Abstract
The specific heat and the elementary excitation spectrum of a hard-sphere two-dimensional Bose gas is calculated assuming that only collective modes contribute to the thermodynamical properties of the fluid, at low temperatures. The calculation is based on the self-consistent-field approximation method with only one parameter adjustable, the hard-core diameter. The theoretical curve of the specific heat fits very well the experimental data of the $^{4}\mathrm{He}$ film at density of 0.0279 ${\mathrm{\AA{}}}^{\ensuremath{-}2}$. The energy spectrum obtained in this work, which is qualitatively similar to the three-dimensional version, indicates the possibility of occurrence of superfluidity in such films.
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