bulk to shear viscosity ratio of an ideal QGP
In this work we compute the entropy density, speed of sound, and the resulting impact on the bulk viscosity to shear viscosity ratio of an ideal Quark Gluon Plasma when the effects of a generalized uncertainty principle are taken into consideration. When the parameter of the generalized uncertainty...
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Series: | Nuclear Physics B |
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doaj-f84985ccaebe4d0f9e1eebe5e91fbdd42020-11-25T00:01:19ZengElsevierNuclear Physics B0550-32132018-08-01933340348Effect of the GUP on the entropy, speed of sound, and bulk to shear viscosity ratio of an ideal QGPNasser Demir0Elias C. Vagenas1Corresponding author.; Theoretical Physics Group, Department of Physics, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitTheoretical Physics Group, Department of Physics, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitIn this work we compute the entropy density, speed of sound, and the resulting impact on the bulk viscosity to shear viscosity ratio of an ideal Quark Gluon Plasma when the effects of a generalized uncertainty principle are taken into consideration. When the parameter of the generalized uncertainty principle tends to zero, i.e., α→0, we obtain the value of the speed of sound for the ideal gas of massless particles, i.e., cs2→1/3, and we recover the expected result that the bulk viscosity ζ→0 when α→0. In addition, in the high temperature limit, i.e., T→∞, the speed of sound satisfies the equation cs2→1/4. The consequence this has on the bulk viscosity is that in the high temperature limit, the ratio of the bulk to shear viscosity ζ/η→5/48. Our results suggest that the GUP introduces a scale into the system breaking the a priori conformal invariance of a system of massless noninteracting particles.http://www.sciencedirect.com/science/article/pii/S0550321318301779 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Nasser Demir Elias C. Vagenas |
spellingShingle |
Nasser Demir Elias C. Vagenas Effect of the GUP on the entropy, speed of sound, and bulk to shear viscosity ratio of an ideal QGP Nuclear Physics B |
author_facet |
Nasser Demir Elias C. Vagenas |
author_sort |
Nasser Demir |
title |
Effect of the GUP on the entropy, speed of sound, and bulk to shear viscosity ratio of an ideal QGP |
title_short |
Effect of the GUP on the entropy, speed of sound, and bulk to shear viscosity ratio of an ideal QGP |
title_full |
Effect of the GUP on the entropy, speed of sound, and bulk to shear viscosity ratio of an ideal QGP |
title_fullStr |
Effect of the GUP on the entropy, speed of sound, and bulk to shear viscosity ratio of an ideal QGP |
title_full_unstemmed |
Effect of the GUP on the entropy, speed of sound, and bulk to shear viscosity ratio of an ideal QGP |
title_sort |
effect of the gup on the entropy, speed of sound, and bulk to shear viscosity ratio of an ideal qgp |
publisher |
Elsevier |
series |
Nuclear Physics B |
issn |
0550-3213 |
publishDate |
2018-08-01 |
description |
In this work we compute the entropy density, speed of sound, and the resulting impact on the bulk viscosity to shear viscosity ratio of an ideal Quark Gluon Plasma when the effects of a generalized uncertainty principle are taken into consideration. When the parameter of the generalized uncertainty principle tends to zero, i.e., α→0, we obtain the value of the speed of sound for the ideal gas of massless particles, i.e., cs2→1/3, and we recover the expected result that the bulk viscosity ζ→0 when α→0. In addition, in the high temperature limit, i.e., T→∞, the speed of sound satisfies the equation cs2→1/4. The consequence this has on the bulk viscosity is that in the high temperature limit, the ratio of the bulk to shear viscosity ζ/η→5/48. Our results suggest that the GUP introduces a scale into the system breaking the a priori conformal invariance of a system of massless noninteracting particles. |
url |
http://www.sciencedirect.com/science/article/pii/S0550321318301779 |
work_keys_str_mv |
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