Conformally Invariant Quantization of the Liouville Theory
Abstract
The Liouville theory is quantized with use of Fockspace methods, an infinite set of charges L_{n}, n=0, +/1, ..., is constructed which represents the conformal algebra in two dimensions, and consequences of this algebra are discussed. It is then argued, with use of variational methods in Fock space, that the spectrum of the Liouville Hamiltonian is continuous, and that there exist energy eigenstates obeying the constraints L_{n}E>=0, n>0.
 Publication:

Physical Review Letters
 Pub Date:
 May 1982
 DOI:
 10.1103/PhysRevLett.48.1309
 Bibcode:
 1982PhRvL..48.1309C
 Keywords:

 11.30.Ef;
 03.70.+k;
 11.30.Na;
 12.40.Hh;
 Theory of quantized fields;
 Nonlinear and dynamical symmetries