Mean field kinetic theory of a classical electron gas in a periodic potential. III. The high-temperature limit in two dimensions

1988 ◽  
Vol 52 (1-2) ◽  
pp. 395-421 ◽  
Author(s):  
Angel Alastuey ◽  
Jean Cl�rouin ◽  
Jean -Pierre Hansen
Keyword(s):  
High Temperature ◽  
Kinetic Theory ◽  
Periodic Potential ◽  
Electron Gas ◽  
Mean Field ◽  
Temperature Limit ◽  
Two Dimensions ◽  
Classical Electron ◽  
High Temperature Limit ◽  
Classical Electron Gas

scholarly journals A 4d $$ \mathcal{N} $$ = 1 Cardy Formula

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Joonho Kim ◽  
Seok Kim ◽  
Jaewon Song
Keyword(s):  
Black Holes ◽  
Free Energy ◽  
Asymptotic Behavior ◽  
High Temperature ◽  
Gauge Theory ◽  
Chemical Potential ◽  
Temperature Limit ◽  
Superconformal Index ◽  
High Temperature Limit ◽  
Cardy Formula

Abstract We study the asymptotic behavior of the (modified) superconformal index for 4d $$ \mathcal{N} $$ N = 1 gauge theory. By considering complexified chemical potential, we find that the ‘high-temperature limit’ of the index can be written in terms of the conformal anomalies 3c − 2a. We also find macroscopic entropy from our asymptotic free energy when the Hofman-Maldacena bound 1/2 < a/c < 3/2 for the interacting SCFT is satisfied. We study $$ \mathcal{N} $$ N = 1 theories that are dual to AdS5 × Yp,p and find that the Cardy limit of our index accounts for the Bekenstein-Hawking entropy of large black holes.

Pressure of the classical electron gas

1969 ◽  
Vol 30 (6) ◽  
pp. 337-338 ◽  
Author(s):  
F. Del Rio ◽  
H.E. Dewitt
Keyword(s):  
Electron Gas ◽  
Classical Electron ◽  
Classical Electron Gas
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