We compare the tachyon correlation functions in the Liouville path integral and in the string field theory approaches to quantum gravity coupled to c = 1 matter. Both calculations yield external leg factors which have poles at the quantized values of momentum where there are extra degrees of freedom in the form of dressed special primary fields. If the external leg factors are absorbed in the redefinition of vertex operators, then the correlation functions are zero per unit volume, characteristic of a free-field theory in two dimensions. Indeed, although its bosonic action is non-polynomial, the string field theory is non-interacting if the reflections from the spatial boundaries are ignored.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics