  We study Zamolodchikov's TT* deformation of two dimensional quantum field
theories in a 't Hooft-like limit, in which we scale the number of degrees of
freedom c to infinity and the deformation parameter t to zero, keeping their
product t*c fixed (more precisely, we keep energies and distances fixed in
units of t*c). In this limit the Hagedorn temperature remains fixed, but other
non-local aspects of the theory disappear. We show that in this limit
correlation functions may be computed exactly, and they are local in space and
polynomials in t. We compute explicitly the deformed three-point functions of
the energy-momentum tensor for a TT*-deformed conformal field theory.
