Thermodynamic functions of ideal two- and three-dimensional Fermi gases

1974 ◽  
Vol 16 (1-2) ◽  
pp. 43-50 ◽  
Author(s):  
C. Ebner ◽  
Hui-Hsing Fu
Keyword(s):  
Thermodynamic Functions ◽  
Three Dimensional ◽  
Fermi Gases

scholarly journals Fermi gas approach to general rank theories and quantum curves

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Naotaka Kubo
Keyword(s):  
Matrix Models ◽  
Critical Role ◽  
Three Dimensional ◽  
Fermi Gas ◽  
Fermi Gases ◽  
Partition Functions ◽  
Density Matrices ◽  
General Rank ◽  
Chern Simons ◽  
The Ideal

Abstract It is known that matrix models computing the partition functions of three-dimensional $$ \mathcal{N} $$ N = 4 superconformal Chern-Simons theories described by circular quiver diagrams can be written as the partition functions of ideal Fermi gases when all the nodes have equal ranks. We extend this approach to rank deformed theories. The resulting matrix models factorize into factors depending only on the relative ranks in addition to the Fermi gas factors. We find that this factorization plays a critical role in showing the equality of the partition functions of dual theories related by the Hanany-Witten transition. Furthermore, we show that the inverses of the density matrices of the ideal Fermi gases can be simplified and regarded as quantum curves as in the case without rank deformations. We also comment on four nodes theories using our results.

scholarly journals Thermodynamics of Fermi gases in three dimensional fuzzy space

2015 ◽  
Vol 92 (12) ◽  
Author(s):  
F. G. Scholtz ◽  
J. N. Kriel ◽  
H. W. Groenewald
Keyword(s):  
Three Dimensional ◽  
Fermi Gases ◽  
Fuzzy Space

scholarly journals Thermodynamic properties of the trigonometric Rosen–Morse potential and applications to a quantum gas of mesons

2021 ◽  
pp. 2150095
Author(s):  
Aram Bahroz Brzo ◽  
David Alvarez-Castillo
Keyword(s):  
Thermodynamic Properties ◽  
Thermodynamic Functions ◽  
Morse Potential ◽  
Three Dimensional ◽  
Quantum Gas ◽  
Neutral Systems ◽  
Color Charge ◽  
Charge Neutrality ◽  
Color Confinement ◽  
Quantum Motion

In this study, we work out thermodynamic functions for a quantum gas of mesons described as color-electric charge dipoles. They refer to a particular parametrization of the trigonometric Rosen–Morse potential which allows to transform it to a perturbation of free quantum motion on the three-dimensional hypersphere, [Formula: see text], a manifold that can host only charge-neutral systems, the charge dipoles being the configuration of the minimal number of constituents. To the amount charge neutrality manifests itself as an important aspect of the color confinement in the theory of strong interaction, the Quantum Chromodynamics, we expect our findings to be of interest to the evaluation of temperature phenomena in the physics of hadrons and in particular in a quantum gas of color charge dipoles as are the mesons. The results are illustrated for [Formula: see text] and [Formula: see text] mesons.

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