  The fluctuations of the current for the one-dimensional totally asymmetric
exclusion process with $L$ sites are studied in the relaxation regime of times
$T\sim L^{3/2}$. Using Bethe ansatz for the periodic system with an evolution
conditioned on special initial and final states, the Fourier transform of the
probability distribution of the fluctuations is calculated exactly in the
thermodynamic limit $L\to\infty$ with finite density of particles. It is found
to be equal to a sum over discrete realizations of a scalar field in a linear
potential with coupling constant equal to the rescaled time $T/L^{3/2}$.
