Fermionization

Remarkably it is shown that the twisted sector boundary state can be written as the untwisted sector boundary state of another fields on the world sheet at the critical radius by performing bosonizations and fermionizations.

Within the fermionization scheme considered the explicit form of these terms can be easily derived for free and periodic boundary conditions in a manner similar to that used in [15,18] for the model with nearest-neighbor interaction.

Although the cloud size and the momentum distribution reveal the many-body nature of the gas, they only provide indirect evidence for the impenetrability or the fermionization of the Bose gas.