### Abstract

The Liouville theory is quantized with use of Fock-space methods, an infinite set of charges Ln, 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 Ln|E=0, n>0.

Original language | English (US) |
---|---|

Pages (from-to) | 1309-1313 |

Number of pages | 5 |

Journal | Physical Review Letters |

Volume | 48 |

Issue number | 19 |

DOIs | |

State | Published - 1982 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical Review Letters*,

*48*(19), 1309-1313. https://doi.org/10.1103/PhysRevLett.48.1309

**Conformally invariant quantization of the liouville theory.** / Curtright, Thomas; Thorn, Charles B.

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 48, no. 19, pp. 1309-1313. https://doi.org/10.1103/PhysRevLett.48.1309

}

TY - JOUR

T1 - Conformally invariant quantization of the liouville theory

AU - Curtright, Thomas

AU - Thorn, Charles B.

PY - 1982

Y1 - 1982

N2 - The Liouville theory is quantized with use of Fock-space methods, an infinite set of charges Ln, 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 Ln|E=0, n>0.

AB - The Liouville theory is quantized with use of Fock-space methods, an infinite set of charges Ln, 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 Ln|E=0, n>0.

UR - http://www.scopus.com/inward/record.url?scp=4243391625&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243391625&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.48.1309

DO - 10.1103/PhysRevLett.48.1309

M3 - Article

AN - SCOPUS:4243391625

VL - 48

SP - 1309

EP - 1313

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 19

ER -