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 |
Fingerprint
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Conformally invariant quantization of the liouville theory. / Curtright, Thomas; Thorn, Charles B.
In: Physical Review Letters, Vol. 48, No. 19, 1982, p. 1309-1313.Research output: Contribution to journal › Article
}
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 -