Geodesic
On quantum and thermodynamic fluctuations of fermion fields in a finite volume
Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 2, pp. 230-238 Cet article a éte moissonné depuis la source Math-Net.Ru

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The effective potential $(V_{\text{eff}})$ of fermion fields enclosed in a finite region of space is calculated at nonzero temperatures. In a one-dimensional model, an exact expression for $V_{\text{eff}}$ is obtained in terms of Jacobi theta functions as a function of the temperature $(T)$ and length $(L)$ of the space. In four-dimensional space, the low- and hightemperature behaviors, and also the limit $T\to\hbar c/2L$ are studied. It is shown that the thermal corrections $(TL\ll1)$ to the vacuum energy density and the dimensional corrections $(TL\gg1)$ to the fermion free energy density are exponentially small. 
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     author = {I. V. Krive},
     title = {On quantum and thermodynamic fluctuations of fermion fields in a~finite volume},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {230--238},
     year = {1983},
     volume = {54},
     number = {2},
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}
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I. V. Krive. On quantum and thermodynamic fluctuations of fermion fields in a finite volume. Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 2, pp. 230-238. http://geodesic.mathdoc.fr/item/TMF_1983_54_2_a6/

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