scholarly journals Analytical results of the one-dimensional Hubbard model in the high-temperature limit

2001 ◽  
Vol 64 (19) ◽  
Author(s):  
I. C. Charret ◽  
E. V. Corrêa Silva ◽  
S. M. de Souza ◽  
O. Rojas Santos ◽  
M. T. Thomaz ◽  
...  
1999 ◽  
Vol 270 (3-4) ◽  
pp. 462-485 ◽  
Author(s):  
I.C. Charret ◽  
E.V.Corrêa Silva ◽  
O.Rojas Santos ◽  
S.M. de Souza ◽  
M.T. Thomaz

2016 ◽  
Vol 31 (32) ◽  
pp. 1650172 ◽  
Author(s):  
R. Bufalo

In this paper, we have considered the thermodynamics of a photon gas subject to the presence of a minimal measurable length following from a covariant extension of the original generalized uncertainty principle (GUP). After consistently establishing a generalized dynamics, we define a GUP deformed Maxwell invariant which serves as the basis for our study. In order to highlight the GUP effects, we compute the one- and two-loop order contribution to the partition function at the high-temperature limit. Afterwards, by computing the internal energy density, we conclude that the additional terms can be seen as corrections [Formula: see text] to the Stefan–Boltzmann law due to GUP effects.


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Joonho Kim ◽  
Seok Kim ◽  
Jaewon Song

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.


AIP Advances ◽  
2020 ◽  
Vol 10 (12) ◽  
pp. 125127
Author(s):  
Václav Janiš ◽  
Antonín Klíč ◽  
Jiawei Yan

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