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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 100, Number 2, Pages 270–286 (Mi tmf1647)  
Casimir effect for critical fluctuations of the 2d Ising model with mixed boundary conditions: The results of exact solution

A. I. Bugrij, V. N. Shadura

N. N. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine
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Abstract: The auxiliary Grassmanian field method is used in the derivation of the partition function of the 2D Ising model with periodic boundary conditions with respect to one of the cycles of the torus and mixed (periodic–antiperiodic) conditions with respect to the other cycle. The Casimir energy for critical fluctuations, and also for fluctuations in the neighborhood of the critical point is calculated.
Received: 08.04.1993
English version:
Theoretical and Mathematical Physics, 1994, Volume 100, Issue 2, Pages 1001–1011
DOI: https://doi.org/10.1007/BF01016763
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Language: Russian
Citation: A. I. Bugrij, V. N. Shadura, “Casimir effect for critical fluctuations of the 2d Ising model with mixed boundary conditions: The results of exact solution”, TMF, 100:2 (1994), 270–286; Theoret. and Math. Phys., 100:2 (1994), 1001–1011
Citation in format AMSBIB
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\pages 270--286
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\jour Theoret. and Math. Phys.
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\vol 100
\issue 2
\pages 1001--1011
\crossref{https://doi.org/10.1007/BF01016763}
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