On quantum and thermodynamic fluctuations of fermion fields in a~finite volume
Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 2, pp. 230-238
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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.
@article{TMF_1983_54_2_a6,
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},
publisher = {mathdoc},
volume = {54},
number = {2},
year = {1983},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1983_54_2_a6/}
}
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/