A Low Temperature Expansion for Classical N -Vector Models III. A Complete Inductive Description, Fluctuation Integrals

1998 ◽  
Vol 196 (3) ◽  
pp. 485-521 ◽  
Author(s):  
Tadeusz Balaban
Keyword(s):  
Low Temperature ◽  
Temperature Expansion ◽  
N Vector

Low-temperature expansion in the d = 4 Ising model

1992 ◽  
Vol 374 (3) ◽  
pp. 647-666 ◽  
Author(s):  
C. Vohwinkel ◽  
P. Weisz
Keyword(s):  
Ising Model ◽  
Low Temperature ◽  
Temperature Expansion

scholarly journals Low Temperature Expansion in the Lifshitz Formula

2014 ◽  
Vol 2014 ◽  
pp. 1-34 ◽  
Author(s):  
M. Bordag
Keyword(s):  
Free Energy ◽  
Low Temperature ◽  
Asymptotic Expansions ◽  
Casimir Effect ◽  
Basic Method ◽  
Temperature Expansion ◽  
Starting Point ◽  
Unified Description

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.

Low-temperature expansion of spin Green's functions and Dyson-Maleev formalism

1982 ◽  
Vol 53 (1) ◽  
pp. 1047-1050 ◽  
Author(s):  
V. G. Bar'yakhtar ◽  
V. N. Krivoruchko ◽  
D. A. Yablonskii
Keyword(s):  
Low Temperature ◽  
Green's Functions ◽  
Green’S Functions ◽  
Temperature Expansion

Comment on ‘‘Low-temperature expansion for the Ising model’’

1993 ◽  
Vol 70 (5) ◽  
pp. 698-698 ◽  
Author(s):  
A. J. Guttmann ◽  
I. G. Enting
Keyword(s):  
Ising Model ◽  
Low Temperature ◽  
Temperature Expansion
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