CONFORMAL-INVARIANCE, FINITE-SIZE EFFECTS, AND THE EXACT CORRELATORS FOR THE DELTA-FUNCTION BOSE-GAS

The quantum nonlinear Schrodinger model (one-dimensional Bose gas) is analyzed by means of conformal field theory. We show that conformal algebra, which describes the long-distance asymptotic behavior of the model, in conjunction with a specific choice of the cut-off procedure, can be used to solve the problem of exact correlators and determine unambiguously all nonuniversal quantities of the model. The connection between the Virasoro and Bethe ansatz bases is discussed and a number of new results, including the expression for the current-current correlator defined on a finite-width strip, are presented.