Low-temperature expansion for lattice systems with many ground states

1979 ◽  
Vol 20 (6) ◽  
pp. 711-717 ◽  
Author(s):  
J. Slawny
1989 ◽  
Vol 56 (3-4) ◽  
pp. 261-290 ◽  
Author(s):  
András Sütő ◽  
Christian Gruber ◽  
Pirmin Lemberger

1975 ◽  
Vol 11 (1) ◽  
pp. 387-398 ◽  
Author(s):  
D. Saul ◽  
M. Ferer

1992 ◽  
Vol 374 (3) ◽  
pp. 647-666 ◽  
Author(s):  
C. Vohwinkel ◽  
P. Weisz

2014 ◽  
Vol 2014 ◽  
pp. 1-34 ◽  
Author(s):  
M. Bordag

The low temperature expansion of the free energy in a Casimir effect setup is considered in detail. The starting point is the Lifshitz formula in Matsubara representation and the basic method is its reformulation using the Abel-Plana formula making full use of the analytic properties. This provides a unified description of specific models. We rederive the known results and, in a number of cases, we are able to go beyond. We also discuss the cases with dissipation. It is an aim of the paper to give a coherent exposition of the asymptotic expansions forT→0. The paper includes the derivations and should provide a self-contained representation.


2000 ◽  
Vol 570 (3) ◽  
pp. 644-654
Author(s):  
O. Borisenko ◽  
V. Kushnir

1982 ◽  
Vol 53 (1) ◽  
pp. 1047-1050 ◽  
Author(s):  
V. G. Bar'yakhtar ◽  
V. N. Krivoruchko ◽  
D. A. Yablonskii

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