Boundary Liouville Theory: Hamiltonian Description and Quantization
The paper is devoted to the Hamiltonian treatment of classical and quantum properties of Liouville field theory on a timelike strip in 2d Minkowski space. We give a complete description of classical solutions regular in the interior of the strip and obeying constant conformally invariant conditions...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2007 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147798 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Boundary Liouville Theory: Hamiltonian Description and Quantization / H. Dorn, G. Jorjadze // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 19 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862574632917270528 |
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| author | Dorn, H. Jorjadze, G. |
| author_facet | Dorn, H. Jorjadze, G. |
| citation_txt | Boundary Liouville Theory: Hamiltonian Description and Quantization / H. Dorn, G. Jorjadze // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 19 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The paper is devoted to the Hamiltonian treatment of classical and quantum properties of Liouville field theory on a timelike strip in 2d Minkowski space. We give a complete description of classical solutions regular in the interior of the strip and obeying constant conformally invariant conditions on both boundaries. Depending on the values of the two boundary parameters these solutions may have different monodromy properties and are related to bound or scattering states. By Bohr-Sommerfeld quantization we find the quasiclassical discrete energy spectrum for the bound states in agreement with the corresponding limit of spectral data obtained previously by conformal bootstrap methods in Euclidean space. The full quantum version of the special vertex operator e-φ in terms of free field exponentials is constructed in the hyperbolic sector.
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| first_indexed | 2025-11-26T10:10:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147798 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T10:10:15Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Dorn, H. Jorjadze, G. 2019-02-16T08:24:42Z 2019-02-16T08:24:42Z 2007 Boundary Liouville Theory: Hamiltonian Description and Quantization / H. Dorn, G. Jorjadze // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 19 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 37K05; 37K30; 81T30; 81T40 https://nasplib.isofts.kiev.ua/handle/123456789/147798 The paper is devoted to the Hamiltonian treatment of classical and quantum properties of Liouville field theory on a timelike strip in 2d Minkowski space. We give a complete description of classical solutions regular in the interior of the strip and obeying constant conformally invariant conditions on both boundaries. Depending on the values of the two boundary parameters these solutions may have different monodromy properties and are related to bound or scattering states. By Bohr-Sommerfeld quantization we find the quasiclassical discrete energy spectrum for the bound states in agreement with the corresponding limit of spectral data obtained previously by conformal bootstrap methods in Euclidean space. The full quantum version of the special vertex operator e-φ in terms of free field exponentials is constructed in the hyperbolic sector. This paper is a contribution to the Proceedings of the O’Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 22–24, 2006, Budapest, Hungary). We thank Cosmas Zachos for helpful discussions. G.J. is grateful to the organizers of “The O’Raifeartaigh Symposium” for the invitation. He thanks Humboldt University, AEI Golm, ICTP Trieste and ANL Argonne for hospitality, where a main part of his work was done. His research was supported by grants from the DFG (436 GEO 17/3/06) and GRDF (GEP1-3327-TB-03). H.D. was supported in part by DFG with the grant DO 447-3/3. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Boundary Liouville Theory: Hamiltonian Description and Quantization Article published earlier |
| spellingShingle | Boundary Liouville Theory: Hamiltonian Description and Quantization Dorn, H. Jorjadze, G. |
| title | Boundary Liouville Theory: Hamiltonian Description and Quantization |
| title_full | Boundary Liouville Theory: Hamiltonian Description and Quantization |
| title_fullStr | Boundary Liouville Theory: Hamiltonian Description and Quantization |
| title_full_unstemmed | Boundary Liouville Theory: Hamiltonian Description and Quantization |
| title_short | Boundary Liouville Theory: Hamiltonian Description and Quantization |
| title_sort | boundary liouville theory: hamiltonian description and quantization |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147798 |
| work_keys_str_mv | AT dornh boundaryliouvilletheoryhamiltoniandescriptionandquantization AT jorjadzeg boundaryliouvilletheoryhamiltoniandescriptionandquantization |